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122301330100 = 225259191108529
BaseRepresentation
bin111000111100110111…
…0100011001010110100
3102200200101112021220121
41301321232203022310
54000433120030400
6132103501541324
711556512103415
oct1617156431264
9380611467817
10122301330100
114795aa04524
121b852574844
13b6c0c06a61
145cc2c3d80c
1532ac03b21a
hex1c79ba32b4

122301330100 has 72 divisors (see below), whose sum is σ = 271307635200. Its totient is φ = 47839142400.

The previous prime is 122301330089. The next prime is 122301330103. The reversal of 122301330100 is 1033103221.

122301330100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122301330103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072636 + ... + 1181164.

It is an arithmetic number, because the mean of its divisors is an integer number (3768161600).

Almost surely, 2122301330100 is an apocalyptic number.

122301330100 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 122301330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135653817600).

122301330100 is an abundant number, since it is smaller than the sum of its proper divisors (149006305100).

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

122301330100 is a wasteful number, since it uses less digits than its factorization.

122301330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108793 (or 108786 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 122301330100 its reverse (1033103221), we get a palindrome (123334433321).

The spelling of 122301330100 in words is "one hundred twenty-two billion, three hundred one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 191 236 295 382 590 764 955 1180 1475 1910 2950 3820 4775 5900 9550 11269 19100 22538 45076 56345 108529 112690 217058 225380 281725 434116 542645 563450 1085290 1126900 2170580 2713225 5426450 6403211 10852900 12806422 20729039 25612844 32016055 41458078 64032110 82916156 103645195 128064220 160080275 207290390 320160550 414580780 518225975 640321100 1036451950 1223013301 2072903900 2446026602 4892053204 6115066505 12230133010 24460266020 30575332525 61150665050 122301330100