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23132222223132 = 22311648127039671
BaseRepresentation
bin1010100001001111000111…
…11000110111001100011100
310000220102022100011122210010
411100213203320313030130
511012444242342120012
6121110443550443220
74605151013441001
oct520474370671434
9100812270148703
1023132222223132
117409358430a90
12271721a503510
13cba4891cb099
1459d8698038a8
152a1ac7599c3c
hex1509e3e3731c

23132222223132 has 48 divisors (see below), whose sum is σ = 58891107711744. Its totient is φ = 7008682464000.

The previous prime is 23132222223067. The next prime is 23132222223133.

It is a happy number.

23132222223132 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23132222223132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132222223133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12664344 + ... + 14375327.

It is an arithmetic number, because the mean of its divisors is an integer number (1226898077328).

Almost surely, 223132222223132 is an apocalyptic number.

23132222223132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23132222223132 is an abundant number, since it is smaller than the sum of its proper divisors (35758885488612).

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

23132222223132 is a wasteful number, since it uses less digits than its factorization.

23132222223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27046170 (or 27046168 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2313222 and 2223132, that added together give a palindrome (4536354).

The spelling of 23132222223132 in words is "twenty-three trillion, one hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 6481 12962 19443 25924 38886 71291 77772 142582 213873 285164 427746 855492 27039671 54079342 81119013 108158684 162238026 297436381 324476052 594872762 892309143 1189745524 1784618286 3569236572 175244107751 350488215502 525732323253 700976431004 1051464646506 1927685185261 2102929293012 3855370370522 5783055555783 7710740741044 11566111111566 23132222223132