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21211312000 = 27531325707
BaseRepresentation
bin10011110000010010…
…101110111110000000
32000202020211021221011
4103300102232332000
5321420043441000
613424440010304
71350431114524
oct236022567600
960666737834
1021211312000
118aa526171a
12413b760994
13200062cbb8
14105311bd84
1584228d2ba
hex4f04aef80

21211312000 has 64 divisors (see below), whose sum is σ = 52736664240. Its totient is φ = 8484518400.

The previous prime is 21211311971. The next prime is 21211312021. The reversal of 21211312000 is 21311212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×212113120002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646854 + ... + 678853.

Almost surely, 221211312000 is an apocalyptic number.

21211312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211312000 is an abundant number, since it is smaller than the sum of its proper divisors (31525352240).

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

21211312000 is an equidigital number, since it uses as much as digits as its factorization.

21211312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325736 (or 1325714 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21211312000 its reverse (21311212), we get a palindrome (21232623212).

The spelling of 21211312000 in words is "twenty-one billion, two hundred eleven million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 1325707 2651414 5302828 6628535 10605656 13257070 21211312 26514140 33142675 42422624 53028280 66285350 84845248 106056560 132570700 165713375 169690496 212113120 265141400 331426750 424226240 530282800 662853500 848452480 1060565600 1325707000 2121131200 2651414000 4242262400 5302828000 10605656000 21211312000