Search a number
-
+
122101232100 = 223523711000111
BaseRepresentation
bin111000110110111001…
…1001111000111100100
3102200011110000021001120
41301231303033013210
54000030403411400
6132031553053540
711551532230341
oct1615563170744
9380143007046
10122101232100
1147867a64981
121b7b75572b0
13b68b616c83
145ca44337c8
1532996b2ca0
hex1c6dccf1e4

122101232100 has 72 divisors (see below), whose sum is σ = 362827694208. Its totient is φ = 31680316800.

The previous prime is 122101232069. The next prime is 122101232117. The reversal of 122101232100 is 1232101221.

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 122101232100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5488956 + ... + 5511155.

Almost surely, 2122101232100 is an apocalyptic number.

122101232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101232100 is an abundant number, since it is smaller than the sum of its proper divisors (240726462108).

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

122101232100 is a wasteful number, since it uses less digits than its factorization.

122101232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000165 (or 11000158 counting only the distinct ones).

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

Adding to 122101232100 its reverse (1232101221), we get a palindrome (123333333321).

The spelling of 122101232100 in words is "one hundred twenty-two billion, one hundred one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 11000111 22000222 33000333 44000444 55000555 66000666 110001110 132001332 165001665 220002220 275002775 330003330 407004107 550005550 660006660 814008214 825008325 1100011100 1221012321 1628016428 1650016650 2035020535 2442024642 3300033300 4070041070 4884049284 6105061605 8140082140 10175102675 12210123210 20350205350 24420246420 30525308025 40700410700 61050616050 122101232100