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31102255314 = 23313197132843
BaseRepresentation
bin11100111101110101…
…101100000011010010
32222021120101021102000
4130331311230003102
51002144134132224
622142125134430
72150512544124
oct347565540322
988246337360
1031102255314
1112210459839
1260400ba416
132c18855490
1417109b3214
15c207a80c9
hex73dd6c0d2

31102255314 has 128 divisors (see below), whose sum is σ = 79456204800. Its totient is φ = 8938278720.

The previous prime is 31102255277. The next prime is 31102255321. The reversal of 31102255314 is 41355220113.

31102255314 is a `hidden beast` number, since 3 + 1 + 102 + 2 + 553 + 1 + 4 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 930577 + ... + 963419.

It is an arithmetic number, because the mean of its divisors is an integer number (620751600).

Almost surely, 231102255314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31102255314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39728102400).

31102255314 is an abundant number, since it is smaller than the sum of its proper divisors (48353949486).

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

31102255314 is a wasteful number, since it uses less digits than its factorization.

31102255314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32957 (or 32951 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 31102255314 its reverse (41355220113), we get a palindrome (72457475427).

The spelling of 31102255314 in words is "thirty-one billion, one hundred two million, two hundred fifty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 71 78 114 117 142 171 213 234 247 342 351 426 494 513 639 702 741 923 1026 1278 1349 1482 1846 1917 2223 2698 2769 3834 4047 4446 5538 6669 8094 8307 12141 13338 16614 17537 24282 24921 32843 35074 36423 49842 52611 65686 72846 98529 105222 157833 197058 295587 315666 426959 473499 591174 624017 853918 886761 946998 1248034 1280877 1773522 1872051 2331853 2561754 3744102 3842631 4663706 5616153 6995559 7685262 8112221 11232306 11527893 13991118 16224442 16848459 20986677 23055786 24336663 30314089 33696918 41973354 44305207 48673326 60628178 62960031 73009989 88610414 90942267 125920062 132915621 146019978 181884534 219029967 265831242 272826801 398746863 438059934 545653602 575967691 797493726 818480403 1151935382 1196240589 1636960806 1727903073 2392481178 3455806146 5183709219 10367418438 15551127657 31102255314