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245412024100 = 22522938375837
BaseRepresentation
bin1110010010001110110…
…0100100111100100100
3212110110012000112100221
43210203230210330210
513010100434232400
6304423555214124
723505352533505
oct3444354447444
9773405015327
10245412024100
1195095765031
123b68bba7344
131a1b06c1859
14bc41364bac
1565b514dc1a
hex3923b24f24

245412024100 has 36 divisors (see below), whose sum is σ = 534361712724. Its totient is φ = 97829764480.

The previous prime is 245412024047. The next prime is 245412024107. The reversal of 245412024100 is 1420214542.

It can be written as a sum of positive squares in 6 ways, for example, as 52346694436 + 193065329664 = 228794^2 + 439392^2 .

It is a super-3 number, since 3×2454120241003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (245412024107) 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, 4158619 + ... + 4217218.

It is an arithmetic number, because the mean of its divisors is an integer number (14843380909).

Almost surely, 2245412024100 is an apocalyptic number.

245412024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245412024100 is an abundant number, since it is smaller than the sum of its proper divisors (288949688624).

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

245412024100 is a wasteful number, since it uses less digits than its factorization.

245412024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376144 (or 8376137 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 245412024100 its reverse (1420214542), we get a palindrome (246832238642).

The spelling of 245412024100 in words is "two hundred forty-five billion, four hundred twelve million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1172 1465 2930 5860 7325 14650 29300 8375837 16751674 33503348 41879185 83758370 167516740 209395925 418791850 837583700 2454120241 4908240482 9816480964 12270601205 24541202410 49082404820 61353006025 122706012050 245412024100