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13213013130 = 23253146710141
BaseRepresentation
bin11000100111000111…
…01001010010001010
31021002211121121112200
430103203221102022
5204030012410010
610023040421030
7645300521112
oct142343512212
937084547480
1013213013130
115670446369
122689017776
131327564185
148d4b78042
15524ecbcc0
hex3138e948a

13213013130 has 96 divisors (see below), whose sum is σ = 35541462528. Its totient is φ = 3402172800.

The previous prime is 13213013111. The next prime is 13213013137. The reversal of 13213013130 is 3131031231.

It is a happy number.

13213013130 is a `hidden beast` number, since 1 + 321 + 30 + 1 + 313 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13213013137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297860 + ... + 1308000.

It is an arithmetic number, because the mean of its divisors is an integer number (370223568).

Almost surely, 213213013130 is an apocalyptic number.

13213013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17770731264).

13213013130 is an abundant number, since it is smaller than the sum of its proper divisors (22328449398).

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

13213013130 is a wasteful number, since it uses less digits than its factorization.

13213013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10652 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13213013130 its reverse (3131031231), we get a palindrome (16344044361).

The spelling of 13213013130 in words is "thirteen billion, two hundred thirteen million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 467 558 930 934 1395 1401 2335 2790 2802 4203 4670 7005 8406 10141 14010 14477 20282 21015 28954 30423 42030 43431 50705 60846 72385 86862 91269 101410 130293 144770 152115 182538 217155 260586 304230 314371 434310 456345 628742 651465 912690 943113 1302930 1571855 1886226 2829339 3143710 4715565 4735847 5658678 9431130 9471694 14146695 14207541 23679235 28293390 28415082 42622623 47358470 71037705 85245246 142075410 146811257 213113115 293622514 426226230 440433771 734056285 880867542 1321301313 1468112570 2202168855 2642602626 4404337710 6606506565 13213013130