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131122113010 = 2572267596149
BaseRepresentation
bin111101000011101111…
…1001010100111110010
3110112110010101111021221
41322013133022213302
54122014230104020
6140123041535254
712321220366600
oct1720737124762
9415403344257
10131122113010
1150677018259
12214b464452a
13c4984c8625
1464bc522870
1536266166aa
hex1e877ca9f2

131122113010 has 24 divisors (see below), whose sum is σ = 274553649900. Its totient is φ = 44956152864.

The previous prime is 131122112993. The next prime is 131122113019. The reversal of 131122113010 is 10311221131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 123418013481 + 7704099529 = 351309^2 + 87773^2 .

It is a super-2 number, since 2×1311221130102 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131122113019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133797585 + ... + 133798564.

Almost surely, 2131122113010 is an apocalyptic number.

131122113010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131122113010 is an abundant number, since it is smaller than the sum of its proper divisors (143431536890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131122113010 is a wasteful number, since it uses less digits than its factorization.

131122113010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267596170 (or 267596163 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131122113010 its reverse (10311221131), we get a palindrome (141433334141).

It can be divided in two parts, 1311221 and 13010, that added together give a palindrome (1324231).

The spelling of 131122113010 in words is "one hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 267596149 535192298 1337980745 1873173043 2675961490 3746346086 9365865215 13112211301 18731730430 26224422602 65561056505 131122113010