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23232020100 = 22352194786719
BaseRepresentation
bin10101101000101111…
…000111111010000100
32012222002010220022220
4111220233013322010
5340034344120400
614401142452340
71451465625012
oct255057077204
965862126286
1023232020100
119941962613
1246044340b0
132263177a73
1411a56478b2
1590e8917a0
hex568bc7e84

23232020100 has 144 divisors (see below), whose sum is σ = 72262041600. Its totient is φ = 5744200320.

The previous prime is 23232020059. The next prime is 23232020107. The reversal of 23232020100 is 102023232.

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 23232020100.

It is not an unprimeable number, because it can be changed into a prime (23232020107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224541 + ... + 311259.

Almost surely, 223232020100 is an apocalyptic number.

23232020100 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 23232020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36131020800).

23232020100 is an abundant number, since it is smaller than the sum of its proper divisors (49030021500).

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

23232020100 is a wasteful number, since it uses less digits than its factorization.

23232020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86802 (or 86795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23232020100 its reverse (102023232), we get a palindrome (23334043332).

The spelling of 23232020100 in words is "twenty-three billion, two hundred thirty-two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 47 50 57 60 75 76 94 95 100 114 141 150 188 190 228 235 282 285 300 380 470 475 564 570 705 893 940 950 1140 1175 1410 1425 1786 1900 2350 2679 2820 2850 3525 3572 4465 4700 5358 5700 7050 8930 10716 13395 14100 17860 22325 26790 44650 53580 66975 86719 89300 133950 173438 260157 267900 346876 433595 520314 867190 1040628 1300785 1647661 1734380 2167975 2601570 3295322 4075793 4335950 4942983 5203140 6503925 6590644 8151586 8238305 8671900 9885966 12227379 13007850 16303172 16476610 19771932 20378965 24454758 24714915 26015700 32953220 40757930 41191525 48909516 49429830 61136895 77440067 81515860 82383050 98859660 101894825 122273790 123574575 154880134 164766100 203789650 232320201 244547580 247149150 305684475 309760268 387200335 407579300 464640402 494298300 611368950 774400670 929280804 1161601005 1222737900 1548801340 1936001675 2323202010 3872003350 4646404020 5808005025 7744006700 11616010050 23232020100