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102222210212010 = 2345767269083709
BaseRepresentation
bin10111001111100001110110…
…100001110010000010101010
3111101221100101120212201220000
4113033201312201302002222
5101344302041303241020
61001224122435443430
730350211443242110
oct2717416641620252
9441840346781800
10102222210212010
112a631217812179
12b56b423456576
13450668926c965
141b3581d403ab0
15bc407aa25090
hex5cf8768720aa

102222210212010 has 160 divisors (see below), whose sum is σ = 318818990286720. Its totient is φ = 23016344047488.

The previous prime is 102222210211991. The next prime is 102222210212021. The reversal of 102222210212010 is 10212012222201.

It is a happy number.

102222210212010 is a `hidden beast` number, since 1 + 0 + 222 + 221 + 0 + 21 + 201 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134161965 + ... + 134921744.

It is an arithmetic number, because the mean of its divisors is an integer number (1992618689292).

Almost surely, 2102222210212010 is an apocalyptic number.

102222210212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102222210212010 is an abundant number, since it is smaller than the sum of its proper divisors (216596780074710).

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

102222210212010 is a wasteful number, since it uses less digits than its factorization.

102222210212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269083802 (or 269083793 counting only the distinct ones).

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

Adding to 102222210212010 its reverse (10212012222201), we get a palindrome (112434222434211).

The spelling of 102222210212010 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred ten million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 81 90 105 126 134 135 162 189 201 210 270 315 335 378 402 405 469 567 603 630 670 810 938 945 1005 1134 1206 1407 1809 1890 2010 2345 2814 2835 3015 3618 4221 4690 5427 5670 6030 7035 8442 9045 10854 12663 14070 18090 21105 25326 27135 37989 42210 54270 63315 75978 126630 189945 379890 269083709 538167418 807251127 1345418545 1614502254 1883585963 2421753381 2690837090 3767171926 4036255635 4843506762 5650757889 7265260143 8072511270 9417929815 11301515778 12108766905 14530520286 16952273667 18028608503 18835859630 21795780429 24217533810 28253789445 33904547334 36057217006 36326300715 43591560858 50856821001 54085825509 56507578890 72652601430 84761368335 90143042515 101713642002 108171651018 108978902145 126200259521 152570463003 162257476527 169522736670 180286085030 217957804290 252400519042 254284105005 270429127545 305140926006 324514953054 378600778563 486772429581 508568210010 540858255090 631001297605 757201557126 762852315015 811287382635 973544859162 1135802335689 1262002595210 1460317288743 1525704630030 1622574765270 1893003892815 2271604671378 2433862147905 2920634577486 3407407007067 3786007785630 4867724295810 5679011678445 6814814014134 7301586443715 10222221021201 11358023356890 14603172887430 17037035035335 20444442042402 34074070070670 51111105106005 102222210212010