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100321431213 = 31929736411297
BaseRepresentation
bin101110101101110011…
…1111000111010101101
3100120221120110201222110
41131123213320322231
53120424241244323
6114030444234233
710151026044513
oct1353347707255
9316846421873
10100321431213
1139600918133
121753953b979
1395ca2a2223
144bd9a124b3
15292257d793
hex175b9f8ead

100321431213 has 64 divisors (see below), whose sum is σ = 147996921600. Its totient is φ = 60197437440.

The previous prime is 100321431209. The next prime is 100321431241. The reversal of 100321431213 is 312134123001.

It is not a de Polignac number, because 100321431213 - 22 = 100321431209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100321431213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321431313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77348181 + ... + 77349477.

It is an arithmetic number, because the mean of its divisors is an integer number (2312451900).

Almost surely, 2100321431213 is an apocalyptic number.

It is an amenable number.

100321431213 is a deficient number, since it is larger than the sum of its proper divisors (47675490387).

100321431213 is a wasteful number, since it uses less digits than its factorization.

100321431213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100321431213 its reverse (312134123001), we get a palindrome (412455554214).

The spelling of 100321431213 in words is "one hundred billion, three hundred twenty-one million, four hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 19 29 57 73 87 219 551 641 1297 1387 1653 1923 2117 3891 4161 6351 12179 18589 24643 36537 37613 40223 46793 55767 73929 94681 112839 120669 140379 284043 353191 714647 831377 889067 1059573 1356997 1798939 2143941 2494131 2667201 2745749 4070991 5396817 8237247 15796163 24109933 25782943 47388489 52169231 60690521 72329799 77348829 156507693 182071563 458088727 1153119899 1374266181 1760025109 3459359697 5280075327 33440477071 100321431213