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102221220001020 = 223519105437850439
BaseRepresentation
bin10111001111100000111011…
…100000011011010011111100
3111101221020211120121210202220
4113033200323200123103330
5101344243024310013040
61001223440304045340
730350145060501441
oct2717407340332374
9441836746553686
10102221220001020
112a630859874a8a
12b56b1a7903850
13450655c07c2b3
141b35767ac39c8
15bc401db292d0
hex5cf83b81b4fc

102221220001020 has 96 divisors (see below), whose sum is σ = 301286807539200. Its totient is φ = 25824032918784.

The previous prime is 102221220001009. The next prime is 102221220001057. The reversal of 102221220001020 is 20100022122201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119772961 + ... + 120623399.

It is an arithmetic number, because the mean of its divisors is an integer number (3138404245200).

Almost surely, 2102221220001020 is an apocalyptic number.

102221220001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221220001020 is an abundant number, since it is smaller than the sum of its proper divisors (199065587538180).

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

102221220001020 is a wasteful number, since it uses less digits than its factorization.

102221220001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955907 (or 955905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102221220001020 its reverse (20100022122201), we get a palindrome (122321242123221).

The spelling of 102221220001020 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 105437 210874 316311 421748 527185 632622 850439 1054370 1265244 1581555 1700878 2003303 2108740 2551317 3163110 3401756 4006606 4252195 5102634 6009909 6326220 8013212 8504390 10016515 10205268 12019818 12756585 16158341 17008780 20033030 24039636 25513170 30049545 32316682 40066060 48475023 51026340 60099090 64633364 80791705 96950046 120198180 161583410 193900092 242375115 323166820 484750230 969500460 89667736843 179335473686 269003210529 358670947372 448338684215 538006421058 896677368430 1076012842116 1345016052645 1703687000017 1793354736860 2690032105290 3407374000034 5111061000051 5380064210580 6814748000068 8518435000085 10222122000102 17036870000170 20444244000204 25555305000255 34073740000340 51110610000510 102221220001020