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132200113130101 = 734574108196461
BaseRepresentation
bin11110000011110000111100…
…110010000100101001110101
3122100002012121012000102120001
4132003300330302010221311
5114311431312430130401
61145055521001511301
736563100020563102
oct3603607462045165
9570065535012501
10132200113130101
1139139831459565
12129b13264a2531
13589c5566c86c3
14249073bb7baa9
151043c658e5601
hex783c3cc84a75

132200113130101 has 16 divisors (see below), whose sum is σ = 134308976052528. Its totient is φ = 130099321497600.

The previous prime is 132200113130087. The next prime is 132200113130147. The reversal of 132200113130101 is 101031311002231.

It can be written as a sum of positive squares in 8 ways, for example, as 33766907464900 + 98433205665201 = 5810930^2 + 9921351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132200113130101 is a prime.

It is a super-2 number, since 2×1322001131301012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200113130161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1370455011 + ... + 1370551471.

It is an arithmetic number, because the mean of its divisors is an integer number (8394311003283).

Almost surely, 2132200113130101 is an apocalyptic number.

It is an amenable number.

132200113130101 is a deficient number, since it is larger than the sum of its proper divisors (2108862922427).

132200113130101 is an equidigital number, since it uses as much as digits as its factorization.

132200113130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138072.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 132200113130101 its reverse (101031311002231), we get a palindrome (233231424132332).

The spelling of 132200113130101 in words is "one hundred thirty-two trillion, two hundred billion, one hundred thirteen million, one hundred thirty thousand, one hundred one".

Divisors: 1 73 457 33361 41081 96461 2998913 7041653 18774017 44082677 1370503241 3218035421 3962714341 289278146893 1810960453837 132200113130101