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31120221120 = 2635148321859
BaseRepresentation
bin11100111110111010…
…001110001111000000
32222022211012000212020
4130332322032033000
51002213234033440
622144010201440
72151121341432
oct347672161700
988284160766
1031120221120
111221a60a80a
126046123280
132c1c4a5a31
14171312c652
15c221563d0
hex73ee8e3c0

31120221120 has 112 divisors (see below), whose sum is σ = 98877851520. Its totient is φ = 8292750336.

The previous prime is 31120221089. The next prime is 31120221149. The reversal of 31120221120 is 2112202113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31120221120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1412751 + ... + 1434609.

It is an arithmetic number, because the mean of its divisors is an integer number (882837960).

Almost surely, 231120221120 is an apocalyptic number.

31120221120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31120221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49438925760).

31120221120 is an abundant number, since it is smaller than the sum of its proper divisors (67757630400).

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

31120221120 is a wasteful number, since it uses less digits than its factorization.

31120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23362 (or 23352 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31120221120 its reverse (2112202113), we get a palindrome (33232423233).

The spelling of 31120221120 in words is "thirty-one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1483 2966 4449 5932 7415 8898 11864 14830 17796 21859 22245 23728 29660 35592 43718 44490 47456 59320 65577 71184 87436 88980 94912 109295 118640 131154 142368 174872 177960 218590 237280 262308 284736 327885 349744 355920 437180 474560 524616 655770 699488 711840 874360 1049232 1311540 1398976 1423680 1748720 2098464 2623080 3497440 4196928 5246160 6994880 10492320 20984640 32416897 64833794 97250691 129667588 162084485 194501382 259335176 324168970 389002764 486253455 518670352 648337940 778005528 972506910 1037340704 1296675880 1556011056 1945013820 2074681408 2593351760 3112022112 3890027640 5186703520 6224044224 7780055280 10373407040 15560110560 31120221120