Search a number
-
+
31141122100 = 22521128310111
BaseRepresentation
bin11101000000001001…
…111101000000110100
32222101021111220121121
4131000021331000310
51002234111401400
622150034153324
72151464112304
oct350011750064
988337456547
1031141122100
1112230395a50
126051122844
132c2391328a
141715c0d604
15c23dd421a
hex74027d034

31141122100 has 36 divisors (see below), whose sum is σ = 73719531648. Its totient is φ = 11324044000.

The previous prime is 31141122091. The next prime is 31141122107. The reversal of 31141122100 is 122114113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31141122107) 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, 14153956 + ... + 14156155.

It is an arithmetic number, because the mean of its divisors is an integer number (2047764768).

Almost surely, 231141122100 is an apocalyptic number.

It is an amenable number.

31141122100 is an abundant number, since it is smaller than the sum of its proper divisors (42578409548).

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

31141122100 is a wasteful number, since it uses less digits than its factorization.

31141122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28310136 (or 28310129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 31141122100 its reverse (122114113), we get a palindrome (31263236213).

The spelling of 31141122100 in words is "thirty-one billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 28310111 56620222 113240444 141550555 283101110 311411221 566202220 622822442 707752775 1245644884 1415505550 1557056105 2831011100 3114112210 6228224420 7785280525 15570561050 31141122100