Search a number
-
+
131100300120 = 23351789722077
BaseRepresentation
bin111101000011000101…
…1111101001101011000
3110112101121100021122010
41322012023331031120
54121443134100440
6140120542225520
712320534110266
oct1720613751530
9415347307563
10131100300120
1150665779979
12214a92852a0
13c493b2bcaa
1464b9685436
153624758580
hex1e862fd358

131100300120 has 128 divisors (see below), whose sum is σ = 421115889600. Its totient is φ = 32533856256.

The previous prime is 131100300083. The next prime is 131100300139. The reversal of 131100300120 is 21003001131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131100300096 and 131100300105.

It is a congruent 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, 179479 + ... + 542598.

Almost surely, 2131100300120 is an apocalyptic number.

131100300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131100300120 is an abundant number, since it is smaller than the sum of its proper divisors (290015589480).

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

131100300120 is a wasteful number, since it uses less digits than its factorization.

131100300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722197 (or 722193 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131100300120 its reverse (21003001131), we get a palindrome (152103301251).

The spelling of 131100300120 in words is "one hundred thirty-one billion, one hundred million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 89 102 120 136 170 178 204 255 267 340 356 408 445 510 534 680 712 890 1020 1068 1335 1513 1780 2040 2136 2670 3026 3560 4539 5340 6052 7565 9078 10680 12104 15130 18156 22695 30260 36312 45390 60520 90780 181560 722077 1444154 2166231 2888308 3610385 4332462 5776616 7220770 8664924 10831155 12275309 14441540 17329848 21662310 24550618 28883080 36825927 43324620 49101236 61376545 64264853 73651854 86649240 98202472 122753090 128529706 147303708 184129635 192794559 245506180 257059412 294607416 321324265 368259270 385589118 491012360 514118824 642648530 736518540 771178236 963972795 1092502501 1285297060 1473037080 1542356472 1927945590 2185005002 2570594120 3277507503 3855891180 4370010004 5462512505 6555015006 7711782360 8740020008 10925025010 13110030012 16387537515 21850050020 26220060024 32775075030 43700100040 65550150060 131100300120