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10211104332 = 2232112131710607
BaseRepresentation
bin10011000001010000…
…10001011001001100
3222100121222211211100
421200220101121030
5131403020314312
64405123223100
7511016645322
oct114050213114
928317884740
1010211104332
11436a9a1900
121b8b817a90
13c69661b90
146cc1d5d12
153eb6ac5dc
hex260a1164c

10211104332 has 216 divisors, whose sum is σ = 32353933248. Its totient is φ = 2687984640.

The previous prime is 10211104313. The next prime is 10211104339. The reversal of 10211104332 is 23340111201.

10211104332 is a `hidden beast` number, since 10 + 211 + 10 + 433 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10211104339) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957373 + ... + 967979.

It is an arithmetic number, because the mean of its divisors is an integer number (149786728).

Almost surely, 210211104332 is an apocalyptic number.

10211104332 is a gapful number since it is divisible by the number (12) 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 10211104332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176966624).

10211104332 is an abundant number, since it is smaller than the sum of its proper divisors (22142828916).

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

10211104332 is a wasteful number, since it uses less digits than its factorization.

10211104332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10653 counting only the distinct ones).

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

Adding to 10211104332 its reverse (23340111201), we get a palindrome (33551215533).

The spelling of 10211104332 in words is "ten billion, two hundred eleven million, one hundred four thousand, three hundred thirty-two".