Search a number
-
+
31133322102120 = 23357172180204629
BaseRepresentation
bin1110001010000110010101…
…00110101100010101101000
311002020022112202011200222020
413011003022212230111220
513040042020424231440
6150114241205024440
76362210513330430
oct705031246542550
9132208482150866
1031133322102120
119a13627756617
1235a9a1a6b5120
13144ab2392cac4
14798c0a18d2c0
1538ecb0d703d0
hex1c50ca9ac568

31133322102120 has 128 divisors (see below), whose sum is σ = 113021808019200. Its totient is φ = 6697588617216.

The previous prime is 31133322102079. The next prime is 31133322102143. The reversal of 31133322102120 is 2120122333113.

It is a super-2 number, since 2×311333221021202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090088035 + ... + 1090116594.

It is an arithmetic number, because the mean of its divisors is an integer number (882982875150).

Almost surely, 231133322102120 is an apocalyptic number.

31133322102120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31133322102120 is an abundant number, since it is smaller than the sum of its proper divisors (81888485917080).

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

31133322102120 is a wasteful number, since it uses less digits than its factorization.

31133322102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180204667 (or 2180204663 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31133322102120 its reverse (2120122333113), we get a palindrome (33253444435233).

The spelling of 31133322102120 in words is "thirty-one trillion, one hundred thirty-three billion, three hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 2180204629 4360409258 6540613887 8720818516 10901023145 13081227774 15261432403 17441637032 21802046290 26162455548 30522864806 32703069435 37063478693 43604092580 45784297209 52324911096 61045729612 65406138870 74126957386 76307162015 87208185160 91568594418 111190436079 122091459224 130812277740 148253914772 152614324030 183137188836 185317393465 222380872158 228921486045 259444350851 261624555480 296507829544 305228648060 366274377672 370634786930 444761744316 457842972090 518888701702 555952180395 610457296120 741269573860 778333052553 889523488632 915685944180 1037777403404 1111904360790 1297221754255 1482539147720 1556666105106 1831371888360 2075554806808 2223808721580 2594443508510 3113332210212 3891665262765 4447617443160 5188887017020 6226664420424 7783330525530 10377774034040 15566661051060 31133322102120