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121102122213 = 32731013974597
BaseRepresentation
bin111000011001000111…
…1111011110011100101
3102120120211000012221200
41300302033323303211
53441004120402323
6131344502433113
711515011024462
oct1606217736345
9376524005850
10121102122213
11473a4a99926
121b578a32799
13b55c62bca7
145c0b878669
15323bb0a443
hex1c323fbce5

121102122213 has 48 divisors (see below), whose sum is σ = 179567312496. Its totient is φ = 78624691200.

The previous prime is 121102122107. The next prime is 121102122217. The reversal of 121102122213 is 312221201121.

It can be written as a sum of positive squares in 8 ways, for example, as 2963495844 + 118138626369 = 54438^2 + 343713^2 .

It is not a de Polignac number, because 121102122213 - 221 = 121100025061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121102122217) 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, 26341431 + ... + 26346027.

It is an arithmetic number, because the mean of its divisors is an integer number (3740985677).

Almost surely, 2121102122213 is an apocalyptic number.

It is an amenable number.

121102122213 is a deficient number, since it is larger than the sum of its proper divisors (58465190283).

121102122213 is a wasteful number, since it uses less digits than its factorization.

121102122213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5171 counting only the distinct ones).

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

Adding to 121102122213 its reverse (312221201121), we get a palindrome (433323323334).

The spelling of 121102122213 in words is "one hundred twenty-one billion, one hundred two million, one hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 73 101 219 303 397 657 909 1191 3573 4597 7373 13791 22119 28981 40097 41373 66357 86943 120291 260829 335581 360873 464297 1006743 1392891 1825009 2927081 3020229 4178673 5475027 8781243 16425081 26343729 33893681 101681043 133225657 184325909 305043129 399676971 552977727 1199030913 1658933181 13455791357 40367374071 121102122213