Search a number
-
+
13211120232101 = 11192831487150209
BaseRepresentation
bin1100000000111111010000…
…1000001110011010100101
31201202222012200110112110002
43000033310020032122211
53212422333234411401
644033034351511045
72532320606100221
oct300176410163245
951688180415402
1013211120232101
114233893a59960
1215944a1528485
1374aa59aaa68c
143395c8d53781
1517d9b8ee9a6b
hexc03f420e6a5

13211120232101 has 32 divisors (see below), whose sum is σ = 15234610636800. Its totient is φ = 11330093306880.

The previous prime is 13211120232091. The next prime is 13211120232143. The reversal of 13211120232101 is 10123202111231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13211120232101 is a prime.

It is a super-2 number, since 2×132111202321012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211120232601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87876485 + ... + 88026693.

It is an arithmetic number, because the mean of its divisors is an integer number (476081582400).

Almost surely, 213211120232101 is an apocalyptic number.

13211120232101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13211120232101 is a deficient number, since it is larger than the sum of its proper divisors (2023490404699).

13211120232101 is a wasteful number, since it uses less digits than its factorization.

13211120232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152009.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 13211120232101 its reverse (10123202111231), we get a palindrome (23334322343332).

The spelling of 13211120232101 in words is "thirteen trillion, two hundred eleven billion, one hundred twenty million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 11 19 209 283 1487 3113 5377 16357 28253 59147 150209 310783 420821 1652299 2853971 4629031 7995599 31393681 42509147 87951589 223360783 467600617 807673793 2456968613 4243854877 8884411723 46682403647 63211101589 695322117479 1201010930191 13211120232101