Search a number
-
+
20313113100 = 22352733728703
BaseRepresentation
bin10010111010110000…
…011000001000001100
31221102122201001200020
4102322300120020030
5313100124104400
613155352302140
71316243420040
oct227260301014
957378631606
1020313113100
11868424a585
123b2a9a1950
131bb9517267
14da9b10020
157dd4ba2a0
hex4bac1820c

20313113100 has 144 divisors (see below), whose sum is σ = 67370354688. Its totient is φ = 4629058560.

The previous prime is 20313113099. The next prime is 20313113101. The reversal of 20313113100 is 131131302.

It is an interprime number because it is at equal distance from previous prime (20313113099) and next prime (20313113101).

It is a super-2 number, since 2×203131131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20313113100.

It is not an unprimeable number, because it can be changed into a prime (20313113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693349 + ... + 722051.

Almost surely, 220313113100 is an apocalyptic number.

20313113100 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 20313113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33685177344).

20313113100 is an abundant number, since it is smaller than the sum of its proper divisors (47057241588).

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

20313113100 is a wasteful number, since it uses less digits than its factorization.

20313113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29064 (or 29057 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 20313113100 its reverse (131131302), we get a palindrome (20444244402).

The spelling of 20313113100 in words is "twenty billion, three hundred thirteen million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 337 350 420 525 674 700 1011 1050 1348 1685 2022 2100 2359 3370 4044 4718 5055 6740 7077 8425 9436 10110 11795 14154 16850 20220 23590 25275 28308 28703 33700 35385 47180 50550 57406 58975 70770 86109 101100 114812 117950 141540 143515 172218 176925 200921 235900 287030 344436 353850 401842 430545 574060 602763 707700 717575 803684 861090 1004605 1205526 1435150 1722180 2009210 2152725 2411052 2870300 3013815 4018420 4305450 5023025 6027630 8610900 9672911 10046050 12055260 15069075 19345822 20092100 29018733 30138150 38691644 48364555 58037466 60276300 67710377 96729110 116074932 135420754 145093665 193458220 203131131 241822775 270841508 290187330 338551885 406262262 483645550 580374660 677103770 725468325 812524524 967291100 1015655655 1354207540 1450936650 1692759425 2031311310 2901873300 3385518850 4062622620 5078278275 6771037700 10156556550 20313113100