Search a number
-
+
20012214300 = 223521331165527
BaseRepresentation
bin10010101000110100…
…100010100000011100
31220122200111211010020
4102220310202200130
5311441111324200
613105443112140
71305631005051
oct225064424034
956580454106
1020012214300
11853a411891
123a66072650
131b6c093330
14d7bb85028
157c1d7eea0
hex4a8d2281c

20012214300 has 144 divisors (see below), whose sum is σ = 64367880192. Its totient is φ = 4767148800.

The previous prime is 20012214293. The next prime is 20012214301. The reversal of 20012214300 is 341221002.

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 20012214300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012214301) 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, 38137 + ... + 203663.

It is an arithmetic number, because the mean of its divisors is an integer number (446999168).

Almost surely, 220012214300 is an apocalyptic number.

20012214300 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 20012214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32183940096).

20012214300 is an abundant number, since it is smaller than the sum of its proper divisors (44355665892).

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

20012214300 is a wasteful number, since it uses less digits than its factorization.

20012214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165588 (or 165581 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20012214300 its reverse (341221002), we get a palindrome (20353435302).

The spelling of 20012214300 in words is "twenty billion, twelve million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 31 39 50 52 60 62 65 75 78 93 100 124 130 150 155 156 186 195 260 300 310 325 372 390 403 465 620 650 775 780 806 930 975 1209 1300 1550 1612 1860 1950 2015 2325 2418 3100 3900 4030 4650 4836 6045 8060 9300 10075 12090 20150 24180 30225 40300 60450 120900 165527 331054 496581 662108 827635 993162 1655270 1986324 2151851 2482905 3310540 4138175 4303702 4965810 5131337 6455553 8276350 8607404 9931620 10262674 10759255 12414525 12911106 15394011 16552700 20525348 21518510 24829050 25656685 25822212 30788022 32277765 43037020 49658100 51313370 53796275 61576044 64555530 66707381 76970055 102626740 107592550 128283425 129111060 133414762 153940110 161388825 200122143 215185100 256566850 266829524 307880220 322777650 333536905 384850275 400244286 513133700 645555300 667073810 769700550 800488572 1000610715 1334147620 1539401100 1667684525 2001221430 3335369050 4002442860 5003053575 6670738100 10006107150 20012214300