Search a number
-
+
31121000010 = 2335157734159
BaseRepresentation
bin11100111110111101…
…001100011001001010
32222022212122121022000
4130332331030121022
51002213434000020
622144035011430
72151131064312
oct347675143112
988285577260
1031121000010
111221aaa1a21
126046439b76
132c1c6b9409
141713292442
15c2225c090
hex73ef4c64a

31121000010 has 64 divisors (see below), whose sum is σ = 83518041600. Its totient is φ = 8246062656.

The previous prime is 31120999991. The next prime is 31121000059. The reversal of 31121000010 is 1000012113.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31120999956 and 31121000001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324690 + ... + 409469.

It is an arithmetic number, because the mean of its divisors is an integer number (1304969400).

Almost surely, 231121000010 is an apocalyptic number.

31121000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31121000010 is an abundant number, since it is smaller than the sum of its proper divisors (52397041590).

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

31121000010 is a wasteful number, since it uses less digits than its factorization.

31121000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734332 (or 734326 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 31121000010 its reverse (1000012113), we get a palindrome (32121012123).

The spelling of 31121000010 in words is "thirty-one billion, one hundred twenty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 270 314 471 785 942 1413 1570 2355 2826 4239 4710 7065 8478 14130 21195 42390 734159 1468318 2202477 3670795 4404954 6607431 7341590 11012385 13214862 19822293 22024770 33037155 39644586 66074310 99111465 115262963 198222930 230525926 345788889 576314815 691577778 1037366667 1152629630 1728944445 2074733334 3112100001 3457888890 5186833335 6224200002 10373666670 15560500005 31121000010