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13234121142 = 2311259509607
BaseRepresentation
bin11000101001101000…
…01010100110110110
31021011022100000021220
430110310022212312
5204100413334032
610025113051210
7645645113364
oct142464124666
937138300256
1013234121142
115681353100
1226940b6b06
13132ba44a18
148d78b0634
15526c9b12c
hex314d0a9b6

13234121142 has 96 divisors (see below), whose sum is σ = 29693260800. Its totient is φ = 3928140480.

The previous prime is 13234121119. The next prime is 13234121149. The reversal of 13234121142 is 24112143231.

It is a super-2 number, since 2×132341211422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234121149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21802203 + ... + 21802809.

It is an arithmetic number, because the mean of its divisors is an integer number (309304800).

Almost surely, 213234121142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13234121142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14846630400).

13234121142 is an abundant number, since it is smaller than the sum of its proper divisors (16459139658).

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

13234121142 is a wasteful number, since it uses less digits than its factorization.

13234121142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1191 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 13234121142 its reverse (24112143231), we get a palindrome (37346264373).

The spelling of 13234121142 in words is "thirteen billion, two hundred thirty-four million, one hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 121 177 242 354 363 509 607 649 726 1018 1214 1298 1527 1821 1947 3054 3642 3894 5599 6677 7139 11198 13354 14278 16797 20031 21417 30031 33594 35813 40062 42834 60062 61589 71626 73447 90093 107439 123178 146894 180186 184767 214878 220341 308963 330341 369534 393943 440682 617926 660682 787886 926889 991023 1181829 1853778 1982046 2363658 3398593 3633751 4333373 6797186 7267502 8666746 10195779 10901253 13000119 18228817 20391558 21802506 26000238 36457634 37384523 54686451 74769046 109372902 112153569 200516987 224307138 401033974 601550961 1203101922 2205686857 4411373714 6617060571 13234121142