Search a number
-
+
22130312102129 = 7111623117707267
BaseRepresentation
bin1010000100000100111010…
…11001000100000011110001
32220100122012111112000212202
411002002131121010003301
510400040334344232004
6115022305223432545
74442601523100030
oct502023531040361
986318174460782
1022130312102129
11706245a2779a0
1225950048b5755
13c46b5829703a
1456718181a717
152859d82c6b1e
hex14209d6440f1

22130312102129 has 16 divisors (see below), whose sum is σ = 27592739920896. Its totient is φ = 17243335630800.

The previous prime is 22130312102117. The next prime is 22130312102141. The reversal of 22130312102129 is 92120121303122.

It is an interprime number because it is at equal distance from previous prime (22130312102117) and next prime (22130312102141).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22130312102129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22130312102149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7603847 + ... + 10103420.

It is an arithmetic number, because the mean of its divisors is an integer number (1724546245056).

Almost surely, 222130312102129 is an apocalyptic number.

It is an amenable number.

22130312102129 is a deficient number, since it is larger than the sum of its proper divisors (5462427818767).

22130312102129 is a wasteful number, since it uses less digits than its factorization.

22130312102129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17723516.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 22130312102129 in words is "twenty-two trillion, one hundred thirty billion, three hundred twelve million, one hundred two thousand, one hundred twenty-nine".

Divisors: 1 7 11 77 16231 113617 178541 1249787 17707267 123950869 194779937 1363459559 287406650677 2011846554739 3161473157447 22130312102129