Search a number
-
+
20123030100 = 22352791515623
BaseRepresentation
bin10010101111011011…
…010001001001010100
31220221102000211211010
4102233123101021110
5312202443430400
613124442212220
71311444635145
oct225733211124
956842024733
1020123030100
118596a20398
123a971b4070
131b89022b04
14d8c78dacc
157cb96e450
hex4af6d1254

20123030100 has 144 divisors (see below), whose sum is σ = 59360645120. Its totient is φ = 5262192000.

The previous prime is 20123030099. The next prime is 20123030107. The reversal of 20123030100 is 103032102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123030107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3575889 + ... + 3581511.

Almost surely, 220123030100 is an apocalyptic number.

20123030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29680322560).

20123030100 is an abundant number, since it is smaller than the sum of its proper divisors (39237615020).

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

20123030100 is a wasteful number, since it uses less digits than its factorization.

20123030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5863 counting only the distinct ones).

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

Adding to 20123030100 its reverse (103032102), we get a palindrome (20226062202).

The spelling of 20123030100 in words is "twenty billion, one hundred twenty-three million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 151 158 237 300 302 316 395 453 474 604 755 790 906 948 1185 1510 1580 1812 1975 2265 2370 3020 3775 3950 4530 4740 5623 5925 7550 7900 9060 11246 11325 11850 11929 15100 16869 22492 22650 23700 23858 28115 33738 35787 45300 47716 56230 59645 67476 71574 84345 112460 119290 140575 143148 168690 178935 238580 281150 298225 337380 357870 421725 444217 562300 596450 715740 843450 849073 888434 894675 1192900 1332651 1686900 1698146 1776868 1789350 2221085 2547219 2665302 3396292 3578700 4245365 4442170 5094438 5330604 6663255 8490730 8884340 10188876 11105425 12736095 13326510 16981460 21226825 22210850 25472190 26653020 33316275 42453650 44421700 50944380 63680475 66632550 67076767 84907300 127360950 133265100 134153534 201230301 254721900 268307068 335383835 402460602 670767670 804921204 1006151505 1341535340 1676919175 2012303010 3353838350 4024606020 5030757525 6707676700 10061515050 20123030100