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202421114310 = 23571191497557
BaseRepresentation
bin1011110010000100111…
…1010001010111000110
3201100111002001000221210
42330201033101113012
511304024301124220
6232554014552250
720424120040212
oct2744117212706
9640432030853
10202421114310
1178934495218
1233292508686
131611babb4ac
149b23879942
1553eacbb6e0
hex2f213d15c6

202421114310 has 64 divisors (see below), whose sum is σ = 495233409024. Its totient is φ = 52939958400.

The previous prime is 202421114281. The next prime is 202421114323. The reversal of 202421114310 is 13411124202.

202421114310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2024211143102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158052 + ... + 655608.

It is an arithmetic number, because the mean of its divisors is an integer number (7738022016).

Almost surely, 2202421114310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202421114310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247616704512).

202421114310 is an abundant number, since it is smaller than the sum of its proper divisors (292812294714).

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

202421114310 is a wasteful number, since it uses less digits than its factorization.

202421114310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497829.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 202421114310 its reverse (13411124202), we get a palindrome (215832238512).

The spelling of 202421114310 in words is "two hundred two billion, four hundred twenty-one million, one hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 191 213 355 382 426 573 710 955 1065 1146 1910 2130 2865 5730 13561 27122 40683 67805 81366 135610 203415 406830 497557 995114 1492671 2487785 2985342 4975570 7463355 14926710 35326547 70653094 95033387 105979641 176632735 190066774 211959282 285100161 353265470 475166935 529898205 570200322 950333870 1059796410 1425500805 2851001610 6747370477 13494740954 20242111431 33736852385 40484222862 67473704770 101210557155 202421114310