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100050511060 = 225172231495051
BaseRepresentation
bin101110100101101111…
…0011010010011010100
3100120020200200120101201
41131023132122103110
53114400412323220
6113543525402244
710141226212033
oct1351336322324
9316220616351
10100050511060
11394819a5885
1217482869384
139586116646
144bb1a4c71a
1529088b5d0a
hex174b79a4d4

100050511060 has 144 divisors (see below), whose sum is σ = 234505756800. Its totient is φ = 35779532800.

The previous prime is 100050511027. The next prime is 100050511061. The reversal of 100050511060 is 60115050001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100050511061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19805535 + ... + 19810585.

It is an arithmetic number, because the mean of its divisors is an integer number (1628512200).

Almost surely, 2100050511060 is an apocalyptic number.

100050511060 is a gapful number since it is divisible by the number (10) 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 100050511060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117252878400).

100050511060 is an abundant number, since it is smaller than the sum of its proper divisors (134455245740).

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

100050511060 is a wasteful number, since it uses less digits than its factorization.

100050511060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 100050511060 its reverse (60115050001), we get a palindrome (160165561061).

The spelling of 100050511060 in words is "one hundred billion, fifty million, five hundred eleven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 149 170 230 289 298 340 391 460 578 596 745 782 1156 1445 1490 1564 1955 2533 2890 2980 3427 3910 5051 5066 5780 6647 6854 7820 10102 10132 12665 13294 13708 17135 20204 25255 25330 26588 33235 34270 43061 50510 50660 58259 66470 68540 85867 86122 101020 116173 116518 132940 171734 172244 215305 232346 233036 291295 343468 429335 430610 464692 580865 582590 752599 858670 861220 990403 1161730 1165180 1459739 1505198 1717340 1974941 1980806 2323460 2919478 3010396 3762995 3949882 3961612 4952015 5838956 7298695 7525990 7899764 9874705 9904030 12794183 14597390 15051980 17309777 19749410 19808060 25588366 29194780 33573997 34619554 39498820 51176732 63970915 67147994 69239108 86548885 127941830 134295988 167869985 173097770 217501111 255883660 294266209 335739970 346195540 435002222 588532418 671479940 870004444 1087505555 1177064836 1471331045 2175011110 2942662090 4350022220 5002525553 5885324180 10005051106 20010102212 25012627765 50025255530 100050511060