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10312211210 = 2572292293169
BaseRepresentation
bin10011001101010011…
…11101101100001010
3222121200020121101112
421212221331230022
5132104411224320
64423134250322
7513355230500
oct114651755412
928550217345
1010312211210
114411a79a04
121bb96569a2
13c845a2432
146db7d4670
154054ceec5
hex266a7db0a

10312211210 has 96 divisors (see below), whose sum is σ = 22441698000. Its totient is φ = 3397718016.

The previous prime is 10312211209. The next prime is 10312211249. The reversal of 10312211210 is 1211221301.

It can be written as a sum of positive squares in 8 ways, for example, as 8702837521 + 1609373689 = 93289^2 + 40117^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

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, 3252506 + ... + 3255674.

Almost surely, 210312211210 is an apocalyptic number.

10312211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10312211210 is an abundant number, since it is smaller than the sum of its proper divisors (12129486790).

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

10312211210 is a wasteful number, since it uses less digits than its factorization.

10312211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10312211210 its reverse (1211221301), we get a palindrome (11523432511).

The spelling of 10312211210 in words is "ten billion, three hundred twelve million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 229 245 290 406 458 490 1015 1145 1421 1603 2030 2290 2842 3169 3206 6338 6641 7105 8015 11221 13282 14210 15845 16030 22183 22442 31690 33205 44366 46487 56105 66410 91901 92974 110915 112210 155281 183802 221830 232435 310562 325409 459505 464870 643307 650818 725701 776405 919010 1286614 1451402 1552810 1627045 3216535 3254090 3628505 4503149 5079907 6433070 7257010 9006298 10159814 21045329 22515745 25399535 35559349 42090658 45031490 50799070 71118698 105226645 147317303 177796745 210453290 294634606 355593490 736586515 1031221121 1473173030 2062442242 5156105605 10312211210