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221002131 = 3731247233
BaseRepresentation
bin11010010110000…
…11100110010011
3120101212001221010
431023003212103
5423034032011
633532502003
75322326040
oct1513034623
9511761833
10221002131
11103828199
126201a903
1336a2b8bc
14214cc1c7
15146071a6
hexd2c3993

221002131 has 48 divisors (see below), whose sum is σ = 356908032. Its totient is φ = 119099520.

The previous prime is 221002121. The next prime is 221002151. The reversal of 221002131 is 131200122.

221002131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221002131 - 27 = 221002003 is a prime.

It is a super-2 number, since 2×2210021312 = 97683883813082322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221002121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948391 + ... + 948623.

It is an arithmetic number, because the mean of its divisors is an integer number (7435584).

Almost surely, 2221002131 is an apocalyptic number.

221002131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221002131 is a deficient number, since it is larger than the sum of its proper divisors (135905901).

221002131 is a wasteful number, since it uses less digits than its factorization.

221002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221002131 is about 14866.1404204319. The cubic root of 221002131 is about 604.5963028689.

Adding to 221002131 its reverse (131200122), we get a palindrome (352202253).

The spelling of 221002131 in words is "two hundred twenty-one million, two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 47 93 141 217 233 329 651 699 961 987 1457 1631 2883 4371 4893 6727 7223 10199 10951 20181 21669 30597 32853 45167 50561 76657 135501 151683 223913 229971 316169 339481 671739 948507 1018443 1567391 2376367 4702173 7129101 10523911 31571733 73667377 221002131