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103002311022 = 231314927673203
BaseRepresentation
bin101111111101101101…
…0101000100101101110
3100211212102000112201020
41133323122220211232
53141422042423042
6115152452555010
710304331124602
oct1377332504556
9324772015636
10103002311022
113a757134886
1217b67322a66
139936822b40
144db1aa9502
152a2cad83ec
hex17fb6a896e

103002311022 has 64 divisors (see below), whose sum is σ = 223490534400. Its totient is φ = 31459112064.

The previous prime is 103002311021. The next prime is 103002311033. The reversal of 103002311022 is 220113200301.

It is a junction number, because it is equal to n+sod(n) for n = 103002310992 and 103002311010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002311021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32156473 + ... + 32159675.

It is an arithmetic number, because the mean of its divisors is an integer number (3492039600).

Almost surely, 2103002311022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103002311022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111745267200).

103002311022 is an abundant number, since it is smaller than the sum of its proper divisors (120488223378).

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

103002311022 is a wasteful number, since it uses less digits than its factorization.

103002311022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103002311022 its reverse (220113200301), we get a palindrome (323115511323).

The spelling of 103002311022 in words is "one hundred three billion, two million, three hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 149 298 447 894 1937 2767 3203 3874 5534 5811 6406 8301 9609 11622 16602 19218 35971 41639 71942 83278 107913 124917 215826 249834 412283 477247 824566 954494 1236849 1431741 2473698 2863482 5359679 6204211 8862701 10719358 12408422 16079037 17725402 18612633 26588103 32158074 37225266 53176206 115215113 230430226 345645339 691290678 1320542449 2641084898 3961627347 7923254694 17167051837 34334103674 51501155511 103002311022