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131221121122131 = 3363132993365119
BaseRepresentation
bin11101110101100001001100…
…010011111011111101010011
3122012121121122112211120102220
4131311201030103323331103
5114144411324001402011
61143030052325312123
736432261465036165
oct3565411423737523
9565547575746386
10131221121122131
11388a1623a44a57
1212873647b65643
13582b1388b25a1
1424591c9848935
151028568659506
hex77584c4fbf53

131221121122131 has 16 divisors (see below), whose sum is σ = 175015464099840. Its totient is φ = 87453764386560.

The previous prime is 131221121122129. The next prime is 131221121122153.

131221121122131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131221121122131 - 21 = 131221121122129 is a prime.

It is a super-2 number, since 2×1312211211221312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131221121142131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359210190 + ... + 359575308.

It is an arithmetic number, because the mean of its divisors is an integer number (10938466506240).

Almost surely, 2131221121122131 is an apocalyptic number.

131221121122131 is a deficient number, since it is larger than the sum of its proper divisors (43794342977709).

131221121122131 is a wasteful number, since it uses less digits than its factorization.

131221121122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401746.

The product of its digits is 288, while the sum is 24.

The spelling of 131221121122131 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 3631 10893 32993 98979 365119 1095357 119797583 359392749 1325747089 3977241267 12046371167 36139113501 43740373707377 131221121122131