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132022213211130 = 2351111324749143053
BaseRepresentation
bin11110000001001011010001…
…000111101111001111111010
3122022110012102000221011220020
4132001023101013233033322
5114301022443040224010
61144442100101111310
736544201342325154
oct3601132107571772
9568405360834806
10132022213211130
1139080340600340
12129829580b8536
135888844b9cb68
142485ca2c4dad4
15103e30276d470
hex7812d11ef3fa

132022213211130 has 128 divisors (see below), whose sum is σ = 348733607904000. Its totient is φ = 31720648028160.

The previous prime is 132022213211047. The next prime is 132022213211149. The reversal of 132022213211130 is 31112312220231.

It is a self number, because there is not a number n which added to its sum of digits gives 132022213211130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922818684 + ... + 922961736.

It is an arithmetic number, because the mean of its divisors is an integer number (2724481311750).

Almost surely, 2132022213211130 is an apocalyptic number.

132022213211130 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 132022213211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174366803952000).

132022213211130 is an abundant number, since it is smaller than the sum of its proper divisors (216711394692870).

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

132022213211130 is a wasteful number, since it uses less digits than its factorization.

132022213211130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167936.

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

Adding to 132022213211130 its reverse (31112312220231), we get a palindrome (163134525431361).

The spelling of 132022213211130 in words is "one hundred thirty-two trillion, twenty-two billion, two hundred thirteen million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 113 165 226 330 339 565 678 1130 1243 1695 2486 3390 3729 6215 7458 12430 18645 24749 37290 49498 74247 123745 143053 148494 247490 272239 286106 371235 429159 544478 715265 742470 816717 858318 1361195 1430530 1573583 1633434 2145795 2722390 2796637 3147166 4083585 4291590 4720749 5593274 7867915 8167170 8389911 9441498 13983185 15735830 16164989 16779822 23603745 27966370 30763007 32329978 41949555 47207490 48494967 61526014 80824945 83899110 92289021 96989934 153815035 161649890 177814879 184578042 242474835 307630070 355629758 461445105 484949670 533444637 889074395 922890210 1066889274 1778148790 2667223185 3540418697 5334446370 7080837394 10621256091 17702093485 21242512182 35404186970 38944605667 53106280455 77889211334 106212560910 116833817001 194723028335 233667634002 389446056670 400067312761 584169085005 800134625522 1168338170010 1200201938283 2000336563805 2400403876566 4000673127610 4400740440371 6001009691415 8801480880742 12002019382830 13202221321113 22003702201855 26404442642226 44007404403710 66011106605565 132022213211130