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15131311020 = 22325715597703
BaseRepresentation
bin11100001011110010…
…10111101110101100
31110001112020020112200
432011321113232230
5221442103423040
610541244301500
71043653010250
oct160571275654
943045206480
1015131311020
116465259a21
122b23541890
131571b03497
14a37846260
155d8601630
hex385e57bac

15131311020 has 144 divisors (see below), whose sum is σ = 52495672320. Its totient is φ = 3455918208.

The previous prime is 15131311007. The next prime is 15131311031. The reversal of 15131311020 is 2011313151.

15131311020 is a `hidden beast` number, since 1 + 513 + 131 + 1 + 0 + 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 = 15131310984 and 15131311002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1960489 + ... + 1968191.

It is an arithmetic number, because the mean of its divisors is an integer number (364553280).

Almost surely, 215131311020 is an apocalyptic number.

15131311020 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 15131311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26247836160).

15131311020 is an abundant number, since it is smaller than the sum of its proper divisors (37364361300).

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

15131311020 is a wasteful number, since it uses less digits than its factorization.

15131311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9284 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 15131311020 its reverse (2011313151), we get a palindrome (17142624171).

It can be divided in two parts, 1513131 and 1020, that added together give a palindrome (1514151).

The spelling of 15131311020 in words is "fifteen billion, one hundred thirty-one million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1559 3118 4677 6236 7703 7795 9354 10913 14031 15406 15590 18708 21826 23109 23385 28062 30812 31180 32739 38515 43652 46218 46770 53921 54565 56124 65478 69327 70155 77030 92436 93540 98217 107842 109130 115545 130956 138654 140310 154060 161763 163695 196434 215684 218260 231090 269605 277308 280620 323526 327390 346635 392868 462180 485289 491085 539210 647052 654780 693270 808815 970578 982170 1078420 1386540 1617630 1941156 1964340 2426445 3235260 4852890 9705780 12008977 24017954 36026931 48035908 60044885 72053862 84062839 108080793 120089770 144107724 168125678 180134655 216161586 240179540 252188517 336251356 360269310 420314195 432323172 504377034 540403965 720538620 756565551 840628390 1008754068 1080807930 1260942585 1513131102 1681256780 2161615860 2521885170 3026262204 3782827755 5043770340 7565655510 15131311020