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21312101033031 = 31713745720113319
BaseRepresentation
bin1001101100010000111000…
…01101100010010001000111
32210110102020222001010111110
410312020130031202101013
510243134140331024111
6113154351040540103
74326514505544054
oct466103415422107
983412228033443
1021312101033031
116877458478476
122482517621633
13bb7951458743
14539722a0402b
1526e59b3375a6
hex13621c362447

21312101033031 has 64 divisors (see below), whose sum is σ = 30397867729920. Its totient is φ = 13235067740160.

The previous prime is 21312101033011. The next prime is 21312101033033. The reversal of 21312101033031 is 13033010121312.

It is a happy number.

It is not a de Polignac number, because 21312101033031 - 26 = 21312101032967 is a prime.

It is a super-2 number, since 2×213121010330312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21312101032989 and 21312101033007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312101033033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6421239990 + ... + 6421243308.

It is an arithmetic number, because the mean of its divisors is an integer number (474966683280).

Almost surely, 221312101033031 is an apocalyptic number.

21312101033031 is a deficient number, since it is larger than the sum of its proper divisors (9085766696889).

21312101033031 is a wasteful number, since it uses less digits than its factorization.

21312101033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 21312101033031 its reverse (13033010121312), we get a palindrome (34345111154343).

The spelling of 21312101033031 in words is "twenty-one trillion, three hundred twelve billion, one hundred one million, thirty-three thousand, thirty-one".

Divisors: 1 3 17 51 137 411 457 1371 2011 2329 3319 6033 6987 7769 9957 23307 34187 56423 62609 102561 169269 187827 275507 454703 826521 919027 1064353 1364109 1516783 2757081 3193059 4550349 4683619 6674509 7729951 14050857 15623459 20023527 23189853 25785311 46870377 77355933 113466653 125906699 207799271 340399959 377720097 623397813 914407733 2140413883 2743223199 3050250613 3532587607 6421241649 9150751839 10597762821 15544931461 46634794383 51854260421 155562781263 417884333981 1253653001943 7104033677677 21312101033031