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107210005032996 = 22332354179778609
BaseRepresentation
bin11000011000000111000110…
…010001000011000000100100
3112001121011202120210112021000
4120120013012101003000210
5103023012042242023441
61020003332452553300
731403444603553045
oct3030070621030044
9461534676715230
10107210005032996
1131184564978028
1210036025922830
1347a8b248209b8
141c68dc5bdc8cc
15c5dba19972b6
hex6181c6443024

107210005032996 has 96 divisors (see below), whose sum is σ = 290572844486400. Its totient is φ = 34119715069440.

The previous prime is 107210005032983. The next prime is 107210005033009. The reversal of 107210005032996 is 699230500012701.

It is a happy number.

107210005032996 is a `hidden beast` number, since 10 + 7 + 2 + 100 + 0 + 503 + 29 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (107210005032983) and next prime (107210005033009).

It is a super-2 number, since 2×1072100050329962 (a number of 29 digits) contains 22 as substring.

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, 38545461 + ... + 41233148.

It is an arithmetic number, because the mean of its divisors is an integer number (3026800463400).

Almost surely, 2107210005032996 is an apocalyptic number.

It is an amenable number.

107210005032996 is an abundant number, since it is smaller than the sum of its proper divisors (183362839453404).

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

107210005032996 is a wasteful number, since it uses less digits than its factorization.

107210005032996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79779186 (or 79779178 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 107210005032996 in words is "one hundred seven trillion, two hundred ten billion, five million, thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 541 621 828 1082 1242 1623 2164 2484 3246 4869 6492 9738 12443 14607 19476 24886 29214 37329 49772 58428 74658 111987 149316 223974 335961 447948 671922 1343844 79778609 159557218 239335827 319114436 478671654 718007481 957343308 1436014962 1834908007 2154022443 2872029924 3669816014 4308044886 5504724021 7339632028 8616089772 11009448042 16514172063 22018896084 33028344126 43160227469 49542516189 66056688252 86320454938 99085032378 129480682407 172640909876 198170064756 258961364814 388442047221 517922729628 776884094442 992685231787 1165326141663 1553768188884 1985370463574 2330652283326 2978055695361 3970740927148 4661304566652 5956111390722 8934167086083 11912222781444 17868334172166 26802501258249 35736668344332 53605002516498 107210005032996