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120130111100 = 225219943913751
BaseRepresentation
bin110111111100001010…
…0000000011001111100
3102111002001222221101002
41233320110000121330
53432011302023400
6131104221105432
711451636045026
oct1577024003174
9374061887332
10120130111100
1146a4635255a
121b3473b8278
13b43614159c
145b58735016
1531d1606ed5
hex1bf850067c

120130111100 has 72 divisors (see below), whose sum is σ = 262608192000. Its totient is φ = 47698200000.

The previous prime is 120130110979. The next prime is 120130111121. The reversal of 120130111100 is 1111031021.

It is a happy number.

120130111100 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8729225 + ... + 8742975.

It is an arithmetic number, because the mean of its divisors is an integer number (3647336000).

Almost surely, 2120130111100 is an apocalyptic number.

120130111100 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 120130111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131304096000).

120130111100 is an abundant number, since it is smaller than the sum of its proper divisors (142478080900).

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

120130111100 is a wasteful number, since it uses less digits than its factorization.

120130111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14403 (or 14396 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 120130111100 its reverse (1111031021), we get a palindrome (121241142121).

The spelling of 120130111100 in words is "one hundred twenty billion, one hundred thirty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 439 796 878 995 1756 1990 2195 3980 4390 4975 8780 9950 10975 13751 19900 21950 27502 43900 55004 68755 87361 137510 174722 275020 343775 349444 436805 687550 873610 1375100 1747220 2184025 2736449 4368050 5472898 6036689 8736100 10945796 12073378 13682245 24146756 27364490 30183445 54728980 60366890 68411225 120733780 136822450 150917225 273644900 301834450 603668900 1201301111 2402602222 4805204444 6006505555 12013011110 24026022220 30032527775 60065055550 120130111100