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11330001012 = 22311253147227
BaseRepresentation
bin10101000110101001…
…00001100001110100
31002020121101200112010
422203110201201310
5141200440013022
65112133124220
7550524263631
oct124324414164
932217350463
1011330001012
114894543500
122242489670
1310b73caa15
14796a53188
15464a2750c
hex2a3521874

11330001012 has 72 divisors (see below), whose sum is σ = 29606961888. Its totient is φ = 3368530880.

The previous prime is 11330000971. The next prime is 11330001013. The reversal of 11330001012 is 21010003311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330001013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3343 + ... + 150569.

It is an arithmetic number, because the mean of its divisors is an integer number (411207804).

Almost surely, 211330001012 is an apocalyptic number.

11330001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14803480944).

11330001012 is an abundant number, since it is smaller than the sum of its proper divisors (18276960876).

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

11330001012 is a wasteful number, since it uses less digits than its factorization.

11330001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147309 (or 147296 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11330001012 its reverse (21010003311), we get a palindrome (32340004323).

The spelling of 11330001012 in words is "eleven billion, three hundred thirty million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 121 132 159 212 242 318 363 484 583 636 726 1166 1452 1749 2332 3498 6413 6996 12826 19239 25652 38478 76956 147227 294454 441681 588908 883362 1619497 1766724 3238994 4858491 6477988 7803031 9716982 15606062 17814467 19433964 23409093 31212124 35628934 46818186 53443401 71257868 85833341 93636372 106886802 171666682 213773604 257500023 343333364 515000046 944166751 1030000092 1888333502 2832500253 3776667004 5665000506 11330001012