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10002035124216 = 2332296177763771
BaseRepresentation
bin1001000110001100011111…
…0000000010011111111000
31022102012000000200021102100
42101203013300002133320
52302333131442433331
633134512124503400
72051423516536122
oct221430760023770
938365000607370
1010002035124216
113206926090a63
1211565653aab60
13577259980035
1426815b52c212
15125298942ae6
hex918c7c027f8

10002035124216 has 96 divisors (see below), whose sum is σ = 28068364911600. Its totient is φ = 3213828119040.

The previous prime is 10002035124173. The next prime is 10002035124217. The reversal of 10002035124216 is 61242153020001.

10002035124216 is a `hidden beast` number, since 100 + 0 + 2 + 0 + 3 + 512 + 42 + 1 + 6 = 666.

It is a super-2 number, since 2×100020351242162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10002035124216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002035124217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2593590 + ... + 5170181.

Almost surely, 210002035124216 is an apocalyptic number.

It is an amenable number.

10002035124216 is an abundant number, since it is smaller than the sum of its proper divisors (18066329787384).

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

10002035124216 is a wasteful number, since it uses less digits than its factorization.

10002035124216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764429 (or 7764422 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10002035124216 its reverse (61242153020001), we get a palindrome (71244188144217).

The spelling of 10002035124216 in words is "ten trillion, two billion, thirty-five million, one hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 617 696 1044 1234 1851 2088 2468 3702 4936 5553 7404 11106 14808 17893 22212 35786 44424 53679 71572 107358 143144 161037 214716 322074 429432 644148 1288296 7763771 15527542 23291313 31055084 46582626 62110168 69873939 93165252 139747878 186330504 225149359 279495756 450298718 558991512 675448077 900597436 1350896154 1801194872 2026344231 2701792308 4052688462 4790246707 5403584616 8105376924 9580493414 14370740121 16210753848 19160986828 28741480242 38321973656 43112220363 57482960484 86224440726 114965920968 138917154503 172448881452 277834309006 344897762904 416751463509 555668618012 833502927018 1111337236024 1250254390527 1667005854036 2500508781054 3334011708072 5001017562108 10002035124216