Search a number
-
+
21123013110000 = 24354704100437
BaseRepresentation
bin1001100110110000101011…
…01100010110100011110000
32202210100012002202101111220
410303120111230112203300
510232034412324010000
6112531440034305040
74310041645660404
oct463302554264360
982710162671456
1021123013110000
1168042462521aa
122451946428180
13ba2b78a8b459
14530505c67104
152696d0d861a0
hex133615b168f0

21123013110000 has 100 divisors (see below), whose sum is σ = 68187902817672. Its totient is φ = 5632803488000.

The previous prime is 21123013109993. The next prime is 21123013110007. The reversal of 21123013110000 is 1131032112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21123013109993) and next prime (21123013110007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123013110007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352020219 + ... + 352080218.

Almost surely, 221123013110000 is an apocalyptic number.

21123013110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21123013110000 is an abundant number, since it is smaller than the sum of its proper divisors (47064889707672).

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

21123013110000 is an equidigital number, since it uses as much as digits as its factorization.

21123013110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704100468 (or 704100447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21123013110000 its reverse (1131032112), we get a palindrome (21124144142112).

The spelling of 21123013110000 in words is "twenty-one trillion, one hundred twenty-three billion, thirteen million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 704100437 1408200874 2112301311 2816401748 3520502185 4224602622 5632803496 7041004370 8449205244 10561506555 11265606992 14082008740 16898410488 17602510925 21123013110 28164017480 33796820976 35205021850 42246026220 52807532775 56328034960 70410043700 84492052440 88012554625 105615065550 140820087400 168984104880 176025109250 211230131100 264037663875 281640174800 352050218500 422460262200 440062773125 528075327750 704100437000 844920524400 880125546250 1056150655500 1320188319375 1408200874000 1760251092500 2112301311000 2640376638750 3520502185000 4224602622000 5280753277500 7041004370000 10561506555000 21123013110000