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122311113102 = 235798393797
BaseRepresentation
bin111000111101001001…
…1110111100110001110
3102200201001221022200000
41301322103313212032
54000443121104402
6132104451345130
711556661210323
oct1617223674616
9380631838600
10122311113102
1147965486652
121b8558b21a6
13b6c2c50909
145cc4268b4a
1532acd1ec1c
hex1c7a4f798e

122311113102 has 96 divisors (see below), whose sum is σ = 278706355200. Its totient is φ = 40195722528.

The previous prime is 122311113073. The next prime is 122311113143. The reversal of 122311113102 is 201311113221.

122311113102 is a `hidden beast` number, since 12 + 231 + 111 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32210668 + ... + 32214464.

It is an arithmetic number, because the mean of its divisors is an integer number (2903191200).

Almost surely, 2122311113102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122311113102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139353177600).

122311113102 is an abundant number, since it is smaller than the sum of its proper divisors (156395242098).

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

122311113102 is an equidigital number, since it uses as much as digits as its factorization.

122311113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122311113102 its reverse (201311113221), we get a palindrome (323622226323).

The spelling of 122311113102 in words is "one hundred twenty-two billion, three hundred eleven million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 243 474 486 711 839 1422 1678 2133 2517 3797 4266 5034 6399 7551 7594 11391 12798 15102 19197 22653 22782 34173 38394 45306 66281 67959 68346 102519 132562 135918 198843 203877 205038 299963 307557 397686 407754 596529 599926 615114 899889 922671 1193058 1789587 1799778 1845342 2699667 3185683 3579174 5368761 5399334 6371366 8099001 9557049 10737522 16106283 16198002 19114098 24297003 28671147 32212566 48594006 57342294 72891009 86013441 145782018 172026882 251668957 258040323 503337914 516080646 755006871 774120969 1510013742 1548241938 2265020613 4530041226 6795061839 13590123678 20385185517 40770371034 61155556551 122311113102