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11132111232 = 27341197609
BaseRepresentation
bin10100101111000011…
…01000100110000000
31001201211000211210000
422113201220212000
5140244310024412
65040343440000
7542602245534
oct122741504600
931654024700
1011132111232
1147a2871a30
1221a8156000
131085402088
1477865dbc4
154524884dc
hex297868980

11132111232 has 160 divisors (see below), whose sum is σ = 36141078600. Its totient is φ = 3373332480.

The previous prime is 11132111183. The next prime is 11132111233. The reversal of 11132111232 is 23211123111.

11132111232 is a `hidden beast` number, since 111 + 321 + 1 + 1 + 232 = 666.

It is a super-3 number, since 3×111321112323 (a number of 31 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (36) and by the product (5184) of the squares of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132111233) 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 19 ways as a sum of consecutive naturals, for example, 65244 + ... + 162852.

Almost surely, 211132111232 is an apocalyptic number.

11132111232 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 11132111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070539300).

11132111232 is an abundant number, since it is smaller than the sum of its proper divisors (25008967368).

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

11132111232 is an equidigital number, since it uses as much as digits as its factorization.

11132111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97646 (or 97625 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11132111232 its reverse (23211123111), we get a palindrome (34343234343).

The spelling of 11132111232 in words is "eleven billion, one hundred thirty-two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 28512 38016 57024 97609 114048 195218 292827 390436 585654 780872 878481 1073699 1171308 1561744 1756962 2147398 2342616 2635443 3123488 3221097 3513924 4294796 4685232 5270886 6246976 6442194 7027848 7906329 8589592 9370464 9663291 10541772 12493952 12884388 14055696 15812658 17179184 18740928 19326582 21083544 25768776 28111392 28989873 31625316 34358368 37481856 38653164 42167088 51537552 56222784 57979746 63250632 68716736 77306328 84334176 86969619 103075104 112445568 115959492 126501264 137433472 154612656 168668352 173939238 206150208 231918984 253002528 309225312 337336704 347878476 412300416 463837968 506005056 618450624 695756952 927675936 1012010112 1236901248 1391513904 1855351872 2783027808 3710703744 5566055616 11132111232