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2032130131020 = 22325114192449471
BaseRepresentation
bin11101100100100100011…
…001010000010001001100
321012021021122100121202200
4131210210121100101030
5231243300303143040
64153314145121500
7266550036053313
oct35444431202114
97167248317680
102032130131020
11713904532880
12289a10329290
13119824036b12
14704d9b8927a
1537cd8b21630
hex1d92465044c

2032130131020 has 144 divisors (see below), whose sum is σ = 6740555028480. Its totient is φ = 491461660800.

The previous prime is 2032130131019. The next prime is 2032130131121. The reversal of 2032130131020 is 201310312302.

2032130131020 is a `hidden beast` number, since 2 + 0 + 32 + 1 + 301 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2032130130984 and 2032130131002.

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, 395116 + ... + 2054355.

It is an arithmetic number, because the mean of its divisors is an integer number (46809409920).

Almost surely, 22032130131020 is an apocalyptic number.

2032130131020 is a gapful number since it is divisible by the number (20) 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 2032130131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370277514240).

2032130131020 is an abundant number, since it is smaller than the sum of its proper divisors (4708424897460).

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

2032130131020 is a wasteful number, since it uses less digits than its factorization.

2032130131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449916 (or 2449911 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2032130131020 its reverse (201310312302), we get a palindrome (2233440443322).

The spelling of 2032130131020 in words is "two trillion, thirty-two billion, one hundred thirty million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 419 495 660 838 990 1257 1676 1980 2095 2514 3771 4190 4609 5028 6285 7542 8380 9218 12570 13827 15084 18436 18855 23045 25140 27654 37710 41481 46090 55308 69135 75420 82962 92180 138270 165924 207405 276540 414810 829620 2449471 4898942 7348413 9797884 12247355 14696826 22045239 24494710 26944181 29393652 36742065 44090478 48989420 53888362 73484130 80832543 88180956 107776724 110226195 134720905 146968260 161665086 220452390 242497629 269441810 323330172 404162715 440904780 484995258 538883620 808325430 969990516 1026328349 1212488145 1616650860 2052656698 2424976290 3078985047 4105313396 4849952580 5131641745 6157970094 9236955141 10263283490 11289611839 12315940188 15394925235 18473910282 20526566980 22579223678 30789850470 33868835517 36947820564 45158447356 46184775705 56448059195 61579700940 67737671034 92369551410 101606506551 112896118390 135475342068 169344177585 184739102820 203213013102 225792236780 338688355170 406426026204 508032532755 677376710340 1016065065510 2032130131020