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132114102621029 = 17157205092413549
BaseRepresentation
bin11110000010100000110110…
…001010000001001101100101
3122022202222120222001212010222
4132002200312022001031211
5114304024140232333104
61144552214134054125
736553633423403324
oct3602406612011545
9568688528055128
10132114102621029
11391063047a4011
12129987217aa345
1358943ca288659
14248a4dca5a0bb
1510418ce9151be
hex782836281365

132114102621029 has 16 divisors (see below), whose sum is σ = 140783433462000. Its totient is φ = 123544617790464.

The previous prime is 132114102621019. The next prime is 132114102621047. The reversal of 132114102621029 is 920126201411231.

It can be written as a sum of positive squares in 8 ways, for example, as 30632051752129 + 101482050868900 = 5534623^2 + 10073830^2 .

It is a cyclic number.

It is not a de Polignac number, because 132114102621029 - 212 = 132114102616933 is a prime.

It is a super-2 number, since 2×1321141026210292 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132114102621029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114102621019) 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 15 ways as a sum of consecutive naturals, for example, 53531747 + ... + 55945295.

It is an arithmetic number, because the mean of its divisors is an integer number (8798964591375).

Almost surely, 2132114102621029 is an apocalyptic number.

It is an amenable number.

132114102621029 is a deficient number, since it is larger than the sum of its proper divisors (8669330840971).

132114102621029 is a wasteful number, since it uses less digits than its factorization.

132114102621029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434232.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 132114102621029 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred two million, six hundred twenty-one thousand, twenty-nine".

Divisors: 1 17 157 2669 20509 348653 2413549 3219913 41030333 54738521 378927193 6441762281 49499476441 841491099497 7771417801237 132114102621029