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212312212002 = 232113972700967
BaseRepresentation
bin1100010110111011001…
…0110100001000100010
3202022000101212212012100
43011232302310020202
511434303411241002
6241311311311230
721224203011552
oct3055662641042
9668011785170
10212312212002
118204a788320
1235192b1b516
1317037069117
14a3c1371162
1557c931711c
hex316ecb4222

212312212002 has 48 divisors (see below), whose sum is σ = 503093103552. Its totient is φ = 64174952160.

The previous prime is 212312211983. The next prime is 212312212039. The reversal of 212312212002 is 200212213212.

212312212002 is a `hidden beast` number, since 212 + 31 + 221 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1271878 + ... + 1429089.

It is an arithmetic number, because the mean of its divisors is an integer number (10481106324).

Almost surely, 2212312212002 is an apocalyptic number.

212312212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212312212002 is an abundant number, since it is smaller than the sum of its proper divisors (290780891550).

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

212312212002 is a wasteful number, since it uses less digits than its factorization.

212312212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701383 (or 2701380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212312212002 its reverse (200212213212), we get a palindrome (412524425214).

The spelling of 212312212002 in words is "two hundred twelve billion, three hundred twelve million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 397 794 1191 2382 3573 4367 7146 8734 13101 26202 39303 78606 2700967 5401934 8102901 16205802 24308703 29710637 48617406 59421274 89131911 178263822 267395733 534791466 1072283899 2144567798 3216851697 6433703394 9650555091 11795122889 19301110182 23590245778 35385368667 70770737334 106156106001 212312212002