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1213835136 = 27329109001
BaseRepresentation
bin100100001011001…
…1010011110000000
310010121001012202220
41020112122132000
54441220211021
6320240411040
742036266643
oct11026323600
93117035686
101213835136
115731a6338
1229a616a80
13164629857
14b72d1a5a
157186ecc6
hex4859a780

1213835136 has 64 divisors (see below), whose sum is σ = 3335461200. Its totient is φ = 390656000.

The previous prime is 1213835123. The next prime is 1213835137. The reversal of 1213835136 is 6315383121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1213835097 and 1213835106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213835137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43365 + ... + 65636.

Almost surely, 21213835136 is an apocalyptic number.

1213835136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1213835136 is an abundant number, since it is smaller than the sum of its proper divisors (2121626064).

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

1213835136 is a wasteful number, since it uses less digits than its factorization.

1213835136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109047 (or 109035 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 1213835136 is about 34840.1368539218. The cubic root of 1213835136 is about 1066.7268702131.

It can be divided in two parts, 12138 and 35136, that added together give a palindrome (47274).

The spelling of 1213835136 in words is "one billion, two hundred thirteen million, eight hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 109001 218002 327003 436004 654006 872008 1308012 1744016 2616024 3161029 3488032 5232048 6322058 6976064 9483087 10464096 12644116 13952128 18966174 20928192 25288232 37932348 41856384 50576464 75864696 101152928 151729392 202305856 303458784 404611712 606917568 1213835136