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23111311311132 = 22311374732045723
BaseRepresentation
bin1010100000101000001011…
…00000000100000100011100
310000211102100000121021011220
411100110011200010010130
511012123431143424012
6121053105001213340
74603510560556662
oct520240540040434
9100742300537156
1023111311311132
1174004a77a7330
122713163491250
13cb8505ba9085
1459c844560c32
152a12a189908c
hex15050580411c

23111311311132 has 48 divisors (see below), whose sum is σ = 60418759804032. Its totient is φ = 6814145839680.

The previous prime is 23111311311071. The next prime is 23111311311149.

23111311311132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2366017978 + ... + 2366027745.

It is an arithmetic number, because the mean of its divisors is an integer number (1258724162584).

Almost surely, 223111311311132 is an apocalyptic number.

23111311311132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23111311311132 is an abundant number, since it is smaller than the sum of its proper divisors (37307448492900).

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

23111311311132 is a wasteful number, since it uses less digits than its factorization.

23111311311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732045778 (or 4732045776 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

It can be divided in two parts, 2311131 and 1311132, that added together give a palindrome (3622263).

The spelling of 23111311311132 in words is "twenty-three trillion, one hundred eleven billion, three hundred eleven million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 4732045723 9464091446 14196137169 18928182892 28392274338 52052502953 56784548676 104105005906 156157508859 175085691751 208210011812 312315017718 350171383502 525257075253 624630035436 700342767004 1050514150506 1925942609261 2101028301012 3851885218522 5777827827783 7703770437044 11555655655566 23111311311132