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10332431320 = 2354161179577
BaseRepresentation
bin10011001111101110…
…00110001111011000
3222200002021220011111
421213313012033120
5132130100300240
64425135510104
7514022134321
oct114767061730
928602256144
1010332431320
11442242a642
122004388334
13c88831ab3
14700379448
154071761ea
hex267dc63d8

10332431320 has 128 divisors (see below), whose sum is σ = 24382814400. Its totient is φ = 3937075200.

The previous prime is 10332431311. The next prime is 10332431321. The reversal of 10332431320 is 2313423301.

It is a junction number, because it is equal to n+sod(n) for n = 10332431291 and 10332431300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332431321) by changing a digit.

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, 17906872 + ... + 17907448.

Almost surely, 210332431320 is an apocalyptic number.

10332431320 is a gapful number since it is divisible by the number (10) 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 10332431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191407200).

10332431320 is an abundant number, since it is smaller than the sum of its proper divisors (14050383080).

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

10332431320 is a wasteful number, since it uses less digits than its factorization.

10332431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10332431320 its reverse (2313423301), we get a palindrome (12645854621).

The spelling of 10332431320 in words is "ten billion, three hundred thirty-two million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 179 205 244 305 328 358 410 488 577 610 716 820 895 1154 1220 1432 1640 1790 2308 2440 2501 2885 3580 4616 5002 5770 7160 7339 10004 10919 11540 12505 14678 20008 21838 23080 23657 25010 29356 35197 36695 43676 47314 50020 54595 58712 70394 73390 87352 94628 100040 103283 109190 118285 140788 146780 175985 189256 206566 218380 236570 281576 293560 351970 413132 436760 447679 473140 516415 703940 826264 895358 946280 1032830 1407880 1443077 1790716 2065660 2238395 2886154 3581432 4131320 4234603 4476790 5772308 6300263 7215385 8469206 8953580 11544616 12600526 14430770 16938412 17907160 21173015 25201052 28861540 31501315 33876824 42346030 50402104 57723080 63002630 84692060 126005260 169384120 252010520 258310783 516621566 1033243132 1291553915 2066486264 2583107830 5166215660 10332431320