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103021112032 = 2523503278279
BaseRepresentation
bin101111111110010001…
…0010110101011100000
3100211220201101201211221
41133330202112223200
53141441401041112
6115154403544424
710304650001206
oct1377442265340
9324821351757
10103021112032
113a766806303
1217b7168b114
13993a6a65b7
144db43a1076
152a2e59de07
hex17fc896ae0

103021112032 has 48 divisors (see below), whose sum is σ = 212062717440. Its totient is φ = 49172835712.

The previous prime is 103021112027. The next prime is 103021112069. The reversal of 103021112032 is 230211120301.

It is a super-2 number, since 2×1030211120322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103021111997 and 103021112015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231069 + ... + 509347.

It is an arithmetic number, because the mean of its divisors is an integer number (4417973280).

Almost surely, 2103021112032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103021112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106031358720).

103021112032 is an abundant number, since it is smaller than the sum of its proper divisors (109041605408).

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

103021112032 is a wasteful number, since it uses less digits than its factorization.

103021112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278815 (or 278807 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103021112032 its reverse (230211120301), we get a palindrome (333232232333).

The spelling of 103021112032 in words is "one hundred three billion, twenty-one million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 503 736 1006 2012 4024 8048 11569 16096 23138 46276 92552 185104 278279 370208 556558 1113116 2226232 4452464 6400417 8904928 12800834 25601668 51203336 102406672 139974337 204813344 279948674 559897348 1119794696 2239589392 3219409751 4479178784 6438819502 12877639004 25755278008 51510556016 103021112032