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1210011002010 = 2325140930892
BaseRepresentation
bin10001100110111010010…
…001101010010010011010
311021200020202011201000200
4101212322101222102122
5124311100304031020
62323512115043030
7153264125546556
oct21467221522232
94250222151020
101210011002010
11427187736078
121766122a0476
138a146657b35
14427c9d12866
152171da1d590
hex119ba46a49a

1210011002010 has 72 divisors (see below), whose sum is σ = 3149280929340. Its totient is φ = 322336210944.

The previous prime is 1210011001999. The next prime is 1210011002021. The reversal of 1210011002010 is 102001100121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1210011001999) and next prime (1210011002021).

It can be written as a sum of positive squares in 6 ways, for example, as 712617923889 + 497393078121 = 844167^2 + 705261^2 .

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 = 1210011001983 and 1210011002001.

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 35 ways as a sum of consecutive naturals, for example, 391714546 + ... + 391717634.

Almost surely, 21210011002010 is an apocalyptic number.

1210011002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1210011002010 is an abundant number, since it is smaller than the sum of its proper divisors (1939269927330).

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

1210011002010 is an equidigital number, since it uses as much as digits as its factorization.

1210011002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1210011002010 its reverse (102001100121), we get a palindrome (1312012102131).

The spelling of 1210011002010 in words is "one trillion, two hundred ten billion, eleven million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1409 2818 3089 4227 6178 7045 8454 9267 12681 14090 15445 18534 21135 25362 27801 30890 42270 46335 55602 63405 92670 126810 139005 278010 4352401 8704802 9541921 13057203 19083842 21762005 26114406 28625763 39171609 43524010 47709605 57251526 65286015 78343218 85877289 95419210 130572030 143128815 171754578 195858045 286257630 391716090 429386445 858772890 13444566689 26889133378 40333700067 67222833445 80667400134 121001100201 134445666890 201668500335 242002200402 403337000670 605005501005 1210011002010