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210001100012 = 221171101665563
BaseRepresentation
bin1100001110010100001…
…0100111110011101100
3202002001100010012112222
43003211002213303230
511420040240200022
6240250112214512
721113010616664
oct3034502476354
9662040105488
10210001100012
1181074167710
1234848b3a438
1316a59303232
14a24244d1a4
1556e149d242
hex30e50a7cec

210001100012 has 48 divisors (see below), whose sum is σ = 410583769344. Its totient is φ = 93178680000.

The previous prime is 210001099999. The next prime is 210001100033.

210001100012 is nontrivially palindromic in base 10.

210001100012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 17258 + ... + 648305.

It is an arithmetic number, because the mean of its divisors is an integer number (8553828528).

Almost surely, 2210001100012 is an apocalyptic number.

210001100012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210001100012 is a deficient number, since it is larger than the sum of its proper divisors (200582669332).

210001100012 is a wasteful number, since it uses less digits than its factorization.

210001100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665750 (or 665748 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 210001 and 100012, that multiplied together give a palindrome (21002620012).

The spelling of 210001100012 in words is "two hundred ten billion, one million, one hundred thousand, twelve".

Divisors: 1 2 4 11 22 44 71 101 142 202 284 404 781 1111 1562 2222 3124 4444 7171 14342 28684 78881 157762 315524 665563 1331126 2662252 7321193 14642386 29284772 47254973 67221863 94509946 134443726 189019892 268887452 519804703 739440493 1039609406 1478880986 2079218812 2957761972 4772752273 9545504546 19091009092 52500275003 105000550006 210001100012