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11331123012 = 223211167171341
BaseRepresentation
bin10101000110110001…
…10011011101000100
31002020200111200121200
422203120303131010
5141201231414022
65112213142500
7550536646026
oct124330633504
932220450550
1011331123012
11489513a480
12224292aa30
1310b7701621
14796c66016
15464b99bac
hex2a3633744

11331123012 has 72 divisors (see below), whose sum is σ = 31433717952. Its totient is φ = 3413092800.

The previous prime is 11331122993. The next prime is 11331123017. The reversal of 11331123012 is 21032113311.

11331123012 is a `hidden beast` number, since 113 + 311 + 230 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11331123017) 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, 19539 + ... + 151802.

It is an arithmetic number, because the mean of its divisors is an integer number (436579416).

Almost surely, 211331123012 is an apocalyptic number.

11331123012 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 11331123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716858976).

11331123012 is an abundant number, since it is smaller than the sum of its proper divisors (20102594940).

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

11331123012 is a wasteful number, since it uses less digits than its factorization.

11331123012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171529 (or 171524 counting only the distinct ones).

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

Adding to 11331123012 its reverse (21032113311), we get a palindrome (32363236323).

The spelling of 11331123012 in words is "eleven billion, three hundred thirty-one million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 167 198 334 396 501 668 1002 1503 1837 2004 3006 3674 5511 6012 7348 11022 16533 22044 33066 66132 171341 342682 514023 685364 1028046 1542069 1884751 2056092 3084138 3769502 5654253 6168276 7539004 11308506 16962759 22617012 28613947 33925518 57227894 67851036 85841841 114455788 171683682 257525523 314753417 343367364 515051046 629506834 944260251 1030102092 1259013668 1888520502 2832780753 3777041004 5665561506 11331123012