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23011000100 = 225211147114221
BaseRepresentation
bin10101011011100011…
…111111111100100100
32012101200020220212222
4111123203333330210
5334111304000400
614323205331512
71443143162564
oct253343777444
965350226788
1023011000100
119839122a60
124562406b98
132229440cba
141184152da4
158ea284185
hex55b8fff24

23011000100 has 72 divisors (see below), whose sum is σ = 54514177536. Its totient is φ = 8361360000.

The previous prime is 23011000099. The next prime is 23011000153. The reversal of 23011000100 is 100011032.

It is a super-2 number, since 2×230110001002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1610990 + ... + 1625210.

Almost surely, 223011000100 is an apocalyptic number.

23011000100 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 23011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27257088768).

23011000100 is an abundant number, since it is smaller than the sum of its proper divisors (31503177436).

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

23011000100 is a wasteful number, since it uses less digits than its factorization.

23011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15717 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 23011000100 its reverse (100011032), we get a palindrome (23111011132).

The spelling of 23011000100 in words is "twenty-three billion, eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1471 2942 5884 7355 14221 14710 16181 28442 29420 32362 36775 56884 64724 71105 73550 80905 142210 147100 156431 161810 284420 312862 323620 355525 404525 625724 711050 782155 809050 1422100 1564310 1618100 3128620 3910775 7821550 15643100 20919091 41838182 83676364 104595455 209190910 230110001 418381820 460220002 522977275 920440004 1045954550 1150550005 2091909100 2301100010 4602200020 5752750025 11505500050 23011000100