Search a number
-
+
120221111100 = 2235219143914657
BaseRepresentation
bin110111111110110111…
…1001001001100111100
3102111022102020012220110
41233331233021030330
53432203101023400
6131121231350020
711454122404116
oct1577557111474
9374272205813
10120221111100
1146a92757172
121b371982310
13b44bc5373c
145b668623b6
1531d95cee50
hex1bfdbc933c

120221111100 has 144 divisors (see below), whose sum is σ = 366426547200. Its totient is φ = 30348472320.

The previous prime is 120221111069. The next prime is 120221111137. The reversal of 120221111100 is 1111122021.

120221111100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8194972 + ... + 8209628.

It is an arithmetic number, because the mean of its divisors is an integer number (2544628800).

Almost surely, 2120221111100 is an apocalyptic number.

120221111100 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 120221111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183213273600).

120221111100 is an abundant number, since it is smaller than the sum of its proper divisors (246205436100).

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

120221111100 is a wasteful number, since it uses less digits than its factorization.

120221111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16132 (or 16125 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120221111100 its reverse (1111122021), we get a palindrome (121332233121).

The spelling of 120221111100 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1439 1900 2850 2878 4317 5700 5756 7195 8634 14390 14657 17268 21585 27341 28780 29314 35975 43170 43971 54682 58628 71950 73285 82023 86340 87942 107925 109364 136705 143900 146570 164046 175884 215850 219855 273410 278483 293140 328092 366425 410115 431700 439710 546820 556966 683525 732850 820230 835449 879420 1099275 1113932 1367050 1392415 1465700 1640460 1670898 2050575 2198550 2734100 2784830 3341796 4101150 4177245 4397100 5569660 6962075 8202300 8354490 13924150 16708980 20886225 21091423 27848300 41772450 42182846 63274269 83544900 84365692 105457115 126548538 210914230 253097076 316371345 400737037 421828460 527285575 632742690 801474074 1054571150 1202211111 1265485380 1581856725 1602948148 2003685185 2109142300 2404422222 3163713450 4007370370 4808844444 6011055555 6327426900 8014740740 10018425925 12022111110 20036851850 24044222220 30055277775 40073703700 60110555550 120221111100