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210101101012 = 221131347931849
BaseRepresentation
bin1100001110101100000…
…0000110000111010100
3202002022022021210010201
43003223000012013110
511420241340213022
6240304043430244
721115333615045
oct3035300060724
9662268253121
10210101101012
1181115659970
1234876525384
1316a73c4731a
14a2518408cc
1556ea153127
hex30eb0061d4

210101101012 has 48 divisors (see below), whose sum is σ = 403236288000. Its totient is φ = 94993666560.

The previous prime is 210101101009. The next prime is 210101101057.

210101101012 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 210101101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6580864 + ... + 6612712.

It is an arithmetic number, because the mean of its divisors is an integer number (8400756000).

Almost surely, 2210101101012 is an apocalyptic number.

210101101012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210101101012 is a deficient number, since it is larger than the sum of its proper divisors (193135186988).

210101101012 is a wasteful number, since it uses less digits than its factorization.

210101101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32656 (or 32654 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 210101 and 101012, that multiplied together give a palindrome (21222722212).

The spelling of 210101101012 in words is "two hundred ten billion, one hundred one million, one hundred one thousand, twelve".

Divisors: 1 2 4 11 22 44 313 479 626 958 1252 1916 3443 5269 6886 10538 13772 21076 31849 63698 127396 149927 299854 350339 599708 700678 1401356 1649197 3298394 6596788 9968737 15255671 19937474 30511342 39874948 61022684 109656107 167812381 219312214 335624762 438624428 671249524 4775025023 9550050046 19100100092 52525275253 105050550506 210101101012