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10020323130 = 2353110998849
BaseRepresentation
bin10010101010100000…
…11111111100111010
3221212100000011012220
421111100133330322
5131010200320010
64334150144510
7503212225026
oct112520377472
927770004186
1010020323130
114282236094
121b37952136
13c38c849ac
146b0b33386
153d9a74970
hex25541ff3a

10020323130 has 64 divisors (see below), whose sum is σ = 25052544000. Its totient is φ = 2562140160.

The previous prime is 10020323111. The next prime is 10020323149. The reversal of 10020323130 is 3132302001.

It is an interprime number because it is at equal distance from previous prime (10020323111) and next prime (10020323149).

It is a super-3 number, since 3×100203231303 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 51946 + ... + 150794.

It is an arithmetic number, because the mean of its divisors is an integer number (391446000).

Almost surely, 210020323130 is an apocalyptic number.

10020323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12526272000).

10020323130 is an abundant number, since it is smaller than the sum of its proper divisors (15032220870).

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

10020323130 is a wasteful number, since it uses less digits than its factorization.

10020323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98999.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10020323130 its reverse (3132302001), we get a palindrome (13152625131).

The spelling of 10020323130 in words is "ten billion, twenty million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 109 155 186 218 310 327 465 545 654 930 1090 1635 3270 3379 6758 10137 16895 20274 33790 50685 98849 101370 197698 296547 494245 593094 988490 1482735 2965470 3064319 6128638 9192957 10774541 15321595 18385914 21549082 30643190 32323623 45964785 53872705 64647246 91929570 107745410 161618115 323236230 334010771 668021542 1002032313 1670053855 2004064626 3340107710 5010161565 10020323130