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31301121132 = 223219271168863
BaseRepresentation
bin11101001001101100…
…010011010001101100
32222210102120201000200
4131021230103101230
51003101041334012
622213551353500
72155446065631
oct351154232154
988712521020
1031301121132
1112302737656
126096822890
132c4ab03468
14172d17c188
15c32e8b3dc
hex749b1346c

31301121132 has 72 divisors (see below), whose sum is σ = 83594434560. Its totient is φ = 9848031840.

The previous prime is 31301121101. The next prime is 31301121133. The reversal of 31301121132 is 23112110313.

It is a super-2 number, since 2×313011211322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31301121133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100933 + ... + 269795.

Almost surely, 231301121132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31301121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41797217280).

31301121132 is an abundant number, since it is smaller than the sum of its proper divisors (52293313428).

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

31301121132 is a wasteful number, since it uses less digits than its factorization.

31301121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169163 (or 169158 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31301121132 its reverse (23112110313), we get a palindrome (54413231445).

The spelling of 31301121132 in words is "thirty-one billion, three hundred one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 271 342 542 684 813 1084 1626 2439 3252 4878 5149 9756 10298 15447 20596 30894 46341 61788 92682 168863 185364 337726 506589 675452 1013178 1519767 2026356 3039534 3208397 6079068 6416794 9625191 12833588 19250382 28875573 38500764 45761873 57751146 91523746 115502292 137285619 183047492 274571238 411856857 549142476 823713714 869475587 1647427428 1738951174 2608426761 3477902348 5216853522 7825280283 10433707044 15650560566 31301121132