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21400124141220 = 22351147836779099
BaseRepresentation
bin1001101110110100110101…
…10011000010111010100100
32210202211110110001022212120
410313122122303002322210
510301104423240004340
6113303025321345540
74336052011611456
oct467323263027244
983684413038776
1021400124141220
1169008181a5480
1224975a23382b0
13bc303b834746
1453dab31402d6
152719edd684d0
hex13769acc2ea4

21400124141220 has 96 divisors (see below), whose sum is σ = 65381328230400. Its totient is φ = 5186823461760.

The previous prime is 21400124141191. The next prime is 21400124141267. The reversal of 21400124141220 is 2214142100412.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 232770 + ... + 6546329.

It is an arithmetic number, because the mean of its divisors is an integer number (681055502400).

Almost surely, 221400124141220 is an apocalyptic number.

21400124141220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21400124141220 is an abundant number, since it is smaller than the sum of its proper divisors (43981204089180).

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

21400124141220 is a wasteful number, since it uses less digits than its factorization.

21400124141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783905 (or 6783903 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 21400124141220 its reverse (2214142100412), we get a palindrome (23614266241632).

The spelling of 21400124141220 in words is "twenty-one trillion, four hundred billion, one hundred twenty-four million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4783 9566 14349 19132 23915 28698 47830 52613 57396 71745 95660 105226 143490 157839 210452 263065 286980 315678 526130 631356 789195 1052260 1578390 3156780 6779099 13558198 20337297 27116396 33895495 40674594 67790990 74570089 81349188 101686485 135581980 149140178 203372970 223710267 298280356 372850445 406745940 447420534 745700890 894841068 1118551335 1491401780 2237102670 4474205340 32424430517 64848861034 97273291551 129697722068 162122152585 194546583102 324244305170 356668735687 389093166204 486366457755 648488610340 713337471374 972732915510 1070006207061 1426674942748 1783343678435 1945465831020 2140012414122 3566687356870 4280024828244 5350031035305 7133374713740 10700062070610 21400124141220