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103245522542052 = 2231113938471462717
BaseRepresentation
bin10111011110011010111000…
…101100100001110111100100
3111112120011201222120020020020
4113132122320230201313210
5102013033312232321202
61003330201022235140
730514146203443002
oct2736327054416744
9445504658506206
10103245522542052
112a9961a8962730
12b6b5810725ab0
13457c01b221717
141b6d1779dba72
15be09bdbe35bc
hex5de6b8b21de4

103245522542052 has 96 divisors (see below), whose sum is σ = 264766468162560. Its totient is φ = 31053343662720.

The previous prime is 103245522542039. The next prime is 103245522542101. The reversal of 103245522542052 is 250245225542301.

103245522542052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1032455225420522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103245522541995 and 103245522542013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69853398 + ... + 71316114.

It is an arithmetic number, because the mean of its divisors is an integer number (2757984043360).

Almost surely, 2103245522542052 is an apocalyptic number.

103245522542052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103245522542052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132383234081280).

103245522542052 is an abundant number, since it is smaller than the sum of its proper divisors (161520945620508).

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

103245522542052 is a wasteful number, since it uses less digits than its factorization.

103245522542052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466721 (or 1466719 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 103245522542052 in words is "one hundred three trillion, two hundred forty-five billion, five hundred twenty-two million, five hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 1529 1668 3058 3847 4587 6116 7694 9174 11541 15388 18348 23082 42317 46164 84634 126951 169268 253902 507804 534733 1069466 1462717 1604199 2138932 2925434 3208398 4388151 5850868 5882063 6416796 8776302 11764126 16089887 17552604 17646189 23528252 32179774 35292378 48269661 64359548 70584756 96539322 193078644 203317663 406635326 609952989 813270652 1219905978 2236494293 2439811956 4472988586 5627072299 6709482879 8945977172 11254144598 13418965758 16881216897 22508289196 26837931516 33762433794 61897795289 67524867588 123795590578 185693385867 247591181156 371386771734 742773543468 782163049561 1564326099122 2346489148683 3128652198244 4692978297366 8603793545171 9385956594732 17207587090342 25811380635513 34415174180684 51622761271026 103245522542052