Search a number
-
+
31154221120 = 2651133726263
BaseRepresentation
bin11101000000111011…
…111011000001000000
32222102012011102002111
4131000323323001000
51002300440033440
622151223025104
72152013340001
oct350073730100
988365142074
1031154221120
1112237822490
12605559b194
132c2654b589
14171785d1a8
15c251204ea
hex740efb040

31154221120 has 112 divisors (see below), whose sum is σ = 81173409408. Its totient is φ = 11294760960.

The previous prime is 31154221117. The next prime is 31154221141. The reversal of 31154221120 is 2112245113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31154221091 and 31154221100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173109 + ... + 1199371.

It is an arithmetic number, because the mean of its divisors is an integer number (724762584).

Almost surely, 231154221120 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 31154221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40586704704).

31154221120 is an abundant number, since it is smaller than the sum of its proper divisors (50019188288).

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

31154221120 is a wasteful number, since it uses less digits than its factorization.

31154221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26628 (or 26618 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 31154221120 its reverse (2112245113), we get a palindrome (33266466233).

The spelling of 31154221120 in words is "thirty-one billion, one hundred fifty-four million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 337 352 440 674 704 880 1348 1685 1760 2696 3370 3520 3707 5392 6740 7414 10784 13480 14828 18535 21568 26263 26960 29656 37070 52526 53920 59312 74140 105052 107840 118624 131315 148280 210104 237248 262630 288893 296560 420208 525260 577786 593120 840416 1050520 1155572 1186240 1444465 1680832 2101040 2311144 2888930 4202080 4622288 5777860 8404160 8850631 9244576 11555720 17701262 18489152 23111440 35402524 44253155 46222880 70805048 88506310 92445760 97356941 141610096 177012620 194713882 283220192 354025240 389427764 486784705 566440384 708050480 778855528 973569410 1416100960 1557711056 1947138820 2832201920 3115422112 3894277640 6230844224 7788555280 15577110560 31154221120