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10113032130312 = 233231311371020823
BaseRepresentation
bin1001001100101001111110…
…1100000000111100001000
31022210210111121010102001010
42103022133230000330020
52311142442211132222
633301510211523520
72062433235530646
oct223123754007410
938723447112033
1010113032130312
113249a04a9a551
121173b81bb95a0
135848688a9477
1426d68acc0196
151280e332980c
hex9329fb00f08

10113032130312 has 128 divisors (see below), whose sum is σ = 26777275176960. Its totient is φ = 3176471400960.

The previous prime is 10113032130281. The next prime is 10113032130323. The reversal of 10113032130312 is 21303123031101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9396333 + ... + 10417155.

It is an arithmetic number, because the mean of its divisors is an integer number (209197462320).

Almost surely, 210113032130312 is an apocalyptic number.

10113032130312 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 10113032130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388637588480).

10113032130312 is an abundant number, since it is smaller than the sum of its proper divisors (16664243046648).

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

10113032130312 is a wasteful number, since it uses less digits than its factorization.

10113032130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021123 (or 1021119 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10113032130312 its reverse (21303123031101), we get a palindrome (31416155161413).

The spelling of 10113032130312 in words is "ten trillion, one hundred thirteen billion, thirty-two million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 131 137 138 184 262 274 276 393 411 524 548 552 786 822 1048 1096 1572 1644 3013 3144 3151 3288 6026 6302 9039 9453 12052 12604 17947 18078 18906 24104 25208 35894 36156 37812 53841 71788 72312 75624 107682 143576 215364 412781 430728 825562 1020823 1238343 1651124 2041646 2476686 3062469 3302248 4083292 4953372 6124938 8166584 9906744 12249876 23478929 24499752 46957858 70436787 93915716 133727813 139852751 140873574 187831432 267455626 279705502 281747148 401183439 419558253 534911252 559411004 563494296 802366878 839116506 1069822504 1118822008 1604733756 1678233012 3075739699 3209467512 3216613273 3356466024 6151479398 6433226546 9227219097 9649839819 12302958796 12866453092 18320710381 18454438194 19299679638 24605917592 25732906184 36641420762 36908876388 38599359276 54962131143 73282841524 73817752776 77198718552 109924262286 146565683048 219848524572 421376338763 439697049144 842752677526 1264129016289 1685505355052 2528258032578 3371010710104 5056516065156 10113032130312