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13101031400 = 235289736013
BaseRepresentation
bin11000011001110000…
…11101111111101000
31020211000220100111012
430030320131333220
5203312331001100
610004000323052
7642440633552
oct141470357750
936730810435
1013101031400
115613210886
122657613488
13130a2b6ab2
148c3d484d2
1551a25c135
hex30ce1dfe8

13101031400 has 48 divisors (see below), whose sum is σ = 30802185900. Its totient is φ = 5181524480.

The previous prime is 13101031393. The next prime is 13101031477. The reversal of 13101031400 is 413010131.

It can be written as a sum of positive squares in 6 ways, for example, as 3128612356 + 9972419044 = 55934^2 + 99862^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350207 + ... + 385806.

Almost surely, 213101031400 is an apocalyptic number.

13101031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101031400 is an abundant number, since it is smaller than the sum of its proper divisors (17701154500).

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

13101031400 is a wasteful number, since it uses less digits than its factorization.

13101031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736118 (or 736109 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13101031400 its reverse (413010131), we get a palindrome (13514041531).

The spelling of 13101031400 in words is "thirteen billion, one hundred one million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 736013 1472026 2944052 3680065 5888104 7360130 14720260 18400325 29440520 36800650 65505157 73601300 131010314 147202600 262020628 327525785 524041256 655051570 1310103140 1637628925 2620206280 3275257850 6550515700 13101031400