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10121213133 = 324012804437
BaseRepresentation
bin10010110110100010…
…10111010011001101
3222010100211220021200
421123101113103031
5131212012310013
64352152420113
7505545615003
oct113321272315
928110756250
1010121213133
114324185259
121b656a7639
13c53b4a615
146c02b6a73
153e3852e73
hex25b4574cd

10121213133 has 12 divisors (see below), whose sum is σ = 14655992988. Its totient is φ = 6730646400.

The previous prime is 10121213119. The next prime is 10121213149. The reversal of 10121213133 is 33131212101.

It can be written as a sum of positive squares in 2 ways, for example, as 9498061764 + 623151369 = 97458^2 + 24963^2 .

It is not a de Polignac number, because 10121213133 - 24 = 10121213117 is a prime.

It is a super-2 number, since 2×101212131332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121213173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398610 + ... + 1405827.

It is an arithmetic number, because the mean of its divisors is an integer number (1221332749).

Almost surely, 210121213133 is an apocalyptic number.

It is an amenable number.

10121213133 is a deficient number, since it is larger than the sum of its proper divisors (4534779855).

10121213133 is a wasteful number, since it uses less digits than its factorization.

10121213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804844 (or 2804841 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10121213133 its reverse (33131212101), we get a palindrome (43252425234).

The spelling of 10121213133 in words is "ten billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 401 1203 3609 2804437 8413311 25239933 1124579237 3373737711 10121213133