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102220130016 = 25321312709397
BaseRepresentation
bin101111100110011001…
…0110110011011100000
3100202211220012122002100
41133030302312123200
53133321323130031
6114543112050400
710246052524524
oct1371462663340
9322756178070
10102220130016
113a3956646a4
1217989393a00
13984076b744
144d39c5bd84
1529d40d0de6
hex17cccb66e0

102220130016 has 72 divisors (see below), whose sum is σ = 292907598984. Its totient is φ = 33813262080.

The previous prime is 102220129993. The next prime is 102220130027. The reversal of 102220130016 is 610031022201.

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 (18).

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, 1316971 + ... + 1392426.

It is an arithmetic number, because the mean of its divisors is an integer number (4068161097).

Almost surely, 2102220130016 is an apocalyptic number.

102220130016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102220130016 is an abundant number, since it is smaller than the sum of its proper divisors (190687468968).

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

102220130016 is a wasteful number, since it uses less digits than its factorization.

102220130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709544 (or 2709533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102220130016 its reverse (610031022201), we get a palindrome (712251152217).

The spelling of 102220130016 in words is "one hundred two billion, two hundred twenty million, one hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9432 12576 18864 37728 2709397 5418794 8128191 10837588 16256382 21675176 24384573 32512764 43350352 48769146 65025528 86700704 97538292 130051056 195076584 260102112 354931007 390153168 709862014 780306336 1064793021 1419724028 2129586042 2839448056 3194379063 4259172084 5678896112 6388758126 8518344168 11357792224 12777516252 17036688336 25555032504 34073376672 51110065008 102220130016