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421232200132113 = 321943130764816763
BaseRepresentation
bin101111111000110111100001…
…1101010000010011000010001
32001020110101221021122221000200
41133301233003222002120101
5420202432021213211423
64051515222402205413
7154504010413165416
oct13761570352023021
92036411837587020
10421232200132113
11112243633523657
123b2b1757653869
131510704525b0a6
147603a6670c10d
1533a7339a1ed43
hex17f1bc3a82611

421232200132113 has 96 divisors (see below), whose sum is σ = 656064281832960. Its totient is φ = 259577111324160.

The previous prime is 421232200132039. The next prime is 421232200132157. The reversal of 421232200132113 is 311231002232124.

421232200132113 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 322 + 0 + 0 + 1 + 321 + 13 = 666.

It is not a de Polignac number, because 421232200132113 - 29 = 421232200131601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (421232200132313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62284811070 + ... + 62284817832.

It is an arithmetic number, because the mean of its divisors is an integer number (6834002935760).

Almost surely, 2421232200132113 is an apocalyptic number.

421232200132113 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

421232200132113 is a deficient number, since it is larger than the sum of its proper divisors (234832081700847).

421232200132113 is a wasteful number, since it uses less digits than its factorization.

421232200132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14619 (or 14616 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 421232200132113 its reverse (311231002232124), we get a palindrome (732463202364237).

The spelling of 421232200132113 in words is "four hundred twenty-one trillion, two hundred thirty-two billion, two hundred million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 19 43 57 129 171 387 817 1307 2451 3921 6481 6763 7353 11763 19443 20289 24833 56201 58329 60867 74499 123139 128497 168603 223497 278683 290809 369417 385491 505809 836049 872427 1067819 1108251 1156473 2508147 2617281 3203457 5294977 5525371 8470667 8839241 9610371 15884931 16576113 25412001 26517723 43831003 47654793 49728339 76236003 79553169 131493009 160942673 167945579 364238681 380087363 394479027 482828019 503836737 832789057 1092716043 1140262089 1448484057 1511510211 1884733129 2498367171 3278148129 3420786267 5654199387 6920534939 7221659897 7495101513 16962598161 20761604817 21664979691 35809929451 57287120921 62284814451 64994939073 107429788353 171861362763 322289365059 515584088289 1088455297499 2463346199603 3265365892497 7390038598809 9796097677491 22170115796427 46803577792457 140410733377371 421232200132113