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11820420234 = 234721489093
BaseRepresentation
bin10110000001000110…
…10100110010001010
31010111210012120020000
423000203110302022
5143202011421414
65232532343430
7565630625400
oct130043246212
933453176200
1011820420234
115016356747
12235a774b76
131164ba9ccc
14801c33470
15492aebb09
hex2c08d4c8a

11820420234 has 60 divisors (see below), whose sum is σ = 30810843954. Its totient is φ = 3377260656.

The previous prime is 11820420233. The next prime is 11820420289. The reversal of 11820420234 is 43202402811.

11820420234 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 0 + 420 + 234 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10480640625 + 1339779609 = 102375^2 + 36603^2 .

It is a super-2 number, since 2×118204202342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11820420198 and 11820420207.

It is not an unprimeable number, because it can be changed into a prime (11820420233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 736609 + ... + 752484.

Almost surely, 211820420234 is an apocalyptic number.

11820420234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11820420234 is an abundant number, since it is smaller than the sum of its proper divisors (18990423720).

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

11820420234 is a wasteful number, since it uses less digits than its factorization.

11820420234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489121 (or 1489105 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 11820420234 in words is "eleven billion, eight hundred twenty million, four hundred twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 1489093 2978186 4467279 8934558 10423651 13401837 20847302 26803674 31270953 40205511 62541906 72965557 80411022 93812859 120616533 145931114 187625718 218896671 241233066 281438577 437793342 562877154 656690013 844315731 1313380026 1688631462 1970070039 3940140078 5910210117 11820420234