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102220102010200 = 23522930269582251
BaseRepresentation
bin10111001111011111111000…
…110111101000010101011000
3111101221010221122220222200111
4113033133320313220111120
5101344233232103311300
61001223133325414104
730350105263645126
oct2717377067502530
9441833848828614
10102220102010200
112a630335791a29
12b56ab3540a334
13450641156c875
141b3569d420916
15bc3ea58dc9ba
hex5cf7f8de8558

102220102010200 has 96 divisors (see below), whose sum is σ = 245865514158000. Its totient is φ = 39476736320000.

The previous prime is 102220102010161. The next prime is 102220102010209. The reversal of 102220102010200 is 2010201022201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220102010209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175269075 + ... + 175851325.

Almost surely, 2102220102010200 is an apocalyptic number.

102220102010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220102010200 is an abundant number, since it is smaller than the sum of its proper divisors (143645412147800).

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

102220102010200 is a wasteful number, since it uses less digits than its factorization.

102220102010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612565 (or 612556 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102220102010200 its reverse (2010201022201), we get a palindrome (104230303032401).

The spelling of 102220102010200 in words is "one hundred two trillion, two hundred twenty billion, one hundred two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 30269 60538 121076 151345 242152 302690 582251 605380 756725 877801 1164502 1210760 1513450 1755602 2329004 2911255 3026900 3511204 4389005 4658008 5822510 6053800 7022408 8778010 11645020 14556275 16885279 17556020 21945025 23290040 29112550 33770558 35112040 43890050 58225100 67541116 84426395 87780100 116450200 135082232 168852790 175560200 337705580 422131975 675411160 844263950 1688527900 3377055800 17624155519 35248311038 70496622076 88120777595 140993244152 176241555190 352483110380 440603887975 511100510051 704966220760 881207775950 1022201020102 1762415551900 2044402040204 2555502550255 3524831103800 4088804080408 5111005100510 10222010201020 12777512751275 20444020402040 25555025502550 51110051005100 102220102010200