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103100021123112 = 23341312238843913
BaseRepresentation
bin10111011100010011011000…
…001000101010100000101000
3111112001021011201222022110000
4113130103120020222200220
5102003142320401414422
61003135255034023000
730500505431002266
oct2734233010524050
9445037151868400
10103100021123112
112a93a523126072
12b691584577a60
13456b3a096cc60
141b660d38a7436
15bdbd05021cac
hex5dc4d822a828

103100021123112 has 80 divisors (see below), whose sum is σ = 310989023854740. Its totient is φ = 31723083419904.

The previous prime is 103100021123053. The next prime is 103100021123131. The reversal of 103100021123112 is 211321120001301.

103100021123112 is a `hidden beast` number, since 10 + 310 + 0 + 0 + 21 + 12 + 311 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85677127365636 + 17422893757476 = 9256194^2 + 4174074^2 .

It is a super-2 number, since 2×1031000211231122 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6119413533 + ... + 6119430380.

Almost surely, 2103100021123112 is an apocalyptic number.

103100021123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103100021123112 is an abundant number, since it is smaller than the sum of its proper divisors (207889002731628).

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

103100021123112 is a wasteful number, since it uses less digits than its factorization.

103100021123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12238843944 (or 12238843931 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103100021123112 its reverse (211321120001301), we get a palindrome (314421141124413).

The spelling of 103100021123112 in words is "one hundred three trillion, one hundred billion, twenty-one million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 12238843913 24477687826 36716531739 48955375652 73433063478 97910751304 110149595217 146866126956 159104970869 220299190434 293732253912 318209941738 330448785651 440598380868 477314912607 636419883476 660897571302 881196761736 954629825214 991346356953 1272839766952 1321795142604 1431944737821 1909259650428 1982692713906 2643590285208 2863889475642 3818519300856 3965385427812 4295834213463 5727778951284 7930770855624 8591668426926 11455557902568 12887502640389 17183336853852 25775005280778 34366673707704 51550010561556 103100021123112