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210002312322 = 232117915785513
BaseRepresentation
bin1100001110010100011…
…1001111110010000010
3202002001102101210112100
43003211013033302002
511420041042443242
6240250154211230
721113024126265
oct3034507176202
9662042353470
10210002312322
1181074915520
1234849423b16
1316a59638c8a
14a242686cdc
1556e163c54c
hex30e51cfc82

210002312322 has 96 divisors (see below), whose sum is σ = 505859777280. Its totient is φ = 62430600960.

The previous prime is 210002312321. The next prime is 210002312389. The reversal of 210002312322 is 223213200012.

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

It is a junction number, because it is equal to n+sod(n) for n = 210002312295 and 210002312304.

It is not an unprimeable number, because it can be changed into a prime (210002312321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2413038 + ... + 2498550.

It is an arithmetic number, because the mean of its divisors is an integer number (5269372680).

Almost surely, 2210002312322 is an apocalyptic number.

210002312322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210002312322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252929888640).

210002312322 is an abundant number, since it is smaller than the sum of its proper divisors (295857464958).

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

210002312322 is a wasteful number, since it uses less digits than its factorization.

210002312322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85768 (or 85765 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 210002312322 its reverse (223213200012), we get a palindrome (433215512334).

The spelling of 210002312322 in words is "two hundred ten billion, two million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 157 158 198 237 314 471 474 711 869 942 1413 1422 1727 1738 2607 2826 3454 5181 5214 7821 10362 12403 15543 15642 24806 31086 37209 74418 85513 111627 136433 171026 223254 256539 272866 409299 513078 769617 818598 940643 1227897 1539234 1881286 2455794 2821929 5643858 6755527 8465787 13425541 13511054 16931574 20266581 26851082 40276623 40533162 60799743 74310797 80553246 120829869 121599486 147680951 148621594 222932391 241659738 295361902 443042853 445864782 668797173 886085706 1060617739 1329128559 1337594346 2121235478 2658257118 3181853217 6363706434 9545559651 11666795129 19091119302 23333590258 35000385387 70000770774 105001156161 210002312322