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12571340130 = 235510135107
BaseRepresentation
bin10111011010100111…
…10110110101100010
31012110010012020200000
423231103312311202
5201221230341010
65435235240430
7623346425256
oct135523666542
935403166600
1012571340130
1153712149a8
12252a149116
1312546373cb
14873864266
154d89cb7c0
hex2ed4f6d62

12571340130 has 96 divisors (see below), whose sum is σ = 33936162624. Its totient is φ = 3348392256.

The previous prime is 12571340129. The next prime is 12571340143. The reversal of 12571340130 is 3104317521.

12571340130 is a `hidden beast` number, since 1 + 257 + 1 + 3 + 401 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12571340094 and 12571340103.

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, 2459037 + ... + 2464143.

It is an arithmetic number, because the mean of its divisors is an integer number (353501694).

Almost surely, 212571340130 is an apocalyptic number.

12571340130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12571340130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968081312).

12571340130 is an abundant number, since it is smaller than the sum of its proper divisors (21364822494).

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

12571340130 is a wasteful number, since it uses less digits than its factorization.

12571340130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 12571340130 its reverse (3104317521), we get a palindrome (15675657651).

The spelling of 12571340130 in words is "twelve billion, five hundred seventy-one million, three hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1013 1215 2026 2430 3039 5065 5107 6078 9117 10130 10214 15195 15321 18234 25535 27351 30390 30642 45585 45963 51070 54702 76605 82053 91170 91926 136755 137889 153210 164106 229815 246159 273510 275778 410265 413667 459630 492318 689445 820530 827334 1230795 1241001 1378890 2068335 2461590 2482002 4136670 5173391 6205005 10346782 12410010 15520173 25866955 31040346 46560519 51733910 77600865 93121038 139681557 155201730 232802595 279363114 419044671 465605190 698407785 838089342 1257134013 1396815570 2095223355 2514268026 4190446710 6285670065 12571340130