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21214025100024 = 2331879470419219
BaseRepresentation
bin1001101001011010001100…
…11011100010101011111000
32210010001002212212111222020
410310231012123202223320
510240032310411200044
6113041331045154440
74316443214063241
oct464550633425370
983101085774866
1021214025100024
1168398aa136389
1224675060bba20
13bab6214581a3
14534a9b313cc8
1526bc5aeb1a19
hex134b466e2af8

21214025100024 has 32 divisors (see below), whose sum is σ = 53063288016000. Its totient is φ = 7067578331232.

The previous prime is 21214025099999. The next prime is 21214025100029. The reversal of 21214025100024 is 42000152041212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21214025099967 and 21214025100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214025100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235164514 + ... + 235254705.

It is an arithmetic number, because the mean of its divisors is an integer number (1658227750500).

Almost surely, 221214025100024 is an apocalyptic number.

21214025100024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21214025100024 is an abundant number, since it is smaller than the sum of its proper divisors (31849262915976).

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

21214025100024 is a wasteful number, since it uses less digits than its factorization.

21214025100024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470421107 (or 470421103 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 21214025100024 its reverse (42000152041212), we get a palindrome (63214177141236).

The spelling of 21214025100024 in words is "twenty-one trillion, two hundred fourteen billion, twenty-five million, one hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1879 3758 5637 7516 11274 15032 22548 45096 470419219 940838438 1411257657 1881676876 2822515314 3763353752 5645030628 11290061256 883917712501 1767835425002 2651753137503 3535670850004 5303506275006 7071341700008 10607012550012 21214025100024