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120233131020 = 223258341919207
BaseRepresentation
bin110111111111001110…
…0111111110000001100
3102111100020211220010200
41233332130333300030
53432214140143040
6131122341133500
711454326515452
oct1577634776014
9374306756120
10120233131020
1146a99516992
121b3759ba290
13b4515a1812
145b682b09d2
1531da6a6630
hex1bfe73fc0c

120233131020 has 144 divisors (see below), whose sum is σ = 370001399040. Its totient is φ = 31598633088.

The previous prime is 120233131003. The next prime is 120233131021. The reversal of 120233131020 is 20131332021.

120233131020 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 331 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120233130984 and 120233131002.

It is not an unprimeable number, because it can be changed into a prime (120233131021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6250257 + ... + 6269463.

It is an arithmetic number, because the mean of its divisors is an integer number (2569454160).

Almost surely, 2120233131020 is an apocalyptic number.

120233131020 is a gapful number since it is divisible by the number (10) 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 120233131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185000699520).

120233131020 is an abundant number, since it is smaller than the sum of its proper divisors (249768268020).

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

120233131020 is a wasteful number, since it uses less digits than its factorization.

120233131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19724 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120233131020 its reverse (20131332021), we get a palindrome (140364463041).

The spelling of 120233131020 in words is "one hundred twenty billion, two hundred thirty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 419 498 747 830 838 996 1245 1257 1494 1660 1676 2095 2490 2514 2988 3735 3771 4190 4980 5028 6285 7470 7542 8380 12570 14940 15084 18855 19207 25140 34777 37710 38414 57621 69554 75420 76828 96035 104331 115242 139108 172863 173885 192070 208662 230484 288105 312993 345726 347770 384140 417324 521655 576210 625986 691452 695540 864315 1043310 1152420 1251972 1564965 1594181 1728630 2086620 3129930 3188362 3457260 4782543 6259860 6376724 7970905 8047733 9565086 14347629 15941810 16095466 19130172 23912715 24143199 28695258 31883620 32190932 40238665 47825430 48286398 57390516 71738145 72429597 80477330 95650860 96572796 120715995 143476290 144859194 160954660 241431990 286952580 289718388 362147985 482863980 667961839 724295970 1335923678 1448591940 2003885517 2671847356 3339809195 4007771034 6011656551 6679618390 8015542068 10019427585 12023313102 13359236780 20038855170 24046626204 30058282755 40077710340 60116565510 120233131020