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20234412132 = 223113143114997
BaseRepresentation
bin10010110110000100…
…001010000001100100
31221020011121122020120
4102312010022001210
5312420002142012
613143501401540
71314266444124
oct226604120144
957204548216
1020234412132
118643886360
123b085692b0
131ba612023c
14d9d4a4c84
157d662158c
hex4b610a064

20234412132 has 96 divisors (see below), whose sum is σ = 54404173824. Its totient is φ = 5795798400.

The previous prime is 20234412131. The next prime is 20234412161. The reversal of 20234412132 is 23121443202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20234412131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118458 + ... + 233454.

It is an arithmetic number, because the mean of its divisors is an integer number (566710144).

Almost surely, 220234412132 is an apocalyptic number.

20234412132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20234412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27202086912).

20234412132 is an abundant number, since it is smaller than the sum of its proper divisors (34169761692).

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

20234412132 is a wasteful number, since it uses less digits than its factorization.

20234412132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115089 (or 115087 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20234412132 its reverse (23121443202), we get a palindrome (43355855334).

The spelling of 20234412132 in words is "twenty billion, two hundred thirty-four million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 43 44 62 66 86 93 124 129 132 172 186 258 341 372 473 516 682 946 1023 1333 1364 1419 1892 2046 2666 2838 3999 4092 5332 5676 7998 14663 15996 29326 43989 58652 87978 114997 175956 229994 344991 459988 689982 1264967 1379964 2529934 3564907 3794901 4944871 5059868 7129814 7589802 9889742 10694721 14259628 14834613 15179604 19779484 21389442 29669226 39213977 42778884 54393581 59338452 78427954 108787162 117641931 153291001 156855908 163180743 217574324 235283862 306582002 326361486 459873003 470567724 613164004 652722972 919746006 1686201011 1839492012 3372402022 5058603033 6744804044 10117206066 20234412132