Search a number
-
+
131000104103240 = 23533756963127067
BaseRepresentation
bin11101110010010011010110…
…101010111010110101001000
3122011211111011111022201001102
4131302103112222322311020
5114132301203122300430
61142340341135440532
736410305462262501
oct3562232652726510
9564744144281042
10131000104103240
1138816917667459
1212838845986148
1358133452a0078
14244c620383ba8
151022930025345
hex7724d6abad48

131000104103240 has 128 divisors (see below), whose sum is σ = 296624699654400. Its totient is φ = 52068159037440.

The previous prime is 131000104103213. The next prime is 131000104103261. The reversal of 131000104103240 is 42301401000131.

It is a super-2 number, since 2×1310001041032402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4839832187 + ... + 4839859253.

It is an arithmetic number, because the mean of its divisors is an integer number (2317380466050).

Almost surely, 2131000104103240 is an apocalyptic number.

131000104103240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000104103240 is an abundant number, since it is smaller than the sum of its proper divisors (165624595551160).

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

131000104103240 is a wasteful number, since it uses less digits than its factorization.

131000104103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28615 (or 28611 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131000104103240 its reverse (42301401000131), we get a palindrome (173301505103371).

The spelling of 131000104103240 in words is "one hundred thirty-one trillion, one hundred four million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 337 569 631 674 1138 1262 1348 1685 2276 2524 2696 2845 3155 3370 4552 5048 5690 6310 6740 11380 12620 13480 22760 25240 27067 54134 108268 135335 191753 212647 216536 270670 359039 383506 425294 541340 718078 767012 850588 958765 1063235 1082680 1436156 1534024 1701176 1795195 1917530 2126470 2872312 3590390 3835060 4252940 7180780 7670120 8505880 9121579 14361560 15401123 17079277 18243158 30802246 34158554 36486316 45607895 61604492 68317108 72972632 77005615 85396385 91215790 120996143 123208984 136634216 154011230 170792770 182431580 241992286 308022460 341585540 364863160 483984572 604980715 616044920 683171080 967969144 1209961430 2419922860 4839845720 5190178451 5755716349 9718108613 10380356902 11511432698 19436217226 20760713804 23022865396 25950892255 28778581745 38872434452 41521427608 46045730792 48590543065 51901784510 57557163490 77744868904 97181086130 103803569020 115114326980 194362172260 207607138040 230228653960 388724344520 3275002602581 6550005205162 13100010410324 16375013012905 26200020820648 32750026025810 65500052051620 131000104103240