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20032013100 = 22352116070307
BaseRepresentation
bin10010101010000000…
…000100001100101100
31220201001202200222010
4102222000010030230
5312011143404400
613111431321220
71306261205361
oct225200041454
956631680863
1020032013100
11854a604a30
123a70820210
131b73205cb8
14d8065a468
157c3991450
hex4aa00432c

20032013100 has 72 divisors (see below), whose sum is σ = 63228328128. Its totient is φ = 4856244800.

The previous prime is 20032013011. The next prime is 20032013123. The reversal of 20032013100 is 131023002.

It is a happy number.

It is a super-2 number, since 2×200320131002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3031854 + ... + 3038453.

It is an arithmetic number, because the mean of its divisors is an integer number (878171224).

Almost surely, 220032013100 is an apocalyptic number.

20032013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20032013100 is an abundant number, since it is smaller than the sum of its proper divisors (43196315028).

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

20032013100 is a wasteful number, since it uses less digits than its factorization.

20032013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070335 (or 6070328 counting only the distinct ones).

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

Adding to 20032013100 its reverse (131023002), we get a palindrome (20163036102).

The spelling of 20032013100 in words is "twenty billion, thirty-two million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6070307 12140614 18210921 24281228 30351535 36421842 60703070 66773377 72843684 91054605 121406140 133546754 151757675 182109210 200320131 267093508 303515350 333866885 364218420 400640262 455273025 607030700 667733770 801280524 910546050 1001600655 1335467540 1669334425 1821092100 2003201310 3338668850 4006402620 5008003275 6677337700 10016006550 20032013100