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20233113210 = 23251727747741
BaseRepresentation
bin10010110101111111…
…001100111001111010
31221020002011122110100
4102311333030321322
5312414134110320
613143413500230
71314252424152
oct226577147172
957202148410
1020233113210
118643079472
123b08041676
131ba5a86c4b
14d9d247762
157d6466790
hex4b5fcce7a

20233113210 has 96 divisors (see below), whose sum is σ = 55902826512. Its totient is φ = 5059676160.

The previous prime is 20233113169. The next prime is 20233113221. The reversal of 20233113210 is 1231133202.

20233113210 is a `hidden beast` number, since 202 + 331 + 132 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1699830441 + 18533282769 = 41229^2 + 136137^2 .

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 47 ways as a sum of consecutive naturals, for example, 399940 + ... + 447680.

Almost surely, 220233113210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20233113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27951413256).

20233113210 is an abundant number, since it is smaller than the sum of its proper divisors (35669713302).

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

20233113210 is a wasteful number, since it uses less digits than its factorization.

20233113210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48048 (or 48045 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20233113210 its reverse (1231133202), we get a palindrome (21464246412).

The spelling of 20233113210 in words is "twenty billion, two hundred thirty-three million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 277 306 510 554 765 831 1385 1530 1662 2493 2770 4155 4709 4986 8310 9418 12465 14127 23545 24930 28254 42381 47090 47741 70635 84762 95482 141270 143223 211905 238705 286446 423810 429669 477410 716115 811597 859338 1432230 1623194 2148345 2434791 4057985 4296690 4869582 7304373 8115970 12173955 13224257 14608746 24347910 26448514 36521865 39672771 66121285 73043730 79345542 119018313 132242570 198363855 224812369 238036626 396727710 449624738 595091565 674437107 1124061845 1190183130 1348874214 2023311321 2248123690 3372185535 4046622642 6744371070 10116556605 20233113210