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230212130112 = 2632673593869
BaseRepresentation
bin1101011001100110110…
…1100101010101000000
3211000012212201220200100
43112121231211111000
512232433301130422
6253431420522400
722426604550666
oct3263155452500
9730185656610
10230212130112
11896a5822778
12387496b0400
131892a627843
14b1dc788c36
155ec5a017ac
hex3599b65540

230212130112 has 84 divisors (see below), whose sum is σ = 660843095380. Its totient is φ = 76623224832.

The previous prime is 230212130107. The next prime is 230212130147. The reversal of 230212130112 is 211031212032.

230212130112 is a `hidden beast` number, since 230 + 2 + 121 + 301 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150159350016 + 80052780096 = 387504^2 + 282936^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90714 + ... + 684582.

Almost surely, 2230212130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230212130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330421547690).

230212130112 is an abundant number, since it is smaller than the sum of its proper divisors (430630965268).

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

230212130112 is a wasteful number, since it uses less digits than its factorization.

230212130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594560 (or 594547 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 230212130112 its reverse (211031212032), we get a palindrome (441243342144).

The spelling of 230212130112 in words is "two hundred thirty billion, two hundred twelve million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 673 1346 2019 2692 4038 5384 6057 8076 10768 12114 16152 21536 24228 32304 43072 48456 64608 96912 129216 193824 387648 593869 1187738 1781607 2375476 3563214 4750952 5344821 7126428 9501904 10689642 14252856 19003808 21379284 28505712 38007616 42758568 57011424 85517136 114022848 171034272 342068544 399673837 799347674 1199021511 1598695348 2398043022 3197390696 3597064533 4796086044 6394781392 7194129066 9592172088 12789562784 14388258132 19184344176 25579125568 28776516264 38368688352 57553032528 76737376704 115106065056 230212130112