Search a number
-
+
33421022112 = 25313922910937
BaseRepresentation
bin11111001000000011…
…000101001110100000
310012021011112211110210
4133020003011032200
51021421240201422
623204200254120
72262130000152
oct371003051640
9105234484423
1033421022112
11131a0328635
126588771340
1331c806b63a
141890928ad2
15d0913510c
hex7c80c53a0

33421022112 has 96 divisors (see below), whose sum is σ = 88755307200. Its totient is φ = 11010889728.

The previous prime is 33421022099. The next prime is 33421022123. The reversal of 33421022112 is 21122012433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×334210221122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3050308 + ... + 3061244.

It is an arithmetic number, because the mean of its divisors is an integer number (924534450).

Almost surely, 233421022112 is an apocalyptic number.

33421022112 is a gapful number since it is divisible by the number (32) 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 33421022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44377653600).

33421022112 is an abundant number, since it is smaller than the sum of its proper divisors (55334285088).

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

33421022112 is a wasteful number, since it uses less digits than its factorization.

33421022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318 (or 11310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 33421022112 its reverse (21122012433), we get a palindrome (54543034545).

The spelling of 33421022112 in words is "thirty-three billion, four hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 229 278 417 458 556 687 834 916 1112 1374 1668 1832 2224 2748 3336 3664 4448 5496 6672 7328 10937 10992 13344 21874 21984 31831 32811 43748 63662 65622 87496 95493 127324 131244 174992 190986 254648 262488 349984 381972 509296 524976 763944 1018592 1049952 1520243 1527888 2504573 3040486 3055776 4560729 5009146 6080972 7513719 9121458 10018292 12161944 15027438 18242916 20036584 24323888 30054876 36485832 40073168 48647776 60109752 72971664 80146336 120219504 145943328 240439008 348135647 696271294 1044406941 1392542588 2088813882 2785085176 4177627764 5570170352 8355255528 11140340704 16710511056 33421022112