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120022200100 = 225211195742689
BaseRepresentation
bin110111111000111100…
…0010110111100100100
3102110210112221111022101
41233301320112330210
53431301140400400
6131045404141444
711446155603505
oct1576170267444
9373715844271
10120022200100
11469a0448410
121b317237884
13b41998b01a
145b48284bac
1531c6ddd56a
hex1bf1e16f24

120022200100 has 72 divisors (see below), whose sum is σ = 299079295200. Its totient is φ = 41347353600.

The previous prime is 120022200091. The next prime is 120022200113. The reversal of 120022200100 is 1002220021.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2850445 + ... + 2892244.

It is an arithmetic number, because the mean of its divisors is an integer number (4153879100).

Almost surely, 2120022200100 is an apocalyptic number.

120022200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022200100 is an abundant number, since it is smaller than the sum of its proper divisors (179057095100).

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

120022200100 is a wasteful number, since it uses less digits than its factorization.

120022200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742733 (or 5742726 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120022200100 its reverse (1002220021), we get a palindrome (121024420121).

The spelling of 120022200100 in words is "one hundred twenty billion, twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 5742689 11485378 22970756 28713445 57426890 63169579 109111091 114853780 126339158 143567225 218222182 252678316 287134450 315847895 436444364 545555455 574268900 631695790 1091110910 1200222001 1263391580 1579239475 2182221820 2400444002 2727777275 3158478950 4800888004 5455554550 6001110005 6316957900 10911109100 12002220010 24004440020 30005550025 60011100050 120022200100