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122132221313103 = 338354498983183
BaseRepresentation
bin11011110001010000011111…
…101010101100000001001111
3121000102201121111100112021000
4123301100133222230001033
5112002003242124004403
61111430433511311343
734503522204254121
oct3361203752540117
9530381544315230
10122132221313103
1135a07a90a50581
121184606197b553
13531c032b1a201
142223334013211
15e1be154c37a3
hex6f141faac04f

122132221313103 has 16 divisors (see below), whose sum is σ = 183116583498240. Its totient is φ = 80440499176632.

The previous prime is 122132221313101. The next prime is 122132221313131. The reversal of 122132221313103 is 301313122231221.

122132221313103 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 322 + 21 + 3 + 1 + 310 + 3 = 666.

It is not a de Polignac number, because 122132221313103 - 21 = 122132221313101 is a prime.

It is a super-4 number, since 4×1221322213131034 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132221313101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27249489351 + ... + 27249493832.

It is an arithmetic number, because the mean of its divisors is an integer number (11444786468640).

Almost surely, 2122132221313103 is an apocalyptic number.

122132221313103 is a deficient number, since it is larger than the sum of its proper divisors (60984362185137).

122132221313103 is an equidigital number, since it uses as much as digits as its factorization.

122132221313103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54498983275 (or 54498983269 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122132221313103 its reverse (301313122231221), we get a palindrome (423445343544324).

The spelling of 122132221313103 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred three".

Divisors: 1 3 9 27 83 249 747 2241 54498983183 163496949549 490490848647 1471472545941 4523415604189 13570246812567 40710740437701 122132221313103