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102201011220222 = 23419127726001337
BaseRepresentation
bin10111001111001110000110…
…111110000010111011111110
3111101212022200012020101010000
4113033032012332002323332
5101343430132333021342
61001210255115455130
730345531221626245
oct2717160676027376
9441768605211100
10102201011220222
112a623229505952
12b5672a7a574a6
13450468b364735
141b347abbb195c
15bc37398bc44c
hex5cf386f82efe

102201011220222 has 80 divisors (see below), whose sum is σ = 241247694338640. Its totient is φ = 32248729003392.

The previous prime is 102201011220211. The next prime is 102201011220337. The reversal of 102201011220222 is 222022110102201.

It is a happy number.

102201011220222 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 0 + 1 + 1 + 220 + 222 = 666.

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 = 102201011220195 and 102201011220204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9070063 + ... + 16931274.

It is an arithmetic number, because the mean of its divisors is an integer number (3015596179233).

Almost surely, 2102201011220222 is an apocalyptic number.

102201011220222 is an abundant number, since it is smaller than the sum of its proper divisors (139046683118418).

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

102201011220222 is a wasteful number, since it uses less digits than its factorization.

102201011220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26002647 (or 26002638 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102201011220222 its reverse (222022110102201), we get a palindrome (324223121322423).

The spelling of 102201011220222 in words is "one hundred two trillion, two hundred one billion, eleven million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1277 1539 2554 3078 3831 7662 11493 22986 24263 34479 48526 68958 72789 103437 145578 206874 218367 436734 655101 1310202 1965303 3930606 26001337 52002674 78004011 156008022 234012033 468024066 494025403 702036099 988050806 1404072198 1482076209 2106108297 2964152418 4212216594 4446228627 8892457254 13338685881 26677371762 33203707349 40016057643 66407414698 80032115286 99611122047 199222244094 298833366141 597666732282 630870439631 896500098423 1261740879262 1793000196846 1892611318893 2689500295269 3785222637786 5379000590538 5677833956679 11355667913358 17033501870037 34067003740074 51100505610111 102201011220222