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13220032033 = 1316321612887
BaseRepresentation
bin11000100111111100…
…11010111000100001
31021010022211012200001
430103332122320201
5204033312011113
610023451100001
7645414263305
oct142376327041
937108735601
1013220032033
1156743aa80a
12268b441601
131328b50b80
148d5a83d05
155259167dd
hex313f9ae21

13220032033 has 16 divisors (see below), whose sum is σ = 14335893376. Its totient is φ = 12118429440.

The previous prime is 13220031971. The next prime is 13220032073. The reversal of 13220032033 is 33023002231.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-13220032033 is a prime.

It is a super-2 number, since 2×132200320332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13220032033.

It is not an unprimeable number, because it can be changed into a prime (13220032073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4577716 + ... + 4580602.

It is an arithmetic number, because the mean of its divisors is an integer number (895993336).

Almost surely, 213220032033 is an apocalyptic number.

13220032033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13220032033 is a deficient number, since it is larger than the sum of its proper divisors (1115861343).

13220032033 is a wasteful number, since it uses less digits than its factorization.

13220032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 13220032033 its reverse (33023002231), we get a palindrome (46243034264).

The spelling of 13220032033 in words is "thirteen billion, two hundred twenty million, thirty-two thousand, thirty-three".

Divisors: 1 13 163 2119 2161 2887 28093 37531 352243 470581 4579159 6117553 6238807 81104491 1016925541 13220032033