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13321110420 = 22335212911587
BaseRepresentation
bin11000110100000000…
…00000001110010100
31021101101000112011000
430122000000032110
5204240201013140
610041501343300
7651052366422
oct143200001624
937341015130
1013321110420
115716468472
1226b9267b30
131343a81477
14905276112
1552e730a30
hex31a000394

13321110420 has 96 divisors (see below), whose sum is σ = 41466499200. Its totient is φ = 3550321152.

The previous prime is 13321110401. The next prime is 13321110421. The reversal of 13321110420 is 2401112331.

13321110420 is a `hidden beast` number, since 1 + 33 + 211 + 1 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13321110393 and 13321110402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321110421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143867 + ... + 1155453.

It is an arithmetic number, because the mean of its divisors is an integer number (431942700).

Almost surely, 213321110420 is an apocalyptic number.

13321110420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321110420 is an abundant number, since it is smaller than the sum of its proper divisors (28145388780).

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

13321110420 is a wasteful number, since it uses less digits than its factorization.

13321110420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13734 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13321110420 its reverse (2401112331), we get a palindrome (15722222751).

The spelling of 13321110420 in words is "thirteen billion, three hundred twenty-one million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2129 4258 6387 8516 10645 11587 12774 19161 21290 23174 25548 31935 34761 38322 42580 46348 57483 57935 63870 69522 76644 95805 104283 114966 115870 127740 139044 173805 191610 208566 229932 231740 287415 312849 347610 383220 417132 521415 574830 625698 695220 1042830 1149660 1251396 1564245 2085660 3128490 6256980 24668723 49337446 74006169 98674892 123343615 148012338 222018507 246687230 296024676 370030845 444037014 493374460 666055521 740061690 888074028 1110092535 1332111042 1480123380 2220185070 2664222084 3330277605 4440370140 6660555210 13321110420