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21134121432 = 2332925917747
BaseRepresentation
bin10011101011101100…
…010001100111011000
32000112212120121101020
4103223230101213120
5321240313341212
613413041322440
71345503032244
oct235354214730
960485517336
1021134121432
118a6572a266
124119936420
131cba6444c8
141046b87424
1583a5e1d8c
hex4ebb119d8

21134121432 has 96 divisors (see below), whose sum is σ = 55650628800. Its totient is φ = 6686124928.

The previous prime is 21134121397. The next prime is 21134121451. The reversal of 21134121432 is 23412143112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181983 + ... + 1199729.

It is an arithmetic number, because the mean of its divisors is an integer number (579694050).

Almost surely, 221134121432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21134121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27825314400).

21134121432 is an abundant number, since it is smaller than the sum of its proper divisors (34516507368).

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

21134121432 is a wasteful number, since it uses less digits than its factorization.

21134121432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17873 (or 17840 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 21134121432 its reverse (23412143112), we get a palindrome (44546264544).

The spelling of 21134121432 in words is "twenty-one billion, one hundred thirty-four million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 174 177 232 236 348 354 472 696 708 841 1416 1682 1711 2523 3364 3422 5046 5133 6728 6844 10092 10266 13688 17747 20184 20532 35494 41064 49619 53241 70988 99238 106482 141976 148857 198476 212964 297714 396952 425928 514663 595428 1029326 1047073 1190856 1543989 2058652 2094146 3087978 3141219 4117304 4188292 6175956 6282438 8376584 12351912 12564876 14925227 25129752 29850454 30365117 44775681 59700908 60730234 89551362 91095351 119401816 121460468 179102724 182190702 242920936 358205448 364381404 728762808 880588393 1761176786 2641765179 3522353572 5283530358 7044707144 10567060716 21134121432