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213032230312 = 231119592159519
BaseRepresentation
bin1100011001100110110…
…1011101110110101000
3202100212120201120122011
43012121231131312220
511442242222332222
6241510552005304
721251065036366
oct3063155356650
9670776646564
10213032230312
118238a15a780
1235354090834
1317120297065
14a44cc3a636
15581c640c77
hex3199b5dda8

213032230312 has 64 divisors (see below), whose sum is σ = 466456320000. Its totient is φ = 90181471680.

The previous prime is 213032230231. The next prime is 213032230319.

213032230312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (213032230319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981112 + ... + 1178407.

It is an arithmetic number, because the mean of its divisors is an integer number (7288380000).

Almost surely, 2213032230312 is an apocalyptic number.

213032230312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213032230312 is an abundant number, since it is smaller than the sum of its proper divisors (253424089688).

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

213032230312 is a wasteful number, since it uses less digits than its factorization.

213032230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159614 (or 2159610 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 213032 and 230312, that added together give a palindrome (443344).

The spelling of 213032230312 in words is "two hundred thirteen billion, thirty-two million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 59 76 88 118 152 209 236 418 472 649 836 1121 1298 1672 2242 2596 4484 5192 8968 12331 24662 49324 98648 2159519 4319038 8638076 17276152 23754709 41030861 47509418 82061722 95018836 127411621 164123444 190037672 254823242 328246888 451339471 509646484 902678942 1019292968 1401527831 1805357884 2420820799 2803055662 3610715768 4841641598 5606111324 9683283196 11212222648 19366566392 26629028789 53258057578 106516115156 213032230312