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120100201100 = 225211140977489
BaseRepresentation
bin110111111011010000…
…1111010001010001100
3102110222222201100120022
41233312201322022030
53431431122413400
6131101232041312
711451123602615
oct1576641721214
9373888640508
10120100201100
1146a30483750
121b339393238
13b42cb9b569
145b5478ac0c
1531cdb99b85
hex1bf687a28c

120100201100 has 72 divisors (see below), whose sum is σ = 284515383600. Its totient is φ = 43641241600.

The previous prime is 120100201099. The next prime is 120100201253. The reversal of 120100201100 is 1102001021.

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, 1511156 + ... + 1588644.

It is an arithmetic number, because the mean of its divisors is an integer number (3951602550).

Almost surely, 2120100201100 is an apocalyptic number.

120100201100 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 120100201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142257691800).

120100201100 is an abundant number, since it is smaller than the sum of its proper divisors (164415182500).

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

120100201100 is a wasteful number, since it uses less digits than its factorization.

120100201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78923 (or 78916 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120100201100 its reverse (1102001021), we get a palindrome (121202202121).

The spelling of 120100201100 in words is "one hundred twenty billion, one hundred million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1409 2818 5636 7045 14090 15499 28180 30998 35225 61996 70450 77489 77495 140900 154978 154990 309956 309980 387445 387475 774890 774950 852379 1549780 1549900 1704758 1937225 3409516 3874450 4261895 7748900 8523790 17047580 21309475 42618950 85237900 109182001 218364002 436728004 545910005 1091820010 1201002011 2183640020 2402004022 2729550025 4804008044 5459100050 6005010055 10918200100 12010020110 24020040220 30025050275 60050100550 120100201100