Search a number
-
+
120010312300100 = 22521770594301353
BaseRepresentation
bin11011010010011000010100…
…000010001011011001000100
3120201220212121000012011021012
4123102120110002023121010
5111212222104422100400
61103123550521141352
734164313262245055
oct3322302402133104
9521825530164235
10120010312300100
113526a0a66a3982
121156297692a858
1351c6c01a306b1
14218c75c88872c
15dd1b24b51d35
hex6d261408b644

120010312300100 has 36 divisors (see below), whose sum is σ = 275741341088724. Its totient is φ = 45180352865280.

The previous prime is 120010312300063. The next prime is 120010312300111. The reversal of 120010312300100 is 1003213010021.

120010312300100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4351988444164 + 115658323855936 = 2086142^2 + 10754456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35297148977 + ... + 35297152376.

It is an arithmetic number, because the mean of its divisors is an integer number (7659481696909).

Almost surely, 2120010312300100 is an apocalyptic number.

120010312300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010312300100 is an abundant number, since it is smaller than the sum of its proper divisors (155731028788624).

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

120010312300100 is a wasteful number, since it uses less digits than its factorization.

120010312300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70594301384 (or 70594301377 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120010312300100 its reverse (1003213010021), we get a palindrome (121013525310121).

The spelling of 120010312300100 in words is "one hundred twenty trillion, ten billion, three hundred twelve million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 70594301353 141188602706 282377205412 352971506765 705943013530 1200103123001 1411886027060 1764857533825 2400206246002 3529715067650 4800412492004 6000515615005 7059430135300 12001031230010 24002062460020 30002578075025 60005156150050 120010312300100