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131063001642 = 23319461277097
BaseRepresentation
bin111101000001111110…
…1101011001000101010
3110112022000011022202000
41322003331223020222
54121404112023032
6140113130551430
712316602063336
oct1720375531052
9415260138660
10131063001642
1150646713a91
1221498898576
13c48919cca1
1464b47367c6
15362133be7c
hex1e83f6b22a

131063001642 has 64 divisors (see below), whose sum is σ = 307246262400. Its totient is φ = 41298387840.

The previous prime is 131063001611. The next prime is 131063001691. The reversal of 131063001642 is 246100360131.

131063001642 is a `hidden beast` number, since 1 + 3 + 10 + 6 + 3 + 0 + 0 + 1 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 334438 + ... + 611534.

It is an arithmetic number, because the mean of its divisors is an integer number (4800722850).

Almost surely, 2131063001642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131063001642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153623131200).

131063001642 is an abundant number, since it is smaller than the sum of its proper divisors (176183260758).

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

131063001642 is a wasteful number, since it uses less digits than its factorization.

131063001642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277588 (or 277582 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131063001642 its reverse (246100360131), we get a palindrome (377163361773).

The spelling of 131063001642 in words is "one hundred thirty-one billion, sixty-three million, one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 461 513 922 1026 1383 2766 4149 8298 8759 12447 17518 24894 26277 52554 78831 157662 236493 277097 472986 554194 831291 1662582 2493873 4987746 5264843 7481619 10529686 14963238 15794529 31589058 47383587 94767174 127741717 142150761 255483434 284301522 383225151 766450302 1149675453 2299350906 2427092623 3449026359 4854185246 6898052718 7281277869 14562555738 21843833607 43687667214 65531500821 131063001642