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311330012240 = 24513299355781
BaseRepresentation
bin1001000011111001011…
…01101111110001010000
31002202121010100021200002
410201330231233301100
520100100440342430
6355004550345132
731331022304112
oct4417455576120
91082533307602
10311330012240
11110041748185
125040795b1a8
1323487231770
14110d5b993b2
1581721d9845
hex487cb6fc50

311330012240 has 40 divisors (see below), whose sum is σ = 779522456328. Its totient is φ = 114952619520.

The previous prime is 311330012221. The next prime is 311330012243. The reversal of 311330012240 is 42210033113.

It can be written as a sum of positive squares in 4 ways, for example, as 666465856 + 310663546384 = 25816^2 + 557372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311330012243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149676851 + ... + 149678930.

Almost surely, 2311330012240 is an apocalyptic number.

It is an amenable number.

311330012240 is an abundant number, since it is smaller than the sum of its proper divisors (468192444088).

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

311330012240 is a wasteful number, since it uses less digits than its factorization.

311330012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299355807 (or 299355801 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 311330012240 its reverse (42210033113), we get a palindrome (353540045353).

The spelling of 311330012240 in words is "three hundred eleven billion, three hundred thirty million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 299355781 598711562 1197423124 1496778905 2394846248 2993557810 3891625153 4789692496 5987115620 7783250306 11974231240 15566500612 19458125765 23948462480 31133001224 38916251530 62266002448 77832503060 155665006120 311330012240