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31102122202101 = 328161423451949
BaseRepresentation
bin1110001001001100001101…
…11100100001001111110101
311002010100000101001120012200
413010212012330201033311
513034034121240431401
6150052041230535113
76360024403500666
oct704460674411765
9132110011046180
1031102122202101
119a01377174985
1235a3971967499
131447bc0aa9bc2
147974ca63d36d
1538e086c2a686
hex1c4986f213f5

31102122202101 has 12 divisors (see below), whose sum is σ = 44930792606700. Its totient is φ = 20732207374080.

The previous prime is 31102122202097. The next prime is 31102122202183. The reversal of 31102122202101 is 10120222120113.

31102122202101 is a `hidden beast` number, since 311 + 0 + 2 + 122 + 20 + 210 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20292006762225 + 10810115439876 = 4504665^2 + 3287874^2 .

It is not a de Polignac number, because 31102122202101 - 22 = 31102122202097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31102122202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211652526 + ... + 211799423.

It is an arithmetic number, because the mean of its divisors is an integer number (3744232717225).

Almost surely, 231102122202101 is an apocalyptic number.

It is an amenable number.

31102122202101 is a deficient number, since it is larger than the sum of its proper divisors (13828670404599).

31102122202101 is a wasteful number, since it uses less digits than its factorization.

31102122202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423460116 (or 423460113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31102122202101 its reverse (10120222120113), we get a palindrome (41222344322214).

The spelling of 31102122202101 in words is "thirty-one trillion, one hundred two billion, one hundred twenty-two million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 8161 24483 73449 423451949 1270355847 3811067541 3455791355789 10367374067367 31102122202101