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122023130133300 = 22352113110111809871
BaseRepresentation
bin11011101111101010111001…
…010100110111001100110100
3121000001022000202001101211020
4123233222321110313030310
5111443211332303231200
61111304352504541140
734462610626446204
oct3357527124671464
9530038022041736
10122023130133300
113597579a907540
1211828a974817b0
1353119689b4546
14221bd45804404
15e1917d09aea0
hex6efab9537334

122023130133300 has 288 divisors, whose sum is σ = 401509949718528. Its totient is φ = 28343688000000.

The previous prime is 122023130133119. The next prime is 122023130133313. The reversal of 122023130133300 is 3331031320221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4427365 + ... + 16237235.

It is an arithmetic number, because the mean of its divisors is an integer number (1394131769856).

Almost surely, 2122023130133300 is an apocalyptic number.

122023130133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122023130133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200754974859264).

122023130133300 is an abundant number, since it is smaller than the sum of its proper divisors (279486819585228).

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

122023130133300 is a wasteful number, since it uses less digits than its factorization.

122023130133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11810031 (or 11810024 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 122023130133300 its reverse (3331031320221), we get a palindrome (125354161453521).

The spelling of 122023130133300 in words is "one hundred twenty-two trillion, twenty-three billion, one hundred thirty million, one hundred thirty-three thousand, three hundred".