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103355551010016 = 25322040717585801
BaseRepresentation
bin10111100000000001010110…
…111001110100110011100000
3111112221200202001112112022100
4113200001112321310303200
5102021334132024310031
61003452515030210400
730525122622131304
oct2740012671646340
9445850661475270
10103355551010016
112aa28930087188
12b712bb8ab3a00
1345895045a8176
141b746148b1d04
15be37ad560de6
hex5e0056e74ce0

103355551010016 has 72 divisors (see below), whose sum is σ = 293931767669904. Its totient is φ = 34450160140800.

The previous prime is 103355551009979. The next prime is 103355551010083. The reversal of 103355551010016 is 610010155553301.

103355551010016 is a `hidden beast` number, since 1 + 0 + 3 + 35 + 5 + 5 + 510 + 100 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2915685 + ... + 14670116.

It is an arithmetic number, because the mean of its divisors is an integer number (4082385662082).

Almost surely, 2103355551010016 is an apocalyptic number.

103355551010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103355551010016 is an abundant number, since it is smaller than the sum of its proper divisors (190576216659888).

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

103355551010016 is a wasteful number, since it uses less digits than its factorization.

103355551010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17606224 (or 17606213 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 103355551010016 in words is "one hundred three trillion, three hundred fifty-five billion, five hundred fifty-one million, ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 20407 40814 61221 81628 122442 163256 183663 244884 326512 367326 489768 653024 734652 979536 1469304 1959072 2938608 5877216 17585801 35171602 52757403 70343204 105514806 140686408 158272209 211029612 281372816 316544418 422059224 562745632 633088836 844118448 1266177672 1688236896 2532355344 5064710688 358873441007 717746882014 1076620323021 1435493764028 2153240646042 2870987528056 3229860969063 4306481292084 5741975056112 6459721938126 8612962584168 11483950112224 12919443876252 17225925168336 25838887752504 34451850336672 51677775505008 103355551010016