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23120000100 = 2234522854321
BaseRepresentation
bin10101100010000011…
…110011010001100100
32012200021100200210000
4111202003303101210
5334322210000400
614342101501300
71445635521051
oct254203632144
965607320700
1023120000100
1198947012aa
124592a11830
132245bb6142
141194808028
15904b15600
hex5620f3464

23120000100 has 90 divisors (see below), whose sum is σ = 74945932754. Its totient is φ = 6165331200.

The previous prime is 23120000093. The next prime is 23120000173. The reversal of 23120000100 is 100002132.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7801482276 + 15318517824 = 88326^2 + 123768^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1419061 + ... + 1435260.

Almost surely, 223120000100 is an apocalyptic number.

23120000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23120000100 is an abundant number, since it is smaller than the sum of its proper divisors (51825932654).

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

23120000100 is a wasteful number, since it uses less digits than its factorization.

23120000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854347 (or 2854331 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 23120000100 its reverse (100002132), we get a palindrome (23220002232).

The spelling of 23120000100 in words is "twenty-three billion, one hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 2854321 5708642 8562963 11417284 14271605 17125926 25688889 28543210 34251852 42814815 51377778 57086420 71358025 77066667 85629630 102755556 128444445 142716050 154133334 171259260 214074075 231200001 256888890 285432100 308266668 385333335 428148150 462400002 513777780 642222225 770666670 856296300 924800004 1156000005 1284444450 1541333340 1926666675 2312000010 2568888900 3853333350 4624000020 5780000025 7706666700 11560000050 23120000100