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205115040132 = 2231719143336929
BaseRepresentation
bin1011111100000111001…
…1110010000110000100
3201121102211010122110020
42333001303302012010
511330033422241012
6234121211055140
720550641034312
oct2770163620604
9647384118406
10205115040132
1179a971025a2
12339047414b0
131645ac59242
149cdb56b0b2
155507551a8c
hex2fc1cf2184

205115040132 has 96 divisors (see below), whose sum is σ = 533812809600. Its totient is φ = 60918792192.

The previous prime is 205115040059. The next prime is 205115040199. The reversal of 205115040132 is 231040511502.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5535844 + ... + 5572772.

It is an arithmetic number, because the mean of its divisors is an integer number (5560550100).

Almost surely, 2205115040132 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 205115040132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266906404800).

205115040132 is an abundant number, since it is smaller than the sum of its proper divisors (328697769468).

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

205115040132 is a wasteful number, since it uses less digits than its factorization.

205115040132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38405 (or 38403 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 205115040132 its reverse (231040511502), we get a palindrome (436155551634).

The spelling of 205115040132 in words is "two hundred five billion, one hundred fifteen million, forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1433 1938 2866 3876 4299 5732 8598 17196 24361 27227 36929 48722 54454 73083 73858 81681 97444 108908 110787 146166 147716 163362 221574 292332 326724 443148 462859 627793 701651 925718 1255586 1388577 1403302 1851436 1883379 2104953 2511172 2777154 2806604 3766758 4209906 5554308 7533516 8419812 11928067 23856134 35784201 47712268 52919257 71568402 105838514 143136804 158757771 211677028 317515542 635031084 899627369 1005465883 1799254738 2010931766 2698882107 3016397649 3598509476 4021863532 5397764214 6032795298 10795528428 12065590596 17092920011 34185840022 51278760033 68371680044 102557520066 205115040132