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120001120013331 = 32413131566166343
BaseRepresentation
bin11011010010001111110000…
…001000011000110000010011
3120201212222212101021121101200
4123102033300020120300103
5111212044243210411311
61103115430430402243
734163536423143144
oct3322176010306023
9521788771247350
10120001120013331
1135266209908867
1211561030360383
1351c6098496b5b
14218c129adbacb
15dd1787b41556
hex6d23f0218c13

120001120013331 has 48 divisors (see below), whose sum is σ = 178143984887232. Its totient is φ = 77794009113600.

The previous prime is 120001120013309. The next prime is 120001120013347. The reversal of 120001120013331 is 133310021100021.

120001120013331 is a `hidden beast` number, since 1 + 200 + 0 + 1 + 120 + 0 + 13 + 331 = 666.

It is not a de Polignac number, because 120001120013331 - 218 = 120001119751187 is a prime.

It is a super-2 number, since 2×1200011200133312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120001120013381) 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, 1808765346 + ... + 1808831688.

It is an arithmetic number, because the mean of its divisors is an integer number (3711333018484).

Almost surely, 2120001120013331 is an apocalyptic number.

120001120013331 is a deficient number, since it is larger than the sum of its proper divisors (58142864873901).

120001120013331 is a wasteful number, since it uses less digits than its factorization.

120001120013331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82364 (or 82361 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120001120013331 its reverse (133310021100021), we get a palindrome (253311141113352).

The spelling of 120001120013331 in words is "one hundred twenty trillion, one billion, one hundred twenty million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 41 123 313 369 939 2817 12833 15661 38499 46983 66343 115497 140949 199029 597087 642101 1926303 2720063 4901893 5778909 8160189 14705679 20765359 24480567 44117037 62296077 186888231 200977613 602932839 851379719 1038997723 1808798517 2554139157 3116993169 7662417471 9350979507 42598906643 127796719929 325206287299 383390159787 975618861897 2926856585691 13333457779259 40000373337777 120001120013331