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20372261130 = 23351319305477
BaseRepresentation
bin10010111110010010…
…000000100100001010
31221120210000002112000
4102332102000210022
5313210244324010
613205304131430
71320562235214
oct227622004412
957523002460
1020372261130
118704679351
123b46766b76
131bc88564b0
14db39095b4
157e37a07c0
hex4be48090a

20372261130 has 128 divisors (see below), whose sum is σ = 61584364800. Its totient is φ = 4750762752.

The previous prime is 20372261089. The next prime is 20372261153. The reversal of 20372261130 is 3116227302.

20372261130 is a `hidden beast` number, since 2 + 0 + 372 + 261 + 1 + 30 = 666.

20372261130 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 20372261094 and 20372261103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86049 + ... + 219428.

It is an arithmetic number, because the mean of its divisors is an integer number (481127850).

Almost surely, 220372261130 is an apocalyptic number.

20372261130 is an abundant number, since it is smaller than the sum of its proper divisors (41212103670).

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

20372261130 is a wasteful number, since it uses less digits than its factorization.

20372261130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305525 (or 305519 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 20372261130 its reverse (3116227302), we get a palindrome (23488488432).

The spelling of 20372261130 in words is "twenty billion, three hundred seventy-two million, two hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 90 95 114 117 130 135 171 190 195 234 247 270 285 342 351 390 494 513 570 585 702 741 855 1026 1170 1235 1482 1710 1755 2223 2470 2565 3510 3705 4446 5130 6669 7410 11115 13338 22230 33345 66690 305477 610954 916431 1527385 1832862 2749293 3054770 3971201 4582155 5498586 5804063 7942402 8247879 9164310 11608126 11913603 13746465 16495758 17412189 19856005 23827206 27492930 29020315 34824378 35740809 39712010 41239395 52236567 58040630 59568015 71481618 75452819 82478790 87060945 104473134 107222427 119136030 150905638 156709701 174121890 178704045 214444854 226358457 261182835 313419402 357408090 377264095 452716914 522365670 536112135 679075371 754528190 783548505 1072224270 1131792285 1358150742 1567097010 2037226113 2263584570 3395376855 4074452226 6790753710 10186130565 20372261130