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210122221012 = 221129164672587
BaseRepresentation
bin1100001110110001000…
…0101010010111010100
3202002100210000210022221
43003230100222113110
511420312242033022
6240310120232124
721116011260304
oct3035420522724
9662323023287
10210122221012
1181126574710
123488160b644
1316a78430472
14a25457b604
1556ebe25cc7
hex30ec42a5d4

210122221012 has 24 divisors (see below), whose sum is σ = 414974921760. Its totient is φ = 92216648160.

The previous prime is 210122220967. The next prime is 210122221013.

It is a happy number.

210122221012 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122221013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82335018 + ... + 82337569.

It is an arithmetic number, because the mean of its divisors is an integer number (17290621740).

Almost surely, 2210122221012 is an apocalyptic number.

210122221012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210122221012 is a deficient number, since it is larger than the sum of its proper divisors (204852700748).

210122221012 is a wasteful number, since it uses less digits than its factorization.

210122221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164672631 (or 164672629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 210122 and 221012, that added together give a palindrome (431134).

The spelling of 210122221012 in words is "two hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 4 11 22 29 44 58 116 319 638 1276 164672587 329345174 658690348 1811398457 3622796914 4775505023 7245593828 9551010046 19102020092 52530555253 105061110506 210122221012