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212113110 = 235115231229
BaseRepresentation
bin11001010010010…
…01011011010110
3112210010110111010
430221021123112
5413300104420
633014153050
75153634366
oct1451113326
9483113433
10212113110
11a98067a0
125b052786
1334c38921
14202569a6
151394d4e0
hexca496d6

212113110 has 64 divisors (see below), whose sum is σ = 556865280. Its totient is φ = 51281280.

The previous prime is 212113081. The next prime is 212113117. The reversal of 212113110 is 11311212.

212113110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212113117) 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, 171976 + ... + 173204.

It is an arithmetic number, because the mean of its divisors is an integer number (8701020).

Almost surely, 2212113110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278432640).

212113110 is an abundant number, since it is smaller than the sum of its proper divisors (344752170).

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

212113110 is a wasteful number, since it uses less digits than its factorization.

212113110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 212113110 is about 14564.1034739527. The cubic root of 212113110 is about 596.3792216706.

Adding to 212113110 its reverse (11311212), we get a palindrome (223424322).

The spelling of 212113110 in words is "two hundred twelve million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 523 1046 1229 1569 2458 2615 3138 3687 5230 5753 6145 7374 7845 11506 12290 13519 15690 17259 18435 27038 28765 34518 36870 40557 57530 67595 81114 86295 135190 172590 202785 405570 642767 1285534 1928301 3213835 3856602 6427670 7070437 9641505 14140874 19283010 21211311 35352185 42422622 70704370 106056555 212113110