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131231143234401 = 37291311867881057
BaseRepresentation
bin11101110101101010100001…
…101011010000101101100001
3122012122120112000012121220020
4131311222201223100231201
5114200042340132000101
61143034431022104053
736433065031425330
oct3565524153205541
9565576460177806
10131231143234401
11388a58a7192271
121287558441b029
13582c075042732
14245989a8c5d17
151028953434136
hex775aa1ad0b61

131231143234401 has 64 divisors (see below), whose sum is σ = 208557847111680. Its totient is φ = 71812125665280.

The previous prime is 131231143234361. The next prime is 131231143234427. The reversal of 131231143234401 is 104432341132131.

It is a happy number.

It is not a de Polignac number, because 131231143234401 - 217 = 131231143103329 is a prime.

It is a super-2 number, since 2×1312311432344012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131231143234441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148506865 + ... + 149387921.

It is an arithmetic number, because the mean of its divisors is an integer number (3258716361120).

Almost surely, 2131231143234401 is an apocalyptic number.

It is an amenable number.

131231143234401 is a deficient number, since it is larger than the sum of its proper divisors (77326703877279).

131231143234401 is a wasteful number, since it uses less digits than its factorization.

131231143234401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883094.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131231143234401 its reverse (104432341132131), we get a palindrome (235663484366532).

The spelling of 131231143234401 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, one hundred forty-three million, two hundred thirty-four thousand, four hundred one".

Divisors: 1 3 7 21 29 87 131 203 393 609 917 1867 2751 3799 5601 11397 13069 26593 39207 54143 79779 162429 244577 379001 733731 881057 1137003 1712039 2643171 5136117 6167399 7092733 18502197 21278199 25550653 49649131 76651959 115418467 148947393 178854571 346255401 536563713 807929269 1644933419 2423787807 3347135543 4934800257 10041406629 11514533933 23429948801 34543601799 47703069151 70289846403 143109207453 215486277889 333921484057 646458833667 1001764452171 1508403945223 4525211835669 6249102058781 18747306176343 43743714411467 131231143234401