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10313202332121 = 3131789933718719
BaseRepresentation
bin1001011000010011101011…
…0000101111000111011001
31100111221011210200020112020
42112010322300233013121
52322432414244111441
633533453022005053
72113050524264103
oct226047260570731
940457153606466
1010313202332121
1133168939408a7
1211a6926716789
1359a6b924b770
14279239828573
1512d40b6bde66
hex9613ac2f1d9

10313202332121 has 64 divisors (see below), whose sum is σ = 15858523699200. Its totient is φ = 5905194172416.

The previous prime is 10313202332099. The next prime is 10313202332159. The reversal of 10313202332121 is 12123320231301.

10313202332121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10313202332121 - 25 = 10313202332089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10313202332091 and 10313202332100.

It is not an unprimeable number, because it can be changed into a prime (10313202332171) 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, 550939000 + ... + 550957718.

It is an arithmetic number, because the mean of its divisors is an integer number (247789432800).

Almost surely, 210313202332121 is an apocalyptic number.

It is an amenable number.

10313202332121 is a deficient number, since it is larger than the sum of its proper divisors (5545321367079).

10313202332121 is a wasteful number, since it uses less digits than its factorization.

10313202332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28178.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10313202332121 its reverse (12123320231301), we get a palindrome (22436522563422).

The spelling of 10313202332121 in words is "ten trillion, three hundred thirteen billion, two hundred two million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 13 17 39 51 89 221 267 663 1157 1513 3471 4539 9337 18719 19669 28011 56157 59007 121381 158729 243347 318223 364143 476187 730041 830993 954669 1665991 2063477 2492979 4136899 4997973 6190431 10802909 12410697 14126881 21657883 28321847 32408727 42380643 64973649 84965541 174779303 183649453 368184011 524337909 550948359 1104552033 2272130939 2971248151 6816392817 8913744453 15555357967 38626225963 46666073901 115878677889 202219653571 264441085439 606658960713 793323256317 3437734110707 10313202332121