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11520203130 = 23451572577
BaseRepresentation
bin10101011101010100…
…00101100101111010
31002201212021221210000
422232222011211322
5142043133000010
65143045533430
7555324053022
oct125652054572
932655257700
1011520203130
114981944137
122296114276
131117934457
147b4004a82
154765987c0
hex2aea8597a

11520203130 has 120 divisors (see below), whose sum is σ = 31229135388. Its totient is φ = 3047196672.

The previous prime is 11520203069. The next prime is 11520203141. The reversal of 11520203130 is 3130202511.

11520203130 is a `hidden beast` number, since 11 + 520 + 2 + 0 + 3 + 130 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6527508849 + 4992694281 = 80793^2 + 70659^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19965402 + ... + 19965978.

Almost surely, 211520203130 is an apocalyptic number.

11520203130 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 11520203130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614567694).

11520203130 is an abundant number, since it is smaller than the sum of its proper divisors (19708932258).

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

11520203130 is an equidigital number, since it uses as much as digits as its factorization.

11520203130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11520203130 its reverse (3130202511), we get a palindrome (14650405641).

The spelling of 11520203130 in words is "eleven billion, five hundred twenty million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 157 162 270 314 405 471 577 785 810 942 1154 1413 1570 1731 2355 2826 2885 3462 4239 4710 5193 5770 7065 8478 8655 10386 12717 14130 15579 17310 21195 24649 25434 25965 31158 42390 46737 49298 51930 63585 73947 77895 90589 93474 123245 127170 147894 155790 181178 221841 233685 246490 271767 369735 443682 452945 467370 543534 665523 739470 815301 905890 1109205 1331046 1358835 1630602 1996569 2218410 2445903 2717670 3327615 3993138 4076505 4891806 6655230 7337709 8153010 9982845 12229515 14222473 14675418 19965690 24459030 28444946 36688545 42667419 71112365 73377090 85334838 128002257 142224730 213337095 256004514 384006771 426674190 640011285 768013542 1152020313 1280022570 1920033855 2304040626 3840067710 5760101565 11520203130