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10323321012 = 223223372111597
BaseRepresentation
bin10011001110101000…
…10110000010110100
3222122110011001011200
421213110112002310
5132120232233022
64424212332500
7513551531544
oct114724260264
928573131150
1010323321012
114418277964
122001314130
13c86992194
146dd087324
15406476bac
hex2675160b4

10323321012 has 144 divisors (see below), whose sum is σ = 28115697792. Its totient is φ = 3185360640.

The previous prime is 10323321007. The next prime is 10323321089. The reversal of 10323321012 is 21012332301.

10323321012 is a `hidden beast` number, since 10 + 323 + 321 + 0 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6463398 + ... + 6464994.

Almost surely, 210323321012 is an apocalyptic number.

10323321012 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 10323321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057848896).

10323321012 is an abundant number, since it is smaller than the sum of its proper divisors (17792376780).

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

10323321012 is a wasteful number, since it uses less digits than its factorization.

10323321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10323321012 its reverse (21012332301), we get a palindrome (31335653313).

The spelling of 10323321012 in words is "ten billion, three hundred twenty-three million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 207 211 222 276 333 414 422 444 633 666 828 844 851 1266 1332 1597 1702 1899 2532 2553 3194 3404 3798 4791 4853 5106 6388 7596 7659 7807 9582 9706 10212 14373 14559 15318 15614 19164 19412 23421 28746 29118 30636 31228 36731 43677 46842 57492 58236 59089 70263 73462 87354 93684 110193 118178 140526 146924 174708 177267 179561 220386 236356 281052 330579 336967 354534 359122 440772 531801 538683 661158 673934 709068 718244 1010901 1063602 1077366 1322316 1347868 1359047 1616049 2021802 2127204 2154732 2718094 3032703 3232098 4043604 4077141 5436188 6065406 6464196 7750241 8154282 12130812 12231423 12467779 15500482 16308564 23250723 24462846 24935558 31000964 37403337 46501446 48925692 49871116 69752169 74806674 93002892 112210011 139504338 149613348 224420022 279008676 286758917 448840044 573517834 860276751 1147035668 1720553502 2580830253 3441107004 5161660506 10323321012