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103301302332 = 223178346313177
BaseRepresentation
bin110000000110100111…
…1001100100000111100
3100212122020121212200110
41200031033030200330
53143030113133312
6115242253230020
710314621403434
oct1401517144074
9325566555613
10103301302332
113a89a98a438
121802b492310
139983759787
144ddd6992c4
152a48e9843c
hex180d3cc83c

103301302332 has 96 divisors (see below), whose sum is σ = 258867366912. Its totient is φ = 31946213376.

The previous prime is 103301302297. The next prime is 103301302339. The reversal of 103301302332 is 233203103301.

It is a junction number, because it is equal to n+sod(n) for n = 103301302299 and 103301302308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103301302339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7832928 + ... + 7846104.

It is an arithmetic number, because the mean of its divisors is an integer number (2696535072).

Almost surely, 2103301302332 is an apocalyptic number.

103301302332 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 103301302332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129433683456).

103301302332 is an abundant number, since it is smaller than the sum of its proper divisors (155566064580).

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

103301302332 is a wasteful number, since it uses less digits than its factorization.

103301302332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13747 (or 13745 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 103301302332 its reverse (233203103301), we get a palindrome (336504405633).

The spelling of 103301302332 in words is "one hundred three billion, three hundred one million, three hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 463 498 926 996 1389 1411 1852 2778 2822 4233 5556 5644 7871 8466 13177 15742 16932 23613 26354 31484 38429 39531 47226 52708 76858 79062 94452 115287 153716 158124 224009 230574 448018 461148 653293 672027 896036 1093691 1306586 1344054 1959879 2187382 2613172 2688108 3281073 3919758 4374764 6100951 6562146 7839516 12201902 13124292 18302853 18592747 24403804 36605706 37185494 55778241 73211412 74370988 103716167 111556482 207432334 223112964 311148501 414864668 506378933 622297002 1012757866 1244594004 1519136799 2025515732 3038273598 6076547196 8608441861 17216883722 25825325583 34433767444 51650651166 103301302332