Search a number
-
+
3331123020100 = 225261546085741
BaseRepresentation
bin110000011110010110011…
…001111000000101000100
3102210110012200122112112101
4300132112121320011010
5414034114443120400
611030144035001444
7462444222326401
oct60362631700504
912713180575471
103331123020100
1110747a3114697
12459716439284
131b217b5a4525
14b73276952a8
155b9b440d56a
hex30796678144

3331123020100 has 36 divisors (see below), whose sum is σ = 7347037572868. Its totient is φ = 1310605776000.

The previous prime is 3331123020097. The next prime is 3331123020109. The reversal of 3331123020100 is 10203211333.

It can be written as a sum of positive squares in 6 ways, for example, as 1723212794944 + 1607910225156 = 1312712^2 + 1268034^2 .

It is a super-2 number, since 2×33311230201002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331123020109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273036771 + ... + 273048970.

Almost surely, 23331123020100 is an apocalyptic number.

It is an amenable number.

3331123020100 is an abundant number, since it is smaller than the sum of its proper divisors (4015914552768).

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

3331123020100 is a wasteful number, since it uses less digits than its factorization.

3331123020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546085816 (or 546085809 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3331123020100 its reverse (10203211333), we get a palindrome (3341326231433).

The spelling of 3331123020100 in words is "three trillion, three hundred thirty-one billion, one hundred twenty-three million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 546085741 1092171482 2184342964 2730428705 5460857410 10921714820 13652143525 27304287050 33311230201 54608574100 66622460402 133244920804 166556151005 333112302010 666224604020 832780755025 1665561510050 3331123020100