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132322121113220 = 22543359619692387
BaseRepresentation
bin11110000101100010100101…
…000001100101111010000100
3122100111212112010120011001122
4132011202211001211322010
5114320431201001110340
61145231535424213112
736604646341406513
oct3605424501457204
9570455463504048
10132322121113220
1139186550813065
1212a10ab676a198
1358aabcb8c395c
1424965d3a5a67a
151047006cd8db5
hex7858a5065e84

132322121113220 has 96 divisors (see below), whose sum is σ = 285591770956800. Its totient is φ = 51470579389824.

The previous prime is 132322121113201. The next prime is 132322121113327. The reversal of 132322121113220 is 22311121223231.

It is a self number, because there is not a number n which added to its sum of digits gives 132322121113220.

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, 190763867 + ... + 191456253.

It is an arithmetic number, because the mean of its divisors is an integer number (2974914280800).

Almost surely, 2132322121113220 is an apocalyptic number.

132322121113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132322121113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142795885478400).

132322121113220 is an abundant number, since it is smaller than the sum of its proper divisors (153269649843580).

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

132322121113220 is a wasteful number, since it uses less digits than its factorization.

132322121113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693417 (or 693415 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 132322121113220 its reverse (22311121223231), we get a palindrome (154633242336451).

The spelling of 132322121113220 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 359 430 619 718 860 1238 1436 1795 2476 3095 3590 6190 7180 12380 15437 26617 30874 53234 61748 77185 106468 133085 154370 222221 266170 308740 444442 532340 692387 888884 1111105 1384774 2222210 2769548 3461935 4444420 6923870 9555503 13847740 19111006 29772641 38222012 47777515 59545282 95555030 119090564 148863205 191110060 248566933 297726410 428587553 497133866 595452820 857175106 994267732 1242834665 1714350212 2142937765 2485669330 4285875530 4971338660 8571751060 10688378119 18429264779 21376756238 36858529558 42753512476 53441890595 73717059116 92146323895 106883781190 153862931527 184292647790 213767562380 307725863054 368585295580 615451726108 769314657635 1538629315270 3077258630540 6616106055661 13232212111322 26464424222644 33080530278305 66161060556610 132322121113220