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31311123232120 = 23517531376341519
BaseRepresentation
bin1110001111010001100000…
…11000001011010101111000
311002212022111000100221122021
413013220300120023111320
513101000140021411440
6150332044220204224
76411103552106014
oct707506030132570
9132768430327567
1031311123232120
119a81a77870166
12361837b999674
13146181ab4a134
147a3675d23544
1539471a4d184a
hex1c7a3060b578

31311123232120 has 128 divisors (see below), whose sum is σ = 76556351404800. Its totient is φ = 11480887115776.

The previous prime is 31311123232111. The next prime is 31311123232121. The reversal of 31311123232120 is 2123232111313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311123232121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1766721 + ... + 8108239.

It is an arithmetic number, because the mean of its divisors is an integer number (598096495350).

Almost surely, 231311123232120 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 31311123232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38278175702400).

31311123232120 is an abundant number, since it is smaller than the sum of its proper divisors (45245228172680).

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

31311123232120 is a wasteful number, since it uses less digits than its factorization.

31311123232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341737 (or 6341733 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 31311123232120 its reverse (2123232111313), we get a palindrome (33434355343433).

The spelling of 31311123232120 in words is "thirty-one trillion, three hundred eleven billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 137 170 212 265 274 340 424 530 548 680 685 901 1060 1096 1370 1802 2120 2329 2740 3604 4505 4658 5480 7208 7261 9010 9316 11645 14522 18020 18632 23290 29044 36040 36305 46580 58088 72610 93160 123437 145220 246874 290440 493748 617185 987496 1234370 2468740 4937480 6341519 12683038 25366076 31707595 50732152 63415190 107805823 126830380 215611646 253660760 336100507 431223292 539029115 672201014 862446584 868788103 1078058230 1344402028 1680502535 1737576206 2156116460 2688804056 3361005070 3475152412 4312232920 4343940515 5713708619 6722010140 6950304824 8687881030 11427417238 13444020280 14769397751 17375762060 22854834476 28568543095 29538795502 34751524120 45709668952 46045769459 57137086190 59077591004 73846988755 92091538918 114274172380 118155182008 147693977510 184183077836 228548344760 230228847295 295387955020 368366155672 460457694590 590775910040 782778080803 920915389180 1565556161606 1841830778360 3131112323212 3913890404015 6262224646424 7827780808030 15655561616060 31311123232120