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103322113002 = 2348919936011
BaseRepresentation
bin110000000111001111…
…0100101001111101010
3100212200200210011120000
41200032132211033222
53143100430104002
6115244315243430
710315263320103
oct1401636451752
9325620704500
10103322113002
113a900703839
1218036449576
139987b64b94
1450023553aa
152a4ac0961c
hex180e7a53ea

103322113002 has 80 divisors (see below), whose sum is σ = 235302408000. Its totient is φ = 33881664960.

The previous prime is 103322112983. The next prime is 103322113051. The reversal of 103322113002 is 200311223301.

103322113002 is a `hidden beast` number, since 10 + 332 + 21 + 1 + 300 + 2 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 2851177 + ... + 2887187.

It is an arithmetic number, because the mean of its divisors is an integer number (2941280100).

Almost surely, 2103322113002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103322113002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117651204000).

103322113002 is an abundant number, since it is smaller than the sum of its proper divisors (131980294998).

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

103322113002 is a wasteful number, since it uses less digits than its factorization.

103322113002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36313 (or 36304 counting only the distinct ones).

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

Adding to 103322113002 its reverse (200311223301), we get a palindrome (303633336303).

The spelling of 103322113002 in words is "one hundred three billion, three hundred twenty-two million, one hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 199 267 398 534 597 801 1194 1602 1791 2403 3582 4806 5373 7209 10746 14418 16119 17711 32238 35422 36011 53133 72022 106266 108033 159399 216066 318798 324099 478197 648198 956394 972297 1434591 1944594 2869182 2916891 3204979 5833782 6409958 7166189 9614937 14332378 19229874 21498567 28844811 42997134 57689622 64495701 86534433 128991402 173068866 193487103 259603299 386974206 519206598 580461309 637790821 1160922618 1275581642 1913372463 3826744926 5740117389 11480234778 17220352167 34440704334 51661056501 103322113002