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102224021220 = 22335672825429
BaseRepresentation
bin101111100110100000…
…1101100011011100100
3100202212011112022211000
41133031001230123210
53133323322134340
6114543331313300
710246130562246
oct1371501543344
9322764468730
10102224021220
113a397882172
121798a74b830
139841501929
144d3a592096
1529d45edd30
hex17cd06c6e4

102224021220 has 96 divisors (see below), whose sum is σ = 322777123200. Its totient is φ = 26852867712.

The previous prime is 102224021197. The next prime is 102224021239. The reversal of 102224021220 is 22120422201.

102224021220 is a `hidden beast` number, since 10 + 222 + 402 + 12 + 20 = 666.

102224021220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102224021193 and 102224021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376535 + ... + 1448894.

It is an arithmetic number, because the mean of its divisors is an integer number (3362261700).

Almost surely, 2102224021220 is an apocalyptic number.

102224021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102224021220 is an abundant number, since it is smaller than the sum of its proper divisors (220553101980).

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

102224021220 is a wasteful number, since it uses less digits than its factorization.

102224021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825514 (or 2825506 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102224021220 its reverse (22120422201), we get a palindrome (124344443421).

The spelling of 102224021220 in words is "one hundred two billion, two hundred twenty-four million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 12060 18090 36180 2825429 5650858 8476287 11301716 14127145 16952574 25428861 28254290 33905148 42381435 50857722 56508580 76286583 84762870 101715444 127144305 152573166 169525740 189303743 254288610 305146332 378607486 381432915 508577220 567911229 757214972 762865830 946518715 1135822458 1525731660 1703733687 1893037430 2271644916 2839556145 3407467374 3786074860 5111201061 5679112290 6814934748 8518668435 10222402122 11358224580 17037336870 20444804244 25556005305 34074673740 51112010610 102224021220