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10022043312 = 2432616717029
BaseRepresentation
bin10010101010101110…
…00011111010110000
3221212110020112212100
421111113003322300
5131011120341222
64334251100400
7503232651111
oct112527037260
927773215770
1010022043312
114283200526
121b38441700
13c39437958
146b1060208
153d9cb44ac
hex2555c3eb0

10022043312 has 120 divisors (see below), whose sum is σ = 28934787440. Its totient is φ = 3236682240.

The previous prime is 10022043287. The next prime is 10022043349. The reversal of 10022043312 is 21334022001.

10022043312 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 433 + 12 = 666.

10022043312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580014 + ... + 597042.

Almost surely, 210022043312 is an apocalyptic number.

10022043312 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 10022043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467393720).

10022043312 is an abundant number, since it is smaller than the sum of its proper divisors (18912744128).

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

10022043312 is a wasteful number, since it uses less digits than its factorization.

10022043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17171 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10022043312 its reverse (21334022001), we get a palindrome (31356065313).

The spelling of 10022043312 in words is "ten billion, twenty-two million, forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 67 72 122 134 144 183 201 244 268 366 402 488 536 549 603 732 804 976 1072 1098 1206 1464 1608 2196 2412 2928 3216 4087 4392 4824 8174 8784 9648 12261 16348 17029 24522 32696 34058 36783 49044 51087 65392 68116 73566 98088 102174 136232 147132 153261 196176 204348 272464 294264 306522 408696 588528 613044 817392 1038769 1140943 1226088 2077538 2281886 2452176 3116307 3422829 4155076 4563772 6232614 6845658 8310152 9127544 9348921 10268487 12465228 13691316 16620304 18255088 18697842 20536974 24930456 27382632 37395684 41073948 49860912 54765264 69597523 74791368 82147896 139195046 149582736 164295792 208792569 278390092 417585138 556780184 626377707 835170276 1113560368 1252755414 1670340552 2505510828 3340681104 5011021656 10022043312