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211213822152 = 23312923681001
BaseRepresentation
bin1100010010110101010…
…0110010100011001000
3202012011212001212120210
43010231110302203020
511430031214302102
6241010313121120
721155034603024
oct3045524624310
9665155055523
10211213822152
1181636772813
1234b270b91a0
1316bc06302b8
14a319531384
155762b9d36c
hex312d5328c8

211213822152 has 32 divisors (see below), whose sum is σ = 528076190880. Its totient is φ = 70399056000.

The previous prime is 211213822139. The next prime is 211213822159. The reversal of 211213822152 is 251228312112.

It is a super-3 number, since 3×2112138221523 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (211213822159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30349 + ... + 650652.

It is an arithmetic number, because the mean of its divisors is an integer number (16502380965).

Almost surely, 2211213822152 is an apocalyptic number.

It is an amenable number.

211213822152 is an abundant number, since it is smaller than the sum of its proper divisors (316862368728).

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

211213822152 is a wasteful number, since it uses less digits than its factorization.

211213822152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693933 (or 693929 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The spelling of 211213822152 in words is "two hundred eleven billion, two hundred thirteen million, eight hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 12923 25846 38769 51692 77538 103384 155076 310152 681001 1362002 2043003 2724004 4086006 5448008 8172012 16344024 8800575923 17601151846 26401727769 35202303692 52803455538 70404607384 105606911076 211213822152