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11023331112 = 23321493073347
BaseRepresentation
bin10100100010000101…
…01010111100101000
31001110020100020111200
422101002222330220
5140033433043422
65021500124200
7540111524403
oct122102527450
931406306450
1011023331112
114747423902
122177836660
131068a06041
14768024d3a
15447b4c2ac
hex2910aaf28

11023331112 has 96 divisors (see below), whose sum is σ = 30162132000. Its totient is φ = 3636807552.

The previous prime is 11023331107. The next prime is 11023331119. The reversal of 11023331112 is 21113332011.

11023331112 is a `hidden beast` number, since 110 + 233 + 311 + 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 (11023331119) 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, 3291823 + ... + 3295169.

It is an arithmetic number, because the mean of its divisors is an integer number (314188875).

Almost surely, 211023331112 is an apocalyptic number.

11023331112 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 11023331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15081066000).

11023331112 is an abundant number, since it is smaller than the sum of its proper divisors (19138800888).

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

11023331112 is a wasteful number, since it uses less digits than its factorization.

11023331112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3808 counting only the distinct ones).

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

Adding to 11023331112 its reverse (21113332011), we get a palindrome (32136663123).

The spelling of 11023331112 in words is "eleven billion, twenty-three million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 307 447 596 614 894 921 1192 1228 1341 1788 1842 2456 2682 2763 3347 3576 3684 5364 5526 6694 7368 10041 10728 11052 13388 20082 22104 26776 30123 40164 45743 60246 80328 91486 120492 137229 182972 240984 274458 365944 411687 498703 548916 823374 997406 1027529 1097832 1496109 1646748 1994812 2055058 2992218 3082587 3293496 3989624 4110116 4488327 5984436 6165174 8220232 8976654 9247761 11968872 12330348 17953308 18495522 24660696 35906616 36991044 73982088 153101821 306203642 459305463 612407284 918610926 1224814568 1377916389 1837221852 2755832778 3674443704 5511665556 11023331112