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100031002320 = 24351940321481
BaseRepresentation
bin101110100101001001…
…1111111011011010000
3100120012022222102102210
41131022103333123100
53114330414033240
6113541551312120
710140601330164
oct1351223773320
9316168872383
10100031002320
1139471990657
121747821b640
139582075a02
144bad210ca4
152906d10780
hex174a4ff6d0

100031002320 has 80 divisors (see below), whose sum is σ = 310126525632. Its totient is φ = 26672317440.

The previous prime is 100031002307. The next prime is 100031002327. The reversal of 100031002320 is 23200130001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100031002296 and 100031002305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031002327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4645980 + ... + 4667460.

Almost surely, 2100031002320 is an apocalyptic number.

100031002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031002320 is an abundant number, since it is smaller than the sum of its proper divisors (210095523312).

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

100031002320 is a wasteful number, since it uses less digits than its factorization.

100031002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40900 (or 40894 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100031002320 its reverse (23200130001), we get a palindrome (123231132321).

The spelling of 100031002320 in words is "one hundred billion, thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 19403 21481 38806 42962 58209 64443 77612 85924 97015 107405 116418 128886 155224 171848 194030 214810 232836 257772 291045 310448 322215 343696 388060 429620 465672 515544 582090 644430 776120 859240 931344 1031088 1164180 1288860 1552240 1718480 2328360 2577720 4656720 5155440 416795843 833591686 1250387529 1667183372 2083979215 2500775058 3334366744 4167958430 5001550116 6251937645 6668733488 8335916860 10003100232 12503875290 16671833720 20006200464 25007750580 33343667440 50015501160 100031002320