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10221011331 = 3231574332179
BaseRepresentation
bin10011000010011100…
…00100000110000011
3222101022122011200020
421201032010012003
5131413034330311
64410115424523
7511200106566
oct114116040603
928338564606
1010221011331
114375549103
121b92bb5143
13c6b7202cb
146cd6544dd
153ec4b7c06
hex261384183

10221011331 has 32 divisors (see below), whose sum is σ = 14350748160. Its totient is φ = 6458310144.

The previous prime is 10221011329. The next prime is 10221011351. The reversal of 10221011331 is 13311012201.

It is a happy number.

It is not a de Polignac number, because 10221011331 - 21 = 10221011329 is a prime.

It is a super-3 number, since 3×102210113313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10221011331.

It is not an unprimeable number, because it can be changed into a prime (10221011351) 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, 4689600 + ... + 4691778.

It is an arithmetic number, because the mean of its divisors is an integer number (448460880).

Almost surely, 210221011331 is an apocalyptic number.

10221011331 is a deficient number, since it is larger than the sum of its proper divisors (4129736829).

10221011331 is a wasteful number, since it uses less digits than its factorization.

10221011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10221011331 its reverse (13311012201), we get a palindrome (23532023532).

The spelling of 10221011331 in words is "ten billion, two hundred twenty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 23 69 157 433 471 1299 2179 3611 6537 9959 10833 29877 50117 67981 150351 203943 342103 943507 1026309 1563563 2830521 4690689 7868369 21700661 23605107 65101983 148130599 444391797 3407003777 10221011331