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31001345550 = 23252767146891
BaseRepresentation
bin11100110111110100…
…101111111000001110
32222000112111112020100
4130313310233320032
51001442321024200
622124122231530
72145146042430
oct346764577016
988015445210
1031001345550
11121694a683a
1260123555a6
132c00983866
141701426650
15c169c3d00
hex737d2fe0e

31001345550 has 144 divisors (see below), whose sum is σ = 96610280832. Its totient is φ = 6980212800.

The previous prime is 31001345527. The next prime is 31001345671. The reversal of 31001345550 is 5554310013.

31001345550 is a `hidden beast` number, since 3 + 100 + 1 + 3 + 4 + 5 + 550 = 666.

It is a super-2 number, since 2×310013455502 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137605 + ... + 284495.

It is an arithmetic number, because the mean of its divisors is an integer number (670904728).

Almost surely, 231001345550 is an apocalyptic number.

31001345550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31001345550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48305140416).

31001345550 is an abundant number, since it is smaller than the sum of its proper divisors (65608935282).

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

31001345550 is a wasteful number, since it uses less digits than its factorization.

31001345550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146983 (or 146975 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 31001345550 its reverse (5554310013), we get a palindrome (36555655563).

The spelling of 31001345550 in words is "thirty-one billion, one million, three hundred forty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 67 70 75 90 105 126 134 150 175 201 210 225 315 335 350 402 450 469 525 603 630 670 938 1005 1050 1206 1407 1575 1675 2010 2345 2814 3015 3150 3350 4221 4690 5025 6030 7035 8442 10050 11725 14070 15075 21105 23450 30150 35175 42210 70350 105525 146891 211050 293782 440673 734455 881346 1028237 1322019 1468910 2056474 2203365 2644038 3084711 3672275 4406730 5141185 6169422 6610095 7344550 9254133 9841697 10282370 11016825 13220190 15423555 18508266 19683394 22033650 25705925 29525091 30847110 33050475 46270665 49208485 51411850 59050182 66100950 68891879 77117775 88575273 92541330 98416970 137783758 147625455 154235550 177150546 206675637 231353325 246042425 295250910 344459395 413351274 442876365 462706650 492084850 620026911 688918790 738127275 885752730 1033378185 1240053822 1476254550 1722296975 2066756370 2214381825 3100134555 3444593950 4428763650 5166890925 6200269110 10333781850 15500672775 31001345550