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131367267066 = 237217251104717
BaseRepresentation
bin111101001011000011…
…0010110101011111010
3110120002012200121102210
41322112012112223322
54123020010021231
6140203240235550
712330255226500
oct1722606265372
9416065617383
10131367267066
1150792441112
122156276bbb6
13c5072323b9
146502cda670
15363cddea46
hex1e96196afa

131367267066 has 96 divisors (see below), whose sum is σ = 324900580032. Its totient is φ = 35184576000.

The previous prime is 131367267041. The next prime is 131367267067. The reversal of 131367267066 is 660762763131.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131367267067) 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, 1202140 + ... + 1306856.

It is an arithmetic number, because the mean of its divisors is an integer number (3384381042).

Almost surely, 2131367267066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131367267066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162450290016).

131367267066 is an abundant number, since it is smaller than the sum of its proper divisors (193533312966).

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

131367267066 is a wasteful number, since it uses less digits than its factorization.

131367267066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105004 (or 104997 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 131367267066 in words is "one hundred thirty-one billion, three hundred sixty-seven million, two hundred sixty-seven thousand, sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 251 294 357 502 714 753 833 1506 1666 1757 2499 3514 4267 4998 5271 8534 10542 12299 12801 24598 25602 29869 36897 59738 73794 89607 104717 179214 209083 209434 314151 418166 627249 628302 733019 1254498 1466038 1780189 2199057 3560378 4398114 5131133 5340567 10262266 10681134 12461323 15393399 24922646 26283967 30786798 37383969 52567934 74767938 78851901 87229261 157703802 174458522 183987769 261687783 367975538 446827439 523375566 551963307 893654878 1103926614 1287914383 1340482317 2575828766 2680964634 3127792073 3863743149 6255584146 7727486298 9383376219 18766752438 21894544511 43789089022 65683633533 131367267066