Search a number
-
+
312320000100 = 223521041066667
BaseRepresentation
bin1001000101101111011…
…10010000000001100100
31002212011010011212201010
410202313232100001210
520104112410000400
6355251113302220
731364403125103
oct4426756200144
91085133155633
10312320000100
111104aa552769
1250643404970
13235b43746b4
141118b45c03a
1581ce08e450
hex48b7b90064

312320000100 has 36 divisors (see below), whose sum is σ = 903645867824. Its totient is φ = 83285333280.

The previous prime is 312320000089. The next prime is 312320000101. The reversal of 312320000100 is 1000023213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (312320000101) 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, 520533034 + ... + 520533633.

Almost surely, 2312320000100 is an apocalyptic number.

312320000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312320000100 is an abundant number, since it is smaller than the sum of its proper divisors (591325867724).

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

312320000100 is a wasteful number, since it uses less digits than its factorization.

312320000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041066684 (or 1041066677 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 312320000100 its reverse (1000023213), we get a palindrome (313320023313).

The spelling of 312320000100 in words is "three hundred twelve billion, three hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1041066667 2082133334 3123200001 4164266668 5205333335 6246400002 10410666670 12492800004 15616000005 20821333340 26026666675 31232000010 52053333350 62464000020 78080000025 104106666700 156160000050 312320000100