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31231322310132 = 223577043651731
BaseRepresentation
bin1110001100111100110111…
…10111110100010111110100
311002120200111112212002100000
413012132123313310113310
513043143222002411012
6150231245453351300
76402250165341540
oct706363367642764
9132520445762300
1031231322310132
119a5114727736a
123604a0a798530
131457141038a79
1479d8657aaa20
153925e9738ddc
hex1c679bdf45f4

31231322310132 has 144 divisors (see below), whose sum is σ = 93578871439872. Its totient is φ = 8921954291040.

The previous prime is 31231322310113. The next prime is 31231322310161. The reversal of 31231322310132 is 23101322313213.

31231322310132 is a `hidden beast` number, since 3 + 1 + 2 + 313 + 2 + 2 + 310 + 1 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31231322310096 and 31231322310105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47594707 + ... + 48246437.

It is an arithmetic number, because the mean of its divisors is an integer number (649853273888).

Almost surely, 231231322310132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31231322310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46789435719936).

31231322310132 is an abundant number, since it is smaller than the sum of its proper divisors (62347549129740).

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

31231322310132 is a wasteful number, since it uses less digits than its factorization.

31231322310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658800 (or 658786 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31231322310132 its reverse (23101322313213), we get a palindrome (54332644623345).

The spelling of 31231322310132 in words is "thirty-one trillion, two hundred thirty-one billion, three hundred twenty-two million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 7043 14086 21129 28172 42258 49301 63387 84516 98602 126774 147903 190161 197204 253548 295806 380322 443709 570483 591612 651731 760644 887418 1140966 1303462 1331127 1711449 1774836 1955193 2281932 2606924 2662254 3422898 3910386 3993381 4562117 5324508 5865579 6845796 7820772 7986762 9124234 11731158 11980143 13686351 15973524 17596737 18248468 23462316 23960286 27372702 35193474 41059053 47920572 52790211 54745404 70386948 82118106 105580422 123177159 158370633 164236212 211160844 246354318 316741266 369531477 492708636 633482532 739062954 1108594431 1478125908 2217188862 4434377724 4590141433 9180282866 13770424299 18360565732 27540848598 32130990031 41311272897 55081697196 64261980062 82622545794 96392970093 123933818691 128523960124 165245091588 192785940186 247867637382 289178910279 371801456073 385571880372 495735274764 578357820558 743602912146 867536730837 1115404368219 1156715641116 1487205824292 1735073461674 2230808736438 2602610192511 3470146923348 4461617472876 5205220385022 7807830577533 10410440770044 15615661155066 31231322310132