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122140103100 = 22352407133677
BaseRepresentation
bin111000111000000011…
…1100001000110111100
3102200021011011010001020
41301300013201012330
54000120331244400
6132035502144140
711552513514021
oct1616007410674
9380234133036
10122140103100
11478879a4274
121b808582050
13b6966a6972
145ca9671548
15329cce02a0
hex1c701e11bc

122140103100 has 36 divisors (see below), whose sum is σ = 353392032504. Its totient is φ = 32570694080.

The previous prime is 122140103093. The next prime is 122140103143. The reversal of 122140103100 is 1301041221.

It is a super-3 number, since 3×1221401031003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122140103100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203566539 + ... + 203567138.

Almost surely, 2122140103100 is an apocalyptic number.

122140103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122140103100 is an abundant number, since it is smaller than the sum of its proper divisors (231251929404).

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

122140103100 is a wasteful number, since it uses less digits than its factorization.

122140103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407133694 (or 407133687 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122140103100 its reverse (1301041221), we get a palindrome (123441144321).

The spelling of 122140103100 in words is "one hundred twenty-two billion, one hundred forty million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 407133677 814267354 1221401031 1628534708 2035668385 2442802062 4071336770 4885604124 6107005155 8142673540 10178341925 12214010310 20356683850 24428020620 30535025775 40713367700 61070051550 122140103100