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20221111300 = 22521329599091
BaseRepresentation
bin10010110101010001…
…011010110000000100
31221012020120212221011
4102311101122300010
5312403101030200
613142304332004
71314045416155
oct226521326004
957166525834
1020221111300
118637321235
123b04014004
131ba3444120
14d9b80192c
157d53955ba
hex4b545ac04

20221111300 has 144 divisors (see below), whose sum is σ = 49718692800. Its totient is φ = 7085836800.

The previous prime is 20221111289. The next prime is 20221111321. The reversal of 20221111300 is 311112202.

It is a super-3 number, since 3×202211113003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2219755 + ... + 2228845.

It is an arithmetic number, because the mean of its divisors is an integer number (345268700).

Almost surely, 220221111300 is an apocalyptic number.

20221111300 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 20221111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24859346400).

20221111300 is an abundant number, since it is smaller than the sum of its proper divisors (29497581500).

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

20221111300 is a wasteful number, since it uses less digits than its factorization.

20221111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9206 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 20221111300 its reverse (311112202), we get a palindrome (20532223502).

The spelling of 20221111300 in words is "twenty billion, two hundred twenty-one million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 59 65 100 116 118 130 145 236 260 290 295 325 377 580 590 650 725 754 767 1180 1300 1450 1475 1508 1534 1711 1885 2900 2950 3068 3422 3770 3835 5900 6844 7540 7670 8555 9091 9425 15340 17110 18182 18850 19175 22243 34220 36364 37700 38350 42775 44486 45455 76700 85550 88972 90910 111215 118183 171100 181820 222430 227275 236366 263639 444860 454550 472732 527278 536369 556075 590915 909100 1054556 1072738 1112150 1181830 1318195 2145476 2224300 2363660 2636390 2681845 2954575 3427307 5272780 5363690 5909150 6590975 6854614 6972797 10727380 11818300 13181950 13409225 13709228 13945594 15554701 17136535 26363900 26818450 27891188 31109402 34273070 34863985 53636900 62218804 68546140 69727970 77773505 85682675 139455940 155547010 171365350 174319925 202211113 311094020 342730700 348639850 388867525 404422226 697279700 777735050 808844452 1011055565 1555470100 2022111130 4044222260 5055277825 10110555650 20221111300