Search a number
-
+
21113111310 = 2353750937369
BaseRepresentation
bin10011101010011100…
…001000001100001110
32000111102001011220120
4103222130020030032
5321214424030220
613411011125410
71345126325244
oct235234101416
960442034816
1021113111310
118a5488a025
1241128a3866
131cb6199395
141044078794
15838841a40
hex4ea70830e

21113111310 has 64 divisors (see below), whose sum is σ = 52144603200. Its totient is φ = 5467087872.

The previous prime is 21113111281. The next prime is 21113111333. The reversal of 21113111310 is 1311131112.

It is a super-2 number, since 2×211131113102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21113111310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546306 + ... + 583674.

It is an arithmetic number, because the mean of its divisors is an integer number (814759425).

Almost surely, 221113111310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26072301600).

21113111310 is an abundant number, since it is smaller than the sum of its proper divisors (31031491890).

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

21113111310 is a wasteful number, since it uses less digits than its factorization.

21113111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37925.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 21113111310 its reverse (1311131112), we get a palindrome (22424242422).

The spelling of 21113111310 in words is "twenty-one billion, one hundred thirteen million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 509 555 1018 1110 1527 2545 3054 5090 7635 15270 18833 37369 37666 56499 74738 94165 112107 112998 186845 188330 224214 282495 373690 560535 564990 1121070 1382653 2765306 4147959 6913265 8295918 13826530 19020821 20739795 38041642 41479590 57062463 95104105 114124926 190208210 285312315 570624630 703770377 1407540754 2111311131 3518851885 4222622262 7037703770 10556555655 21113111310