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21312070400 = 285217195883
BaseRepresentation
bin10011110110010011…
…000110001100000000
32001000021102100110202
4103312103012030000
5322121342223100
613442435344332
71353063416015
oct236623061400
961007370422
1021312070400
119047120a25
1241694520a8
13201847a95a
14106266970c
1584b0427d5
hex4f64c6300

21312070400 has 108 divisors (see below), whose sum is σ = 55853971992. Its totient is φ = 8023326720.

The previous prime is 21312070399. The next prime is 21312070441. The reversal of 21312070400 is 407021312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10859 + ... + 206741.

Almost surely, 221312070400 is an apocalyptic number.

21312070400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27926985996).

21312070400 is an abundant number, since it is smaller than the sum of its proper divisors (34541901592).

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

21312070400 is a wasteful number, since it uses less digits than its factorization.

21312070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195926 (or 195907 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 21312070400 its reverse (407021312), we get a palindrome (21719091712).

The spelling of 21312070400 in words is "twenty-one billion, three hundred twelve million, seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 256 272 320 340 400 425 544 640 680 800 850 1088 1280 1360 1600 1700 2176 2720 3200 3400 4352 5440 6400 6800 10880 13600 21760 27200 54400 108800 195883 391766 783532 979415 1567064 1958830 3134128 3330011 3917660 4897075 6268256 6660022 7835320 9794150 12536512 13320044 15670640 16650055 19588300 25073024 26640088 31341280 33300110 39176600 50146048 53280176 62682560 66600220 78353200 83250275 106560352 125365120 133200440 156706400 166500550 213120704 250730240 266400880 313412800 333001100 426241408 532801760 626825600 666002200 852482816 1065603520 1253651200 1332004400 2131207040 2664008800 4262414080 5328017600 10656035200 21312070400