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201232323120 = 24352338639437
BaseRepresentation
bin1011101101101001100…
…0011001001000110000
3201020102020010012000110
42323122120121020300
511244110433314440
6232240031021320
720352503344533
oct2733230311060
9636366105013
10201232323120
1178384444864
123300036a840
1315c8c71cb5a
149a4da26a1a
15537b747080
hex2eda619230

201232323120 has 160 divisors (see below), whose sum is σ = 651180321792. Its totient is φ = 51310099456.

The previous prime is 201232323113. The next prime is 201232323179. The reversal of 201232323120 is 21323232102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21319042 + ... + 21328478.

Almost surely, 2201232323120 is an apocalyptic number.

201232323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201232323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325590160896).

201232323120 is an abundant number, since it is smaller than the sum of its proper divisors (449947998672).

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

201232323120 is a wasteful number, since it uses less digits than its factorization.

201232323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13339 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 201232323120 its reverse (21323232102), we get a palindrome (222555555222).

The spelling of 201232323120 in words is "two hundred one billion, two hundred thirty-two million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 3863 5520 7726 9437 11589 15452 18874 19315 23178 28311 30904 37748 38630 46356 47185 56622 57945 61808 75496 77260 88849 92712 94370 113244 115890 141555 150992 154520 177698 185424 188740 217051 226488 231780 266547 283110 309040 355396 377480 434102 444245 452976 463560 533094 566220 651153 710792 754960 868204 888490 927120 1066188 1085255 1132440 1302306 1332735 1421584 1736408 1776980 2132376 2170510 2264880 2604612 2665470 3255765 3472816 3553960 4264752 4341020 5209224 5330940 6511530 7107920 8682040 10418448 10661880 13023060 17364080 21323760 26046120 36455131 52092240 72910262 109365393 145820524 182275655 218730786 291641048 364551310 437461572 546826965 583282096 729102620 838468013 874923144 1093653930 1458205240 1676936026 1749846288 2187307860 2515404039 2916410480 3353872052 4192340065 4374615720 5030808078 6707744104 8384680130 8749231440 10061616156 12577020195 13415488208 16769360260 20123232312 25154040390 33538720520 40246464624 50308080780 67077441040 100616161560 201232323120