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131001414312242 = 2292778153953337
BaseRepresentation
bin11101110010010100100100…
…110000111110000100110010
3122011211121112210201012220202
4131302110210300332010302
5114132311344030442432
61142341115142035202
736410353112003015
oct3562244460760462
9564747483635822
10131001414312242
113881742a1a7911
1212838b50718b02
1358134c3870a76
14244c7063a137c
1510229aa080462
hex772524c3e132

131001414312242 has 16 divisors (see below), whose sum is σ = 204011912516760. Its totient is φ = 63013751380608.

The previous prime is 131001414312239. The next prime is 131001414312247. The reversal of 131001414312242 is 242213414100131.

It can be written as a sum of positive squares in 4 ways, for example, as 125631391348681 + 5370022963561 = 11208541^2 + 2317331^2 .

It is a super-2 number, since 2×1310014143122422 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (131001414312247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4076960603 + ... + 4076992734.

Almost surely, 2131001414312242 is an apocalyptic number.

131001414312242 is a deficient number, since it is larger than the sum of its proper divisors (73010498204518).

131001414312242 is a wasteful number, since it uses less digits than its factorization.

131001414312242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153953645.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 131001414312242 its reverse (242213414100131), we get a palindrome (373214828412373).

The spelling of 131001414312242 in words is "one hundred thirty-one trillion, one billion, four hundred fourteen million, three hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 29 58 277 554 8033 16066 8153953337 16307906674 236464646773 472929293546 2258645074349 4517290148698 65500707156121 131001414312242