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102122210022210 = 23257374381047191
BaseRepresentation
bin10111001110000100101110…
…000011010101001101000010
3111101120210021101212202021200
4113032010232003111031002
5101341132241231202320
61001110143504402030
730340041364533210
oct2716045603251502
9441523241782250
10102122210022210
112a5a2871267514
12b553b75616316
1344ca1106c4a11
141b30a54333cb0
15bc167679e290
hex5ce12e0d5342

102122210022210 has 96 divisors (see below), whose sum is σ = 311650173050112. Its totient is φ = 22711348632960.

The previous prime is 102122210022199. The next prime is 102122210022281. The reversal of 102122210022210 is 12220012221201.

It is a happy number.

102122210022210 is a `hidden beast` number, since 1 + 0 + 212 + 221 + 0 + 0 + 22 + 210 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2190500286 + ... + 2190546905.

It is an arithmetic number, because the mean of its divisors is an integer number (3246355969272).

Almost surely, 2102122210022210 is an apocalyptic number.

102122210022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102122210022210 is an abundant number, since it is smaller than the sum of its proper divisors (209527963027902).

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

102122210022210 is a wasteful number, since it uses less digits than its factorization.

102122210022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381047248 (or 4381047245 counting only the distinct ones).

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

Adding to 102122210022210 its reverse (12220012221201), we get a palindrome (114342222243411).

The spelling of 102122210022210 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred ten million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 7770 11655 23310 4381047191 8762094382 13143141573 21905235955 26286283146 30667330337 39429424719 43810471910 61334660674 65715707865 78858849438 92001991011 131431415730 153336651685 162098746067 184003982022 197147123595 276005973033 306673303370 324197492134 394294247190 460009955055 486296238201 552011946066 810493730335 920019910110 972592476402 1134691222469 1380029865165 1458888714603 1620987460670 2269382444938 2431481191005 2760059730330 2917777429206 3404073667407 4862962382010 5673456112345 6808147334814 7294443573015 10212221002221 11346912224690 14588887146030 17020368337035 20424442004442 34040736674070 51061105011105 102122210022210