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31313101221 = 3219377436661
BaseRepresentation
bin11101001010011010…
…000000000110100101
32222211021010100121200
4131022122000012211
51003112123214341
622215100233113
72155652653203
oct351232000645
988737110550
1031313101221
111230947a456
12609a83b799
132c5043937c
1417309ba073
15c34055db6
hex74a6801a5

31313101221 has 48 divisors (see below), whose sum is σ = 48970496640. Its totient is φ = 19213407360.

The previous prime is 31313101207. The next prime is 31313101249. The reversal of 31313101221 is 12210131313.

31313101221 is a `hidden beast` number, since 3 + 131 + 310 + 1 + 221 = 666.

It is not a de Polignac number, because 31313101221 - 222 = 31308906917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31313101194 and 31313101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313101201) 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, 4697631 + ... + 4704291.

It is an arithmetic number, because the mean of its divisors is an integer number (1020218680).

Almost surely, 231313101221 is an apocalyptic number.

It is an amenable number.

31313101221 is a deficient number, since it is larger than the sum of its proper divisors (17657395419).

31313101221 is a wasteful number, since it uses less digits than its factorization.

31313101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 7463 counting only the distinct ones).

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

Adding to 31313101221 its reverse (12210131313), we get a palindrome (43523232534).

The spelling of 31313101221 in words is "thirty-one billion, three hundred thirteen million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 19 37 57 111 171 333 703 743 2109 2229 6327 6661 6687 14117 19983 27491 42351 59949 82473 126559 127053 246457 247419 379677 522329 739371 1139031 1566987 2218113 4682683 4700961 4949123 14048049 14847369 42144147 44542107 94033337 183117551 282100011 549352653 846300033 1648057959 3479233469 10437700407 31313101221