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131330311021120 = 26510130111349531
BaseRepresentation
bin11101110111000110111000…
…100010010110001001000000
3122020000001111011220011010211
4131313012320202112021000
5114203203434110133440
61143152151220003504
736443205351623131
oct3567067042261100
9566001434804124
10131330311021120
11389339658851a2
121289083b530594
13583851a300a83
1424605c71d3c88
15102b309581eea
hex7771b8896240

131330311021120 has 112 divisors (see below), whose sum is σ = 315931767806016. Its totient is φ = 51994691840000.

The previous prime is 131330311021073. The next prime is 131330311021193. The reversal of 131330311021120 is 21120113033131.

It is a super-2 number, since 2×1313303110211202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131330311021091 and 131330311021100.

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, 96640755 + ... + 97990285.

Almost surely, 2131330311021120 is an apocalyptic number.

131330311021120 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 131330311021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157965883903008).

131330311021120 is an abundant number, since it is smaller than the sum of its proper divisors (184601456784896).

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

131330311021120 is a wasteful number, since it uses less digits than its factorization.

131330311021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352660 (or 1352650 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131330311021120 its reverse (21120113033131), we get a palindrome (152450424054251).

The spelling of 131330311021120 in words is "one hundred thirty-one trillion, three hundred thirty billion, three hundred eleven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1616 2020 3011 3232 4040 6022 6464 8080 12044 15055 16160 24088 30110 32320 48176 60220 96352 120440 192704 240880 304111 481760 608222 963520 1216444 1349531 1520555 2432888 2699062 3041110 4865776 5398124 6082220 6747655 9731552 10796248 12164440 13495310 19463104 21592496 24328880 26990620 43184992 48657760 53981240 86369984 97315520 107962480 136302631 215924960 272605262 431849920 545210524 681513155 1090421048 1363026310 2180842096 2726052620 4063437841 4361684192 5452105240 8126875682 8723368384 10904210480 16253751364 20317189205 21808420960 32507502728 40634378410 43616841920 65015005456 81268756820 130030010912 162537513640 260060021824 325075027280 410407221941 650150054560 820814443882 1300300109120 1641628887764 2052036109705 3283257775528 4104072219410 6566515551056 8208144438820 13133031102112 16416288877640 26266062204224 32832577755280 65665155510560 131330311021120