Search a number
-
+
131141100032340 = 223579185411492201
BaseRepresentation
bin11101110100010110101010…
…101011101101000101010100
3122012022222002202001000200120
4131310112222223231011110
5114142103433102013330
61142525220055511540
736423426466016256
oct3564265253550524
9565288082030616
10131141100032340
11388706a01438a2
12128600350885b0
1358237252a5308
142455397d7dcd6
1510264333c1c10
hex7745aaaed154

131141100032340 has 96 divisors (see below), whose sum is σ = 371863423464960. Its totient is φ = 34526404224000.

The previous prime is 131141100032323. The next prime is 131141100032353. The reversal of 131141100032340 is 43230001141131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131141100032340.

It is a congruent number.

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, 87138240 + ... + 88630440.

It is an arithmetic number, because the mean of its divisors is an integer number (3873577327760).

Almost surely, 2131141100032340 is an apocalyptic number.

131141100032340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141100032340 is an abundant number, since it is smaller than the sum of its proper divisors (240722323432620).

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

131141100032340 is a wasteful number, since it uses less digits than its factorization.

131141100032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510833 (or 1510831 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131141100032340 its reverse (43230001141131), we get a palindrome (174371101173471).

The spelling of 131141100032340 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 18541 37082 55623 74164 92705 111246 185410 222492 278115 370820 556230 1112460 1464739 1492201 2929478 2984402 4394217 4476603 5858956 5968804 7323695 7461005 8788434 8953206 14647390 14922010 17576868 17906412 21971085 22383015 29294780 29844020 43942170 44766030 87884340 89532060 117883879 235767758 353651637 471535516 589419395 707303274 1178838790 1414606548 1768258185 2357677580 3536516370 7073032740 27666898741 55333797482 83000696223 110667594964 138334493705 166001392446 276668987410 332002784892 415003481115 553337974820 830006962230 1660013924460 2185685000539 4371370001078 6557055001617 8742740002156 10928425002695 13114110003234 21856850005390 26228220006468 32785275008085 43713700010780 65570550016170 131141100032340