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13211321022 = 2334143313781
BaseRepresentation
bin11000100110111010…
…01100001010111110
31021002201102122102000
430103131030022332
5204024044233042
610022540243130
7645250242624
oct142335141276
937081378360
1013211321022
11566a4a0029
1226885404a6
1313270c0c23
148d4857514
15524c9574c
hex31374c2be

13211321022 has 64 divisors (see below), whose sum is σ = 30146195520. Its totient is φ = 4286131200.

The previous prime is 13211321017. The next prime is 13211321023. The reversal of 13211321022 is 22012311231.

13211321022 is a `hidden beast` number, since 1 + 321 + 1 + 321 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13211320986 and 13211321004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211321023) 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, 951772 + ... + 965552.

It is an arithmetic number, because the mean of its divisors is an integer number (471034305).

Almost surely, 213211321022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073097760).

13211321022 is an abundant number, since it is smaller than the sum of its proper divisors (16934874498).

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

13211321022 is a wasteful number, since it uses less digits than its factorization.

13211321022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14266 (or 14260 counting only the distinct ones).

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

Adding to 13211321022 its reverse (22012311231), we get a palindrome (35223632253).

The spelling of 13211321022 in words is "thirteen billion, two hundred eleven million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 433 738 866 1107 1299 2214 2598 3897 7794 11691 13781 17753 23382 27562 35506 41343 53259 82686 106518 124029 159777 248058 319554 372087 479331 565021 744174 958662 1130042 1695063 3390126 5085189 5967173 10170378 11934346 15255567 17901519 30511134 35803038 53704557 107409114 161113671 244654093 322227342 489308186 733962279 1467924558 2201886837 4403773674 6605660511 13211321022