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120133135419 = 31119296606893
BaseRepresentation
bin110111111100001111…
…1100010110000111011
3102111002021200120221220
41233320133202300323
53432013040313134
6131104410003123
711452003542213
oct1577037426073
9374067616856
10120133135419
1146a480287a0
121b3484164a3
13b43696001b
145b58cc1243
1531d1a03149
hex1bf87e2c3b

120133135419 has 32 divisors (see below), whose sum is σ = 190278547200. Its totient is φ = 66597471360.

The previous prime is 120133135403. The next prime is 120133135429. The reversal of 120133135419 is 914531331021.

It is not a de Polignac number, because 120133135419 - 24 = 120133135403 is a prime.

It is a super-2 number, since 2×1201331354192 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 120133135419.

It is not an unprimeable number, because it can be changed into a prime (120133135429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3285264 + ... + 3321629.

It is an arithmetic number, because the mean of its divisors is an integer number (5946204600).

Almost surely, 2120133135419 is an apocalyptic number.

120133135419 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

120133135419 is a deficient number, since it is larger than the sum of its proper divisors (70145411781).

120133135419 is a wasteful number, since it uses less digits than its factorization.

120133135419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606955.

The product of its (nonzero) digits is 9720, while the sum is 33.

It can be divided in two parts, 120133 and 135419, that added together give a palindrome (255552).

The spelling of 120133135419 in words is "one hundred twenty billion, one hundred thirty-three million, one hundred thirty-five thousand, four hundred nineteen".

Divisors: 1 3 11 19 29 33 57 87 209 319 551 627 957 1653 6061 18183 6606893 19820679 72675823 125530967 191599897 218027469 376592901 574799691 1380840637 2107598867 3640398043 4142521911 6322796601 10921194129 40044378473 120133135419