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10211220096 = 273711367941
BaseRepresentation
bin10011000001010001…
…01101101010000000
3222100122012201121220
421200220231222000
5131403033020341
64405125515040
7511020636660
oct114050555200
928318181556
1010211220096
11436aa70880
121b8b872a80
13c696a278c
146cc2261a0
153eb6d1a66
hex260a2da80

10211220096 has 256 divisors, whose sum is σ = 33944555520. Its totient is φ = 2642227200.

The previous prime is 10211220043. The next prime is 10211220101. The reversal of 10211220096 is 69002211201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10850986 + ... + 10851926.

It is an arithmetic number, because the mean of its divisors is an integer number (132595920).

Almost surely, 210211220096 is an apocalyptic number.

10211220096 is a gapful number since it is divisible by the number (16) 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 10211220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972277760).

10211220096 is an abundant number, since it is smaller than the sum of its proper divisors (23733335424).

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

10211220096 is a wasteful number, since it uses less digits than its factorization.

10211220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 10211220096 its reverse (69002211201), we get a palindrome (79213431297).

The spelling of 10211220096 in words is "ten billion, two hundred eleven million, two hundred twenty thousand, ninety-six".