Search a number
-
+
21122266193520 = 24357317364710771
BaseRepresentation
bin1001100110101111010010…
…01011000101111001110000
32202210021021001022002201120
410303113221023011321300
510232031400121143040
6112531233553302240
74310014306203342
oct463275113057160
982707231262646
1021122266193520
1168039a2678858
122451778264980
13ba2a8a10333b
14530474999292
1526968a4e77d0
hex1335e92c5e70

21122266193520 has 320 divisors, whose sum is σ = 66869065534464. Its totient is φ = 5514284113920.

The previous prime is 21122266193519. The next prime is 21122266193549. The reversal of 21122266193520 is 2539166222112.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 1961025735 + ... + 1961036505.

Almost surely, 221122266193520 is an apocalyptic number.

21122266193520 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 21122266193520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33434532767232).

21122266193520 is an abundant number, since it is smaller than the sum of its proper divisors (45746799340944).

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

21122266193520 is a wasteful number, since it uses less digits than its factorization.

21122266193520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11680 (or 11674 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 21122266193520 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred sixty-six million, one hundred ninety-three thousand, five hundred twenty".