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23412242122000 = 245319360653477
BaseRepresentation
bin1010101001011000101100…
…11000000000010100010000
310001220012002102000101101121
411110230112120000110100
511032041232440401000
6121443234025012024
74634323120344544
oct524542630002420
9101805072011347
1023412242122000
11750709235a606
122761548624014
13100a9c37cb434
145ad23115da24
152a9015b1db1a
hex154b16600510

23412242122000 has 80 divisors (see below), whose sum is σ = 56904122603952. Its totient is φ = 9316373913600.

The previous prime is 23412242121977. The next prime is 23412242122013. The reversal of 23412242122000 is 22124221432.

It can be written as a sum of positive squares in 8 ways, for example, as 16566462916864 + 6845779205136 = 4070192^2 + 2616444^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29940739 + ... + 30712738.

Almost surely, 223412242122000 is an apocalyptic number.

23412242122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23412242122000 is an abundant number, since it is smaller than the sum of its proper divisors (33491880481952).

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

23412242122000 is a wasteful number, since it uses less digits than its factorization.

23412242122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60653693 (or 60653677 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 23412242122000 its reverse (22124221432), we get a palindrome (23434366343432).

The spelling of 23412242122000 in words is "twenty-three trillion, four hundred twelve billion, two hundred forty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 772 965 1000 1544 1930 2000 3088 3860 4825 7720 9650 15440 19300 24125 38600 48250 77200 96500 193000 386000 60653477 121306954 242613908 303267385 485227816 606534770 970455632 1213069540 1516336925 2426139080 3032673850 4852278160 6065347700 7581684625 11706121061 12130695400 15163369250 23412242122 24261390800 30326738500 46824484244 58530605305 60653477000 93648968488 117061210610 121306954000 187297936976 234122421220 292653026525 468244842440 585306053050 936489684880 1170612106100 1463265132625 2341224212200 2926530265250 4682448424400 5853060530500 11706121061000 23412242122000