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311130312140 = 2251011019151153
BaseRepresentation
bin1001000011100001100…
…11111100110111001100
31002202002012120110122002
410201300303330313030
520044143324442030
6354533054211432
731323046006064
oct4416063746714
91082065513562
10311130312140
1110aa49a4a57a
1250370ab3b78
1323454a50b1b
14110b74543a4
15815e8de245
hex4870cfcdcc

311130312140 has 48 divisors (see below), whose sum is σ = 660494610720. Its totient is φ = 123098188800.

The previous prime is 311130312131. The next prime is 311130312149. The reversal of 311130312140 is 41213031113.

It is an interprime number because it is at equal distance from previous prime (311130312131) and next prime (311130312149).

It is a super-2 number, since 2×3111303121402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (311130312149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982804 + ... + 2133956.

It is an arithmetic number, because the mean of its divisors is an integer number (13760304390).

Almost surely, 2311130312140 is an apocalyptic number.

It is an amenable number.

311130312140 is an abundant number, since it is smaller than the sum of its proper divisors (349364298580).

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

311130312140 is a wasteful number, since it uses less digits than its factorization.

311130312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152282 (or 152280 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 311130312140 its reverse (41213031113), we get a palindrome (352343343253).

The spelling of 311130312140 in words is "three hundred eleven billion, one hundred thirty million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 1019 2020 2038 4076 5095 10190 20380 102919 151153 205838 302306 411676 514595 604612 755765 1029190 1511530 2058380 3023060 15266453 30532906 61065812 76332265 152664530 154024907 305329060 308049814 616099628 770124535 1540249070 3080498140 15556515607 31113031214 62226062428 77782578035 155565156070 311130312140