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103113020221020 = 223256311513159999
BaseRepresentation
bin10111011100011111011110…
…111100010010011001011100
3111112002111201200001220110200
4113130133132330102121130
5102003400431134033040
61003145244553503500
730501445523342025
oct2734373674223134
9445074650056420
10103113020221020
112a944a93844797
12b693bb1a11b90
13456c692ab7174
141b669a8079c4c
15bdc316346630
hex5dc7def1265c

103113020221020 has 144 divisors (see below), whose sum is σ = 313297770240000. Its totient is φ = 27450956937600.

The previous prime is 103113020220989. The next prime is 103113020221109. The reversal of 103113020221020 is 20122020311301.

103113020221020 is a `hidden beast` number, since 1 + 0 + 311 + 302 + 0 + 22 + 10 + 20 = 666.

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 = 103113020220984 and 103113020221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718548981 + ... + 1718608979.

It is an arithmetic number, because the mean of its divisors is an integer number (2175678960000).

Almost surely, 2103113020221020 is an apocalyptic number.

103113020221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103113020221020 is an abundant number, since it is smaller than the sum of its proper divisors (210184750018980).

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

103113020221020 is a wasteful number, since it uses less digits than its factorization.

103113020221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75776 (or 75771 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103113020221020 its reverse (20122020311301), we get a palindrome (123235040532321).

The spelling of 103113020221020 in words is "one hundred three trillion, one hundred thirteen billion, twenty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 631 1262 1893 2524 3155 3786 5679 6310 7572 9465 11358 12620 15131 18930 22716 28395 30262 37860 45393 56790 59999 60524 75655 90786 113580 119998 136179 151310 179997 181572 226965 239996 272358 299995 302620 359994 453930 539991 544716 599990 680895 719988 899985 907860 1079982 1199980 1361790 1799970 2159964 2699955 2723580 3599940 5399910 9547661 10799820 19095322 28642983 37859369 38190644 47738305 57285966 75718738 85928949 95476610 113578107 114571932 143214915 151437476 171857898 189296845 190953220 227156214 286429830 340734321 343715796 378593690 429644745 454312428 567890535 572859660 681468642 757187380 859289490 907844869 1135781070 1362937284 1703671605 1718578980 1815689738 2271562140 2723534607 3407343210 3631379476 4539224345 5447069214 6814686420 8170603821 9078448690 10894138428 13617673035 16341207642 18156897380 27235346070 32682415284 40853019105 54470692140 81706038210 163412076420 572850112339 1145700224678 1718550337017 2291400449356 2864250561695 3437100674034 5155651011051 5728501123390 6874201348068 8592751685085 10311302022102 11457002246780 17185503370170 20622604044204 25778255055255 34371006740340 51556510110510 103113020221020