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23121144112132 = 221110135914492417
BaseRepresentation
bin1010100000111010011111…
…00101001110010000000100
310000212100201021202022101201
411100131033211032100010
511012304100343042012
6121101412412232244
74604306335160203
oct520351745162004
9100770637668351
1023121144112132
1174046930a2250
12271504846b684
13cb9412055111
1459d0d83dd23a
152a1679c2b857
hex15074f94e404

23121144112132 has 48 divisors (see below), whose sum is σ = 44701573472640. Its totient is φ = 10376569856000.

The previous prime is 23121144112117. The next prime is 23121144112139.

23121144112132 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23121144112132.

It is not an unprimeable number, because it can be changed into a prime (23121144112139) 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 15 ways as a sum of consecutive naturals, for example, 5650813 + ... + 8841604.

It is an arithmetic number, because the mean of its divisors is an integer number (931282780680).

Almost surely, 223121144112132 is an apocalyptic number.

23121144112132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23121144112132 is a deficient number, since it is larger than the sum of its proper divisors (21580429360508).

23121144112132 is a wasteful number, since it uses less digits than its factorization.

23121144112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492892 (or 14492890 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 2312114 and 4112132, that added together give a palindrome (6424246).

The spelling of 23121144112132 in words is "twenty-three trillion, one hundred twenty-one billion, one hundred forty-four million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 101 202 359 404 718 1111 1436 2222 3949 4444 7898 15796 36259 72518 145036 398849 797698 1595396 14492417 28984834 57969668 159416587 318833174 637666348 1463734117 2927468234 5202777703 5854936468 10405555406 16101075287 20811110812 32202150574 57230554733 64404301148 114461109466 228922218932 525480548003 1050961096006 2101922192012 5780286028033 11560572056066 23121144112132