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31321220112210 = 23574431319255253
BaseRepresentation
bin1110001111100100010100…
…01100101101111101010010
311002220021112200102121021010
413013302022030231331102
513101131324322042320
6150340434143311350
76411612014140140
oct707621214557522
9132807480377233
1031321220112210
119a86289235666
12361a3192ab556
131462769927cb2
147a3d52ca4590
15394b0bb29ae0
hex1c7c8a32df52

31321220112210 has 128 divisors (see below), whose sum is σ = 86169176248320. Its totient is φ = 7137532037376.

The previous prime is 31321220112191. The next prime is 31321220112223. The reversal of 31321220112210 is 1221102212313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122578944 + ... + 122834196.

It is an arithmetic number, because the mean of its divisors is an integer number (673196689440).

Almost surely, 231321220112210 is an apocalyptic number.

31321220112210 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 31321220112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43084588124160).

31321220112210 is an abundant number, since it is smaller than the sum of its proper divisors (54847956136110).

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

31321220112210 is a wasteful number, since it uses less digits than its factorization.

31321220112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257032.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31321220112210 its reverse (1221102212313), we get a palindrome (32542322324523).

The spelling of 31321220112210 in words is "thirty-one trillion, three hundred twenty-one billion, two hundred twenty million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 443 886 1319 1329 2215 2638 2658 3101 3957 4430 6202 6595 6645 7914 9233 9303 13190 13290 15505 18466 18606 19785 27699 31010 39570 46165 46515 55398 92330 93030 138495 255253 276990 510506 584317 765759 1168634 1276265 1531518 1752951 1786771 2552530 2921585 3505902 3573542 3828795 4090219 5360313 5843170 7657590 8180438 8764755 8933855 10720626 12270657 17529510 17867710 20451095 24541314 26801565 40902190 53603130 61353285 113077079 122706570 226154158 336678707 339231237 565385395 673357414 678462474 791539553 1010036121 1130770790 1583079106 1683393535 1696156185 2020072242 2356750949 2374618659 3366787070 3392312370 3957697765 4713501898 4749237318 5050180605 7070252847 7915395530 10100361210 11783754745 11873093295 14140505694 23567509490 23746186590 35351264235 70702528470 149148667201 298297334402 447446001603 745743336005 894892003206 1044040670407 1491486672010 2088081340814 2237230008015 3132122011221 4474460016030 5220203352035 6264244022442 10440406704070 15660610056105 31321220112210