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31422011313 = 37211371035099
BaseRepresentation
bin11101010000111001…
…011101011110110001
310000002212001120011210
4131100321131132301
51003323013330223
622233550430333
72161444455300
oct352071353661
9100085046153
1031422011313
11123649a71a0
12610b2023a9
132c69b7c604
14174124a437
15c3d8ba893
hex750e5d7b1

31422011313 has 96 divisors (see below), whose sum is σ = 55144627200. Its totient is φ = 15724679040.

The previous prime is 31422011293. The next prime is 31422011329. The reversal of 31422011313 is 31311022413.

It is not a de Polignac number, because 31422011313 - 26 = 31422011249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 31422011313.

It is not an unprimeable number, because it can be changed into a prime (31422011333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6159838 + ... + 6164936.

It is an arithmetic number, because the mean of its divisors is an integer number (574423200).

Almost surely, 231422011313 is an apocalyptic number.

31422011313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31422011313 is a deficient number, since it is larger than the sum of its proper divisors (23722615887).

31422011313 is a wasteful number, since it uses less digits than its factorization.

31422011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31422011313 its reverse (31311022413), we get a palindrome (62733033726).

The spelling of 31422011313 in words is "thirty-one billion, four hundred twenty-two million, eleven thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 37 49 77 103 111 147 231 259 309 407 539 721 777 1133 1221 1617 1813 2163 2849 3399 3811 5047 5099 5439 7931 8547 11433 15141 15297 19943 23793 26677 35693 41921 55517 56089 59829 80031 107079 125763 166551 168267 186739 188663 249851 293447 392623 525197 560217 565989 749553 880341 1177869 1320641 1575591 2054129 2075293 2748361 3676379 3961923 5777167 6162387 6225879 8245083 9244487 11029137 14527051 17331501 19432289 25734653 27733461 40440169 43581153 58296867 77203959 101689357 121320507 136026023 213755179 283081183 305068071 408078069 641265537 849243549 952182161 1496286253 2856546483 4488858759 10474003771 31422011313