Search a number
-
+
12113111131310 = 257414220596213
BaseRepresentation
bin1011000001000100110110…
…1011111010010010101110
31120220000001112121221000002
42300101031223322102232
53041430122422200220
641432404134104302
72360100120531440
oct260211553722256
946800045557002
1012113111131310
113950161499a12
1214377284ab092
1369b352611297
142dc3c6056490
1516015320ec75
hexb044dafa4ae

12113111131310 has 32 divisors (see below), whose sum is σ = 25526165902272. Its totient is φ = 4051772363520.

The previous prime is 12113111131301. The next prime is 12113111131327. The reversal of 12113111131310 is 1313111131121.

12113111131310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121131111313102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110295237 + ... + 2110300976.

It is an arithmetic number, because the mean of its divisors is an integer number (797692684446).

Almost surely, 212113111131310 is an apocalyptic number.

12113111131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12113111131310 is an abundant number, since it is smaller than the sum of its proper divisors (13413054770962).

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

12113111131310 is a wasteful number, since it uses less digits than its factorization.

12113111131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220596268.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 12113111131310 its reverse (1313111131121), we get a palindrome (13426222262431).

The spelling of 12113111131310 in words is "twelve trillion, one hundred thirteen billion, one hundred eleven million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 287 410 574 1435 2870 4220596213 8441192426 21102981065 29544173491 42205962130 59088346982 147720867455 173044444733 295441734910 346088889466 865222223665 1211311113131 1730444447330 2422622226262 6056555565655 12113111131310