Search a number
-
+
102220012210030 = 251113103881787747
BaseRepresentation
bin10111001111011111110011…
…100001000100011101101110
3111101221010201101221200000021
4113033133303201010131232
5101344233041111210110
61001223120400552354
730350103123444061
oct2717376341043556
9441833641850007
10102220012210030
112a63029a027810
12b56ab0b3226ba
1345063c8a8a880
141b356915268d8
15bc3e9caa02da
hex5cf7f384476e

102220012210030 has 128 divisors (see below), whose sum is σ = 218509850797056. Its totient is φ = 33939878860800.

The previous prime is 102220012209961. The next prime is 102220012210031. The reversal of 102220012210030 is 30012210022201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102220012209986 and 102220012210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220012210031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129368617 + ... + 130156363.

It is an arithmetic number, because the mean of its divisors is an integer number (1707108209352).

Almost surely, 2102220012210030 is an apocalyptic number.

102220012210030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102220012210030 is an abundant number, since it is smaller than the sum of its proper divisors (116289838587026).

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

102220012210030 is a wasteful number, since it uses less digits than its factorization.

102220012210030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788762.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102220012210030 its reverse (30012210022201), we get a palindrome (132232222232231).

The spelling of 102220012210030 in words is "one hundred two trillion, two hundred twenty billion, twelve million, two hundred ten thousand, thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 103 110 130 143 206 286 515 715 881 1030 1133 1339 1430 1762 2266 2678 4405 5665 6695 8810 9691 11330 11453 13390 14729 19382 22906 29458 48455 57265 73645 90743 96910 114530 125983 147290 181486 251966 453715 629915 787747 907430 998173 1179659 1259830 1575494 1996346 2359318 3938735 4990865 5898295 7877470 8665217 9981730 10240711 11796590 12976249 17330434 20481422 25952498 43326085 51203555 64881245 81137941 86652170 102407110 112647821 129762490 162275882 225295642 405689705 563239105 694005107 811379410 892517351 1054793233 1126478210 1388010214 1785034702 2109586466 3470025535 4462586755 5273966165 6940051070 7634056177 8925173510 9022066391 10547932330 11602725563 15268112354 18044132782 23205451126 38170280885 45110331955 58013627815 71482526021 76340561770 90220663910 99242730301 116027255630 142965052042 198485460602 357412630105 496213651505 714825260210 786307786231 929272838273 992427303010 1572615572462 1858545676546 3931538931155 4646364191365 7863077862310 9292728382730 10222001221003 20444002442006 51110006105015 102220012210030