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131742048810 = 23531157902281
BaseRepresentation
bin111101010110001110…
…0000010001000101010
3110121001022220111100010
41322230130002020222
54124301431030220
6140304345152350
712342455636601
oct1725434021052
9417038814303
10131742048810
1150964a52199
122164818b6b6
13c566a84348
14653a9b8a38
153660c711e0
hex1eac70222a

131742048810 has 64 divisors (see below), whose sum is σ = 328459521024. Its totient is φ = 33781363200.

The previous prime is 131742048797. The next prime is 131742048827. The reversal of 131742048810 is 18840247131.

It is a super-2 number, since 2×1317420488102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305131 + ... + 597150.

It is an arithmetic number, because the mean of its divisors is an integer number (5132180016).

Almost surely, 2131742048810 is an apocalyptic number.

131742048810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131742048810 is an abundant number, since it is smaller than the sum of its proper divisors (196717472214).

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

131742048810 is a wasteful number, since it uses less digits than its factorization.

131742048810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902479.

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 131742048810 in words is "one hundred thirty-one billion, seven hundred forty-two million, forty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 157 186 310 314 465 471 785 930 942 1570 2355 4710 4867 9734 14601 24335 29202 48670 73005 146010 902281 1804562 2706843 4511405 5413686 9022810 13534215 27068430 27970711 55941422 83912133 139853555 141658117 167824266 279707110 283316234 419560665 424974351 708290585 839121330 849948702 1416581170 2124871755 4249743510 4391401627 8782803254 13174204881 21957008135 26348409762 43914016270 65871024405 131742048810