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204120213012 = 2232193281104549
BaseRepresentation
bin1011111000011010000…
…0110100011000010100
3201111212111012012012100
42332012200310120110
511321014233304022
6233434352322100
720514201116562
oct2760640643024
9644774165170
10204120213012
11796265a2221
1233687543330
131632cb10741
149c453a8a32
15549a0431ac
hex2f86834614

204120213012 has 72 divisors (see below), whose sum is σ = 520494647400. Its totient is φ = 67446005760.

The previous prime is 204120212983. The next prime is 204120213053. The reversal of 204120213012 is 210312021402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15776364816 + 188343848196 = 125604^2 + 433986^2 .

It is a super-2 number, since 2×2041202130122 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1900114 + ... + 2004662.

It is an arithmetic number, because the mean of its divisors is an integer number (7229092325).

Almost surely, 2204120213012 is an apocalyptic number.

It is an amenable number.

204120213012 is an abundant number, since it is smaller than the sum of its proper divisors (316374434388).

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

204120213012 is a wasteful number, since it uses less digits than its factorization.

204120213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105033 (or 105028 counting only the distinct ones).

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

Adding to 204120213012 its reverse (210312021402), we get a palindrome (414432234414).

The spelling of 204120213012 in words is "two hundred four billion, one hundred twenty million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 193 281 386 562 579 772 843 1124 1158 1686 1737 2316 2529 3372 3474 5058 6948 10116 54233 104549 108466 162699 209098 216932 313647 325398 418196 488097 627294 650796 940941 976194 1254588 1881882 1952388 3763764 20177957 29378269 40355914 58756538 60533871 80711828 88134807 117513076 121067742 176269614 181601613 242135484 264404421 352539228 363203226 528808842 726406452 1057617684 5670005917 11340011834 17010017751 22680023668 34020035502 51030053253 68040071004 102060106506 204120213012