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10422001332 = 223243101191349
BaseRepresentation
bin10011011010011001…
…10001111010110100
3222220022211112010100
421231030301322310
5132321013020312
64442055354100
7516160356351
oct115514617264
928808745110
1010422001332
114468a47946
12202a382930
13ca12630c2
1470c213628
1540ee6a5dc
hex26d331eb4

10422001332 has 144 divisors (see below), whose sum is σ = 27445017600. Its totient is φ = 3332448000.

The previous prime is 10422001327. The next prime is 10422001333. The reversal of 10422001332 is 23310022401.

It is a super-2 number, since 2×104220013322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422001333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29862294 + ... + 29862642.

It is an arithmetic number, because the mean of its divisors is an integer number (190590400).

Almost surely, 210422001332 is an apocalyptic number.

10422001332 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 10422001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722508800).

10422001332 is an abundant number, since it is smaller than the sum of its proper divisors (17023016268).

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

10422001332 is a wasteful number, since it uses less digits than its factorization.

10422001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 689 counting only the distinct ones).

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

Adding to 10422001332 its reverse (23310022401), we get a palindrome (33732023733).

The spelling of 10422001332 in words is "ten billion, four hundred twenty-two million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 101 129 172 191 202 258 303 349 382 387 404 516 573 606 698 764 774 909 1047 1146 1212 1396 1548 1719 1818 2094 2292 3141 3438 3636 4188 4343 6282 6876 8213 8686 12564 13029 15007 16426 17372 19291 24639 26058 30014 32852 35249 38582 39087 45021 49278 52116 57873 60028 66659 70498 73917 77164 78174 90042 98556 105747 115746 133318 135063 140996 147834 156348 173619 180084 199977 211494 231492 266636 270126 295668 317241 347238 399954 422988 540252 599931 634482 694476 799908 829513 1199862 1268964 1515707 1659026 2399724 2488539 2866337 3031414 3318052 4547121 4977078 5732674 6062828 6732559 7465617 8599011 9094242 9954156 11465348 13465118 13641363 14931234 17198022 18188484 20197677 25797033 26930236 27282726 29862468 34396044 40395354 51594066 54565452 60593031 80790708 103188132 121186062 242372124 289500037 579000074 868500111 1158000148 1737000222 2605500333 3474000444 5211000666 10422001332