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3131343543420 = 22325591012919341
BaseRepresentation
bin101101100100010010100…
…111101001110001111100
3102002100112201022121011100
4231210102213221301330
5402300442421342140
610354304103253100
7442142416645461
oct55442247516174
912070481277140
103131343543420
11aa7aa4883974
12426a6074a190
13199390b77031
14ab7b49b9668
15566c04e9530
hex2d9129e9c7c

3131343543420 has 144 divisors (see below), whose sum is σ = 9755039679840. Its totient is φ = 812744256000.

The previous prime is 3131343543359. The next prime is 3131343543421. The reversal of 3131343543420 is 243453431313.

3131343543420 is a `hidden beast` number, since 3 + 1 + 31 + 3 + 43 + 543 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131343543421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387051 + ... + 2532290.

It is an arithmetic number, because the mean of its divisors is an integer number (67743331110).

Almost surely, 23131343543420 is an apocalyptic number.

3131343543420 is a gapful number since it is divisible by the number (30) 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 3131343543420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877519839920).

3131343543420 is an abundant number, since it is smaller than the sum of its proper divisors (6623696136420).

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

3131343543420 is a wasteful number, since it uses less digits than its factorization.

3131343543420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919516 (or 2919511 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 3131343543420 its reverse (243453431313), we get a palindrome (3374796974733).

It can be divided in two parts, 3131343 and 543420, that added together give a palindrome (3674763).

The spelling of 3131343543420 in words is "three trillion, one hundred thirty-one billion, three hundred forty-three million, five hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 101 118 177 180 202 236 295 303 354 404 505 531 590 606 708 885 909 1010 1062 1180 1212 1515 1770 1818 2020 2124 2655 3030 3540 3636 4545 5310 5959 6060 9090 10620 11918 17877 18180 23836 29795 35754 53631 59590 71508 89385 107262 119180 178770 214524 268155 357540 536310 1072620 2919341 5838682 8758023 11677364 14596705 17516046 26274069 29193410 35032092 43790115 52548138 58386820 87580230 105096276 131370345 172241119 175160460 262740690 294853441 344482238 516723357 525481380 589706882 688964476 861205595 884560323 1033446714 1179413764 1474267205 1550170071 1722411190 1769120646 2066893428 2583616785 2653680969 2948534410 3100340142 3444822380 3538241292 4422801615 5167233570 5307361938 5897068820 6200680284 7750850355 8845603230 10334467140 10614723876 13268404845 15501700710 17396353019 17691206460 26536809690 31003401420 34792706038 52189059057 53073619380 69585412076 86981765095 104378118114 156567177171 173963530190 208756236228 260945295285 313134354342 347927060380 521890590570 626268708684 782835885855 1043781181140 1565671771710 3131343543420