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103252150416 = 2439323230729
BaseRepresentation
bin110000000101001001…
…1101100100010010000
3100212111211010200221010
41200022103230202100
53142430022303131
6115233335530520
710313453540412
oct1401223544220
9325454120833
10103252150416
113a875168918
1218016b29a40
13997650a3bc
144dd6d429b2
152a449d9b46
hex180a4ec890

103252150416 has 40 divisors (see below), whose sum is σ = 266764488480. Its totient is φ = 34413542656.

The previous prime is 103252150409. The next prime is 103252150481. The reversal of 103252150416 is 614051252301.

It is a super-2 number, since 2×1032521504162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332140 + ... + 562868.

It is an arithmetic number, because the mean of its divisors is an integer number (6669112212).

Almost surely, 2103252150416 is an apocalyptic number.

103252150416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103252150416 is an abundant number, since it is smaller than the sum of its proper divisors (163512338064).

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

103252150416 is a wasteful number, since it uses less digits than its factorization.

103252150416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240063 (or 240057 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 103252150416 in words is "one hundred three billion, two hundred fifty-two million, one hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 9323 18646 27969 37292 55938 74584 111876 149168 223752 230729 447504 461458 692187 922916 1384374 1845832 2768748 3691664 5537496 11074992 2151086467 4302172934 6453259401 8604345868 12906518802 17208691736 25813037604 34417383472 51626075208 103252150416