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230212102024332 = 2232122925032078801
BaseRepresentation
bin110100010110000001101110…
…100100000110110010001100
31010012010001200012201000222100
4310112001232210012302030
5220133243341104234312
62133341551335115100
766330163332330561
oct6426015644066214
91105101605630870
10230212102024332
1167397449a805aa
12219a0793212a90
139b5bba6053b2c
1440bc47a46a868
151b935299b25dc
hexd1606e906c8c

230212102024332 has 72 divisors (see below), whose sum is σ = 582631490881440. Its totient is φ = 76644258393600.

The previous prime is 230212102024301. The next prime is 230212102024367. The reversal of 230212102024332 is 233420201212032.

230212102024332 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 1 + 21 + 0 + 202 + 433 + 2 = 666.

It is a super-2 number, since 2×2302121020243322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230212102024296 and 230212102024305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109703332 + ... + 111782132.

It is an arithmetic number, because the mean of its divisors is an integer number (8092104040020).

Almost surely, 2230212102024332 is an apocalyptic number.

It is an amenable number.

230212102024332 is an abundant number, since it is smaller than the sum of its proper divisors (352419388857108).

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

230212102024332 is a wasteful number, since it uses less digits than its factorization.

230212102024332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082543 (or 2082538 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 230212102024332 its reverse (233420201212032), we get a palindrome (463632303236364).

The spelling of 230212102024332 in words is "two hundred thirty trillion, two hundred twelve billion, one hundred two million, twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1229 2458 2503 3687 4916 5006 7374 7509 10012 11061 14748 15018 22122 22527 30036 44244 45054 90108 2078801 3076187 4157602 6152374 6236403 8315204 9228561 12304748 12472806 18457122 18709209 24945612 27685683 36914244 37418418 55371366 74836836 110742732 2554846429 5109692858 5203238903 7664539287 10219385716 10406477806 15329078574 15609716709 20812955612 22993617861 30658157148 31219433418 45987235722 46829150127 62438866836 91974471444 93658300254 187316600508 6394780611787 12789561223574 19184341835361 25579122447148 38368683670722 57553025506083 76737367341444 115106051012166 230212102024332