Search a number
-
+
2331000100 = 22521113212539
BaseRepresentation
bin1000101011110000…
…0011110100100100
320000110012002000001
42022330003310210
514233214000400
61023145231044
7111523113442
oct21274036444
96013162001
102331000100
11a96874970
12550792484
132b1c0a400
1418181bb92
15d9996a6a
hex8af03d24

2331000100 has 108 divisors (see below), whose sum is σ = 5975711280. Its totient is φ = 782371200.

The previous prime is 2331000083. The next prime is 2331000127. The reversal of 2331000100 is 10001332.

It is a super-2 number, since 2×23310001002 = 10867122932400020000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 179631 + ... + 192169.

It is an arithmetic number, because the mean of its divisors is an integer number (55330660).

Almost surely, 22331000100 is an apocalyptic number.

2331000100 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 2331000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987855640).

2331000100 is an abundant number, since it is smaller than the sum of its proper divisors (3644711180).

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

2331000100 is a wasteful number, since it uses less digits than its factorization.

2331000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12590 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2331000100 is about 48280.4318539095. The cubic root of 2331000100 is about 1325.9101566707.

Adding to 2331000100 its reverse (10001332), we get a palindrome (2341001432).

The spelling of 2331000100 in words is "two billion, three hundred thirty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 169 220 260 275 286 325 338 550 572 650 676 715 845 1100 1300 1430 1690 1859 2860 3380 3575 3718 4225 7150 7436 8450 9295 12539 14300 16900 18590 25078 37180 46475 50156 62695 92950 125390 137929 163007 185900 250780 275858 313475 326014 551716 626950 652028 689645 815035 1253900 1379290 1630070 1793077 2119091 2758580 3260140 3448225 3586154 4075175 4238182 6896450 7172308 8150350 8476364 8965385 10595455 13792900 16300700 17930770 21190910 23310001 35861540 42381820 44826925 46620002 52977275 89653850 93240004 105954550 116550005 179307700 211909100 233100010 466200020 582750025 1165500050 2331000100