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131042222442 = 23317493128949
BaseRepresentation
bin111101000001010111…
…0011010000101101010
3110112020120001122001000
41322002232122011222
54121333302104232
6140111105335430
712316230340515
oct1720256320552
9415216048030
10131042222442
1150635a1129a
1221491937576
13c484aa5cc1
1464b1a87d7c
15361e5d527c
hex1e82b9a16a

131042222442 has 64 divisors (see below), whose sum is σ = 308407824000. Its totient is φ = 41101528320.

The previous prime is 131042222393. The next prime is 131042222449. The reversal of 131042222442 is 244222240131.

It is a happy number.

131042222442 is a `hidden beast` number, since 1 + 3 + 10 + 422 + 224 + 4 + 2 = 666.

It is a super-3 number, since 3×1310422224423 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131042222449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4512184 + ... + 4541132.

It is an arithmetic number, because the mean of its divisors is an integer number (4818872250).

Almost surely, 2131042222442 is an apocalyptic number.

131042222442 is an abundant number, since it is smaller than the sum of its proper divisors (177365601558).

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

131042222442 is a wasteful number, since it uses less digits than its factorization.

131042222442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33908 (or 33902 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 131042222442 its reverse (244222240131), we get a palindrome (375264462573).

The spelling of 131042222442 in words is "one hundred thirty-one billion, forty-two million, two hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 4931 9862 14793 28949 29586 44379 57898 83827 86847 88758 133137 167654 173694 251481 260541 266274 492133 502962 521082 754443 781623 984266 1476399 1508886 1563246 2263329 2952798 4429197 4526658 8858394 13287591 26575182 142747519 285495038 428242557 856485114 1284727671 2426707823 2569455342 3854183013 4853415646 7280123469 7708366026 14560246938 21840370407 43680740814 65521111221 131042222442