Search a number
-
+
131141340213420 = 22354925344376769
BaseRepresentation
bin11101110100010110111000…
…111111111011000010101100
3122012022222201110222111012010
4131310112320333323002230
5114142104431043312140
61142525255555441220
736423435443354535
oct3564267077730254
9565288643874163
10131141340213420
1138870803780459
12128600a15b6210
135823762c8a6b4
1424553bbc2168c
151026449516880
hex7745b8ffb0ac

131141340213420 has 48 divisors (see below), whose sum is σ = 367203216169440. Its totient is φ = 34970313240576.

The previous prime is 131141340213379. The next prime is 131141340213463. The reversal of 131141340213420 is 24312043141131.

It is a super-2 number, since 2×1311413402134202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19233205 + ... + 25143564.

It is an arithmetic number, because the mean of its divisors is an integer number (7650067003530).

Almost surely, 2131141340213420 is an apocalyptic number.

131141340213420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141340213420 is an abundant number, since it is smaller than the sum of its proper divisors (236061875956020).

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

131141340213420 is a wasteful number, since it uses less digits than its factorization.

131141340213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44426034 (or 44426032 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131141340213420 its reverse (24312043141131), we get a palindrome (155453383354551).

The spelling of 131141340213420 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 49253 98506 147759 197012 246265 295518 492530 591036 738795 985060 1477590 2955180 44376769 88753538 133130307 177507076 221883845 266260614 443767690 532521228 665651535 887535380 1331303070 2662606140 2185689003557 4371378007114 6557067010671 8742756014228 10928445017785 13114134021342 21856890035570 26228268042684 32785335053355 43713780071140 65570670106710 131141340213420