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213120424232001 = 3211131631249781293
BaseRepresentation
bin110000011101010011110111…
…001011100100010001000001
31000221121010001210120102020200
4300131103313023210101001
5210413231112100411001
62033134100555155413
762614304534216466
oct6035236713442101
91027533053512220
10213120424232001
11619a7956493a20
121baa01baa45b69
1391bc228ca86c0
143a8b12546366d
151998b40a7a086
hexc1d4f72e4441

213120424232001 has 96 divisors (see below), whose sum is σ = 363911261680512. Its totient is φ = 118485808404480.

The previous prime is 213120424231963. The next prime is 213120424232069. The reversal of 213120424232001 is 100232424021312.

213120424232001 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 0 + 424 + 232 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 213120424232001 - 27 = 213120424231873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213120424232081) 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, 2621592511 + ... + 2621673803.

It is an arithmetic number, because the mean of its divisors is an integer number (3790742309172).

Almost surely, 2213120424232001 is an apocalyptic number.

It is an amenable number.

213120424232001 is a deficient number, since it is larger than the sum of its proper divisors (150790837448511).

213120424232001 is a wasteful number, since it uses less digits than its factorization.

213120424232001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93983 (or 93980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 213120424232001 its reverse (100232424021312), we get a palindrome (313352848253313).

The spelling of 213120424232001 in words is "two hundred thirteen trillion, one hundred twenty billion, four hundred twenty-four million, two hundred thirty-two thousand, one".

Divisors: 1 3 9 11 13 33 39 99 117 143 163 429 489 1287 1467 1793 2119 5379 6357 12497 16137 19071 23309 37491 69927 81293 112473 137467 162461 209781 243879 412401 487383 731637 894223 1056809 1237203 1462149 1787071 2037011 2682669 3170427 5361213 6111033 8048007 9511281 11624899 13250759 16083639 18333099 22407121 26481143 34874697 39752277 67221363 79443429 104624091 119256831 145758349 172259867 201664089 238330287 291292573 437275047 516779601 873877719 1015918621 1311825141 1550338803 1894858537 2621633157 3047755863 5684575611 9143267589 11175104831 13206942073 17053726833 33525314493 39620826219 100575943479 118862478657 145276362803 165594735223 435829088409 496784205669 1307487265227 1490352617007 1821542087453 2152731557899 5464626262359 6458194673697 16393878787077 19374584021091 23680047136889 71040141410667 213120424232001