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122013203130 = 232572132128261
BaseRepresentation
bin111000110100010001…
…1011011101010111010
3102122221022100221000100
41301220203123222322
53444340340000010
6132015130220230
711546413054200
oct1615043335272
9378838327010
10122013203130
11478222aa465
121b791b84676
13b676305220
145c9687b070
153291ac52c0
hex1c688dbaba

122013203130 has 144 divisors (see below), whose sum is σ = 397414619784. Its totient is φ = 25743432960.

The previous prime is 122013203113. The next prime is 122013203183. The reversal of 122013203130 is 31302310221.

122013203130 is a `hidden beast` number, since 1 + 220 + 132 + 0 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108522148329 + 13491054801 = 329427^2 + 116151^2 .

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 71 ways as a sum of consecutive naturals, for example, 1006801 + ... + 1121460.

Almost surely, 2122013203130 is an apocalyptic number.

122013203130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122013203130 is an abundant number, since it is smaller than the sum of its proper divisors (275401416654).

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

122013203130 is a wasteful number, since it uses less digits than its factorization.

122013203130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128301 (or 2128291 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122013203130 its reverse (31302310221), we get a palindrome (153315513351).

The spelling of 122013203130 in words is "one hundred twenty-two billion, thirteen million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 8190 9555 11466 19110 28665 57330 2128261 4256522 6384783 10641305 12769566 14897827 19154349 21282610 27667393 29795654 31923915 38308698 44693481 55334786 63847830 74489135 83002179 89386962 95771745 104284789 134080443 138336965 148978270 166004358 191543490 193671751 208569578 223467405 249006537 268160886 276673930 312854367 387343502 415010895 446934810 498013074 521423945 581015253 625708734 670402215 830021790 938563101 968358755 1042847890 1162030506 1245032685 1340804430 1355702257 1564271835 1743045759 1877126202 1936717510 2490065370 2711404514 2905076265 3128543670 3486091518 4067106771 4692815505 5810152530 6778511285 8134213542 8715228795 9385631010 12201320313 13557022570 17430457590 20335533855 24402640626 40671067710 61006601565 122013203130