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33230103120 = 2433541375227
BaseRepresentation
bin11110111100101010…
…110010001001010000
310011202212022010212000
4132330222302021100
51021023401244440
623133220234000
72254321134054
oct367452621120
9104685263760
1033230103120
1113102588345
12653483b900
133197643816
14187342bc64
15ce74c1730
hex7bcab2250

33230103120 has 160 divisors (see below), whose sum is σ = 117251245440. Its totient is φ = 8645207040.

The previous prime is 33230103119. The next prime is 33230103149. The reversal of 33230103120 is 2130103233.

33230103120 is a `hidden beast` number, since 332 + 301 + 0 + 31 + 2 + 0 = 666.

It is a super-2 number, since 2×332301031202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33230103093 and 33230103102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99054 + ... + 276173.

It is an arithmetic number, because the mean of its divisors is an integer number (732820284).

Almost surely, 233230103120 is an apocalyptic number.

33230103120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33230103120 is an abundant number, since it is smaller than the sum of its proper divisors (84021142320).

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

33230103120 is a wasteful number, since it uses less digits than its factorization.

33230103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375290 (or 375278 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33230103120 its reverse (2130103233), we get a palindrome (35360206353).

The spelling of 33230103120 in words is "thirty-three billion, two hundred thirty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1845 1968 2160 2214 2460 2952 3280 3690 4428 4920 5535 5904 7380 8856 9840 11070 14760 17712 22140 29520 44280 88560 375227 750454 1125681 1500908 1876135 2251362 3001816 3377043 3752270 4502724 5628405 6003632 6754086 7504540 9005448 10131129 11256810 13508172 15009080 15384307 16885215 18010896 20262258 22513620 27016344 30018160 30768614 33770430 40524516 45027240 46152921 50655645 54032688 61537228 67540860 76921535 81049032 90054480 92305842 101311290 123074456 135081720 138458763 153843070 162098064 184611684 202622580 230764605 246148912 270163440 276917526 307686140 369223368 405245160 415376289 461529210 553835052 615372280 692293815 738446736 810490320 830752578 923058420 1107670104 1230744560 1384587630 1661505156 1846116840 2076881445 2215340208 2769175260 3323010312 3692233680 4153762890 5538350520 6646020624 8307525780 11076701040 16615051560 33230103120