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20002311100 = 22522383104779
BaseRepresentation
bin10010101000001110…
…110000101110111100
31220121222212200111001
4102220032300232330
5311431042423400
613104450540044
71305450560542
oct225016605674
956558780431
1020002311100
118534868422
123a62897624
131b6a006855
14d7a727d92
157c1075a6a
hex4a83b0bbc

20002311100 has 72 divisors (see below), whose sum is σ = 45838316160. Its totient is φ = 7560780480.

The previous prime is 20002311097. The next prime is 20002311107. The reversal of 20002311100 is 111320002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002311107) 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 23 ways as a sum of consecutive naturals, for example, 138511 + ... + 243289.

It is an arithmetic number, because the mean of its divisors is an integer number (636643280).

Almost surely, 220002311100 is an apocalyptic number.

20002311100 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 20002311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22919158080).

20002311100 is an abundant number, since it is smaller than the sum of its proper divisors (25836005060).

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

20002311100 is a wasteful number, since it uses less digits than its factorization.

20002311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104899 (or 104892 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20002311100 its reverse (111320002), we get a palindrome (20113631102).

The spelling of 20002311100 in words is "twenty billion, two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 83 92 100 115 166 230 332 415 460 575 830 1150 1660 1909 2075 2300 3818 4150 7636 8300 9545 19090 38180 47725 95450 104779 190900 209558 419116 523895 1047790 2095580 2409917 2619475 4819834 5238950 8696657 9639668 10477900 12049585 17393314 24099170 34786628 43483285 48198340 60247925 86966570 120495850 173933140 200023111 217416425 240991700 400046222 434832850 800092444 869665700 1000115555 2000231110 4000462220 5000577775 10001155550 20002311100