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131202200042300 = 225223832903236749
BaseRepresentation
bin11101110101001111100100…
…100001101111101100111100
3122012112210210220111010102102
4131311033210201233230330
5114144104101202323200
61143013243021044232
736431021553361142
oct3565174441575474
9565483726433372
10131202200042300
11388945a45426a2
121286ba473b6678
1358294118b786a
142458312975592
151027d0c4ad6d5
hex7753e486fb3c

131202200042300 has 144 divisors (see below), whose sum is σ = 300771624384000. Its totient is φ = 49577000943360.

The previous prime is 131202200042297. The next prime is 131202200042317. The reversal of 131202200042300 is 3240002202131.

It is a super-2 number, since 2×1312022000423002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554064326 + ... + 554301074.

It is an arithmetic number, because the mean of its divisors is an integer number (2088691836000).

Almost surely, 2131202200042300 is an apocalyptic number.

131202200042300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131202200042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150385812192000).

131202200042300 is an abundant number, since it is smaller than the sum of its proper divisors (169569424341700).

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

131202200042300 is a wasteful number, since it uses less digits than its factorization.

131202200042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239772 (or 239765 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131202200042300 its reverse (3240002202131), we get a palindrome (134442202244431).

The spelling of 131202200042300 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 83 92 100 115 166 230 332 415 460 575 830 1150 1660 1909 2075 2300 2903 3818 4150 5806 7636 8300 9545 11612 14515 19090 29030 38180 47725 58060 66769 72575 95450 133538 145150 190900 236749 240949 267076 290300 333845 473498 481898 667690 946996 963796 1183745 1204745 1335380 1669225 2367490 2409490 3338450 4734980 4818980 5445227 5541827 5918725 6023725 6676900 10890454 11083654 11837450 12047450 19650167 21780908 22167308 23674900 24094900 27226135 27709135 39300334 54452270 55418270 78600668 98250835 108904540 110836540 136130675 138545675 196501670 272261350 277091350 393003340 451953841 491254175 544522700 554182700 687282347 903907682 982508350 1374564694 1807815364 1965016700 2259769205 2749129388 3436411735 4519538410 6872823470 9039076820 11298846025 13745646940 15807493981 17182058675 22597692050 31614987962 34364117350 45195384100 57044434801 63229975924 68728234700 79037469905 114088869602 158074939810 228177739204 285222174005 316149879620 395187349525 570444348010 790374699050 1140888696020 1312022000423 1426110870025 1580749398100 2624044000846 2852221740050 5248088001692 5704443480100 6560110002115 13120220004230 26240440008460 32800550010575 65601100021150 131202200042300