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20230002100 = 2252711321713
BaseRepresentation
bin10010110101110011…
…010101010110110100
31221012212022120211001
4102311303111112310
5312412340031400
613143223053044
71314214115650
oct226563252664
957185276731
1020230002100
118641344000
123b06ba1184
131ba5237b59
14d9ca77a60
157d604ea6a
hex4b5cd55b4

20230002100 has 144 divisors (see below), whose sum is σ = 55186217856. Its totient is φ = 6305164800.

The previous prime is 20230002077. The next prime is 20230002137. The reversal of 20230002100 is 120003202.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920844 + ... + 942556.

It is an arithmetic number, because the mean of its divisors is an integer number (383237624).

Almost surely, 220230002100 is an apocalyptic number.

20230002100 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 20230002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27593108928).

20230002100 is an abundant number, since it is smaller than the sum of its proper divisors (34956215756).

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

20230002100 is a wasteful number, since it uses less digits than its factorization.

20230002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21767 (or 21738 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20230002100 its reverse (120003202), we get a palindrome (20350005302).

The spelling of 20230002100 in words is "twenty billion, two hundred thirty million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 121 140 154 175 220 242 275 308 350 385 484 550 605 700 770 847 1100 1210 1331 1540 1694 1925 2420 2662 3025 3388 3850 4235 5324 6050 6655 7700 8470 9317 12100 13310 16940 18634 21175 21713 26620 33275 37268 42350 43426 46585 66550 84700 86852 93170 108565 133100 151991 186340 217130 232925 238843 303982 434260 465850 477686 542825 607964 759955 931700 955372 1085650 1194215 1519910 1671901 2171300 2388430 2627273 3039820 3343802 3799775 4776860 5254546 5971075 6687604 7599550 8359505 10509092 11942150 13136365 15199100 16719010 18390911 23884300 26272730 28900003 33438020 36781822 41797525 52545460 57800006 65681825 73563644 83595050 91954555 115600012 131363650 144500015 167190100 183909110 202300021 262727300 289000030 367818220 404600042 459772775 578000060 722500075 809200084 919545550 1011500105 1445000150 1839091100 2023000210 2890000300 4046000420 5057500525 10115001050 20230002100