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103021233312330 = 23453717919203791
BaseRepresentation
bin10111011011001010000000…
…000001000001001001001010
3111111202201210212210211110000
4113123022000001001021022
5102000344441211443310
61003035145021503430
730462016125444114
oct2733120001011112
9444681725724400
10103021233312330
112a90a0724a0763
12b67a256711b76
134563b25a09788
141b6237bb123b4
15bd9c4319a4c0
hex5db28004124a

103021233312330 has 160 divisors (see below), whose sum is σ = 286088875395840. Its totient is φ = 26580503445120.

The previous prime is 103021233312323. The next prime is 103021233312359. The reversal of 103021233312330 is 33213332120301.

103021233312330 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 12 + 3 + 3 + 312 + 330 = 666.

It is a super-2 number, since 2×1030212333123302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103021233312294 and 103021233312303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4237266 + ... + 14966525.

It is an arithmetic number, because the mean of its divisors is an integer number (1788055471224).

Almost surely, 2103021233312330 is an apocalyptic number.

103021233312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103021233312330 is an abundant number, since it is smaller than the sum of its proper divisors (183067642083510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103021233312330 is a wasteful number, since it uses less digits than its factorization.

103021233312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19204026 (or 19204017 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103021233312330 its reverse (33213332120301), we get a palindrome (136234565432631).

The spelling of 103021233312330 in words is "one hundred three trillion, twenty-one billion, two hundred thirty-three million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 179 185 222 270 333 358 370 405 537 555 666 810 895 999 1074 1110 1611 1665 1790 1998 2685 2997 3222 3330 4833 4995 5370 5994 6623 8055 9666 9990 13246 14499 14985 16110 19869 24165 28998 29970 33115 39738 48330 59607 66230 72495 99345 119214 144990 178821 198690 298035 357642 536463 596070 894105 1072926 1788210 2682315 5364630 19203791 38407582 57611373 96018955 115222746 172834119 192037910 288056865 345668238 518502357 576113730 710540267 864170595 1037004714 1421080534 1555507071 1728341190 2131620801 2592511785 3111014142 3437478589 3552701335 4263241602 5185023570 6394862403 6874957178 7105402670 7777535355 10312435767 10658104005 12789724806 15555070710 17187392945 19184587209 20624871534 21316208010 30937307301 31974312015 34374785890 38369174418 51562178835 57553761627 61874614602 63948624030 92811921903 95922936045 103124357670 115107523254 127186707793 154686536505 185623843806 191845872090 254373415586 278435765709 287768808135 309373073010 381560123379 464059609515 556871531418 575537616270 635933538965 763120246758 928119219030 1144680370137 1271867077930 1392178828545 1907800616895 2289360740274 2784357657090 3434041110411 3815601233790 5723401850685 6868082220822 10302123331233 11446803701370 17170205552055 20604246662466 34340411104110 51510616656165 103021233312330