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132013213221210 = 23541647701236641
BaseRepresentation
bin11110000001000010111000…
…101011100000000101011010
3122022102100011210212022201020
4132001002320223200011122
5114300401030041034320
61144434011040103310
736543432326555406
oct3601027053400532
9568370153768636
10132013213221210
1139077542316742
1212981066004b36
135887a3c424339
14248568b83c106
15103de77594940
hex7810b8ae015a

132013213221210 has 128 divisors (see below), whose sum is σ = 325526037677568. Its totient is φ = 34242754560000.

The previous prime is 132013213221209. The next prime is 132013213221361. The reversal of 132013213221210 is 12122312310231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557744490 + ... + 557981130.

It is an arithmetic number, because the mean of its divisors is an integer number (2543172169356).

Almost surely, 2132013213221210 is an apocalyptic number.

132013213221210 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 132013213221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162763018838784).

132013213221210 is an abundant number, since it is smaller than the sum of its proper divisors (193512824456358).

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

132013213221210 is a wasteful number, since it uses less digits than its factorization.

132013213221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238040.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132013213221210 its reverse (12122312310231), we get a palindrome (144135525531441).

The spelling of 132013213221210 in words is "one hundred thirty-two trillion, thirteen billion, two hundred thirteen million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 647 701 1230 1294 1402 1941 2103 3235 3505 3882 4206 6470 7010 9705 10515 19410 21030 26527 28741 53054 57482 79581 86223 132635 143705 159162 172446 236641 265270 287410 397905 431115 453547 473282 709923 795810 862230 907094 1183205 1360641 1419846 2267735 2366410 2721282 3549615 4535470 6803205 7099230 9702281 13606410 18595427 19404562 29106843 37190854 48511405 55786281 58213686 92977135 97022810 111572562 145534215 153106727 165885341 185954270 278931405 291068430 306213454 331770682 459320181 497656023 557862810 765533635 829426705 918640362 995312046 1531067270 1658853410 2296600905 2488280115 4593201810 4976560230 6277375807 6801298981 12554751614 13602597962 18832127421 20403896943 31386879035 34006494905 37664254842 40807793886 62773758070 68012989810 94160637105 102019484715 107327815627 188321274210 204038969430 214655631254 321983446881 536639078135 643966893762 1073278156270 1609917234405 3219834468810 4400440440707 8800880881414 13201321322121 22002202203535 26402642644242 44004404407070 66006606610605 132013213221210