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102212000010 = 2335419233243
BaseRepresentation
bin101111100110001001…
…1110101100100001010
3100202211022220120211000
41133030103311210022
53133312233000020
6114542221515430
710245623444061
oct1371423654412
9322738816730
10102212000010
113a39101148a
1217986712b76
13983bb830a3
144d38b431d8
1529d3527090
hex17cc4f590a

102212000010 has 64 divisors (see below), whose sum is σ = 279213298560. Its totient is φ = 26591736960.

The previous prime is 102212000003. The next prime is 102212000027. The reversal of 102212000010 is 10000212201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102211999956 and 102212000001.

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, 4605552 + ... + 4627691.

It is an arithmetic number, because the mean of its divisors is an integer number (4362707790).

Almost surely, 2102212000010 is an apocalyptic number.

102212000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212000010 is an abundant number, since it is smaller than the sum of its proper divisors (177001298550).

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

102212000010 is a wasteful number, since it uses less digits than its factorization.

102212000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233300 (or 9233294 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102212000010 its reverse (10000212201), we get a palindrome (112212212211).

The spelling of 102212000010 in words is "one hundred two billion, two hundred twelve million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 9233243 18466486 27699729 46166215 55399458 83099187 92332430 138498645 166198374 249297561 276997290 378562963 415495935 498595122 757125926 830991870 1135688889 1246487805 1892814815 2271377778 2492975610 3407066667 3785629630 5678444445 6814133334 10221200001 11356888890 17035333335 20442400002 34070666670 51106000005 102212000010