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10103301032 = 2311731739091
BaseRepresentation
bin10010110100011010…
…00010001110101000
3222002010010212111112
421122031002032220
5131142421113112
64350312445452
7505240433066
oct113215021650
928063125445
1010103301032
114315060670
121b5b6a9888
13c50218646
146bbb73036
153e1eb5a22
hex25a3423a8

10103301032 has 64 divisors (see below), whose sum is σ = 21072346560. Its totient is φ = 4502822400.

The previous prime is 10103300953. The next prime is 10103301049. The reversal of 10103301032 is 23010330101.

It is a junction number, because it is equal to n+sod(n) for n = 10103300998 and 10103301016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106807 + ... + 1115897.

It is an arithmetic number, because the mean of its divisors is an integer number (329255415).

Almost surely, 210103301032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10536173280).

10103301032 is an abundant number, since it is smaller than the sum of its proper divisors (10969045528).

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

10103301032 is a wasteful number, since it uses less digits than its factorization.

10103301032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9354 (or 9350 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10103301032 its reverse (23010330101), we get a palindrome (33113631133).

The spelling of 10103301032 in words is "ten billion, one hundred three million, three hundred one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 73 88 146 173 292 346 584 692 803 1384 1606 1903 3212 3806 6424 7612 9091 12629 15224 18182 25258 36364 50516 72728 100001 101032 138919 200002 277838 400004 555676 663643 800008 1111352 1327286 1572743 2654572 3145486 5309144 6290972 7300073 12581944 14600146 17300173 29200292 34600346 58400584 69200692 114810239 138401384 229620478 459240956 918481912 1262912629 2525825258 5051650516 10103301032