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23121422412132 = 223113710345962291
BaseRepresentation
bin1010100000111011000000…
…01010110110100101100100
310000212101102200102102020010
411100131200022312211210
511012310133114142012
6121101500153210220
74604316254530362
oct520354012664544
9100771380372203
1023121422412132
1174048161a5150
122715105700970
13cb94578c5a85
1459d123364632
152a16943a0c3c
hex1507602b6964

23121422412132 has 96 divisors (see below), whose sum is σ = 61032040602624. Its totient is φ = 6750941155200.

The previous prime is 23121422412089. The next prime is 23121422412133.

23121422412132 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 23121422412132.

It is not an unprimeable number, because it can be changed into a prime (23121422412133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22478094 + ... + 23484197.

It is an arithmetic number, because the mean of its divisors is an integer number (635750422944).

Almost surely, 223121422412132 is an apocalyptic number.

23121422412132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23121422412132 is an abundant number, since it is smaller than the sum of its proper divisors (37910618190492).

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

23121422412132 is a wasteful number, since it uses less digits than its factorization.

23121422412132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45962449 (or 45962447 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2312142 and 2412132, that added together give a palindrome (4724274).

The spelling of 23121422412132 in words is "twenty-three trillion, one hundred twenty-one billion, four hundred twenty-two million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 103 111 132 148 206 222 309 407 412 444 618 814 1133 1221 1236 1628 2266 2442 3399 3811 4532 4884 6798 7622 11433 13596 15244 22866 41921 45732 83842 125763 167684 251526 503052 45962291 91924582 137886873 183849164 275773746 505585201 551547492 1011170402 1516755603 1700604767 2022340804 3033511206 3401209534 4734115973 5101814301 6067022412 6802419068 9468231946 10203628602 14202347919 18706652437 18936463892 20407257204 28404695838 37413304874 52075275703 56119957311 56809391676 74826609748 104150551406 112239914622 156225827109 175162291001 208301102812 224479829244 312451654218 350324582002 525486873003 624903308436 700649164004 1050973746006 1926785201011 2101947492012 3853570402022 5780355603033 7707140804044 11560711206066 23121422412132