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131000123001120 = 2535829329212211
BaseRepresentation
bin11101110010010011010111…
…110011000000100100100000
3122011211111012210212211001220
4131302103113303000210200
5114132301222442013440
61142340343052455040
736410306112021402
oct3562232763004440
9564744183784056
10131000123001120
11388169272a473a
121283885017a480
135813349188949
14244c622aa2b72
151022931a098d0
hex7724d7cc0920

131000123001120 has 96 divisors (see below), whose sum is σ = 413148157571520. Its totient is φ = 34891226864640.

The previous prime is 131000123001119. The next prime is 131000123001133. The reversal of 131000123001120 is 21100321000131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1310001230011202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131000123001120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164208186 + ... + 165004025.

It is an arithmetic number, because the mean of its divisors is an integer number (4303626641370).

Almost surely, 2131000123001120 is an apocalyptic number.

131000123001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000123001120 is an abundant number, since it is smaller than the sum of its proper divisors (282148034570400).

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

131000123001120 is a wasteful number, since it uses less digits than its factorization.

131000123001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329213058 (or 329213050 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131000123001120 its reverse (21100321000131), we get a palindrome (152100444001251).

The spelling of 131000123001120 in words is "one hundred thirty-one trillion, one hundred twenty-three million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 829 1658 2487 3316 4145 4974 6632 8290 9948 12435 13264 16580 19896 24870 26528 33160 39792 49740 66320 79584 99480 132640 198960 397920 329212211 658424422 987636633 1316848844 1646061055 1975273266 2633697688 3292122110 3950546532 4938183165 5267395376 6584244220 7901093064 9876366330 10534790752 13168488440 15802186128 19752732660 26336976880 31604372256 39505465320 52673953760 79010930640 158021861280 272916922919 545833845838 818750768757 1091667691676 1364584614595 1637501537514 2183335383352 2729169229190 3275003075028 4093753843785 4366670766704 5458338458380 6550006150056 8187507687570 8733341533408 10916676916760 13100012300112 16375015375140 21833353833520 26200024600224 32750030750280 43666707667040 65500061500560 131000123001120