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23022102001200 = 2435219185085001
BaseRepresentation
bin1010011110000010000000…
…01101100011011000110000
310000111220001212112202220220
411033001000031203120300
511004143231103014300
6120544112504133040
74564202102133201
oct517010015433060
9100456055482826
1023022102001200
117376689438405
1226b9a07467180
13cacc89b2a253
145983c06875a8
1529dcceb55da0
hex14f040363630

23022102001200 has 60 divisors (see below), whose sum is σ = 73747466747688. Its totient is φ = 6139227200000.

The previous prime is 23022102001177. The next prime is 23022102001229. The reversal of 23022102001200 is 210020122032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 23022102001200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9592541301 + ... + 9592543700.

Almost surely, 223022102001200 is an apocalyptic number.

23022102001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23022102001200 is an abundant number, since it is smaller than the sum of its proper divisors (50725364746488).

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

23022102001200 is a wasteful number, since it uses less digits than its factorization.

23022102001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19185085022 (or 19185085011 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 23022102001200 its reverse (210020122032), we get a palindrome (23232122123232).

The spelling of 23022102001200 in words is "twenty-three trillion, twenty-two billion, one hundred two million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 19185085001 38370170002 57555255003 76740340004 95925425005 115110510006 153480680008 191850850010 230221020012 287776275015 306961360016 383701700020 460442040024 479627125025 575552550030 767403400040 920884080048 959254250050 1151105100060 1438881375075 1534806800080 1918508500100 2302210200120 2877762750150 3837017000200 4604420400240 5755525500300 7674034000400 11511051000600 23022102001200