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13300100232 = 2334716277247
BaseRepresentation
bin11000110001011111…
…10110110010001000
31021022220111002120220
430120233312302020
5204214311201412
610035431150040
7650405662266
oct143057666210
937286432526
1013300100232
115705618181
1226b2215320
13133c6062c3
14902567436
1552c98068c
hex318bf6c88

13300100232 has 64 divisors (see below), whose sum is σ = 33983262720. Its totient is φ = 4335774528.

The previous prime is 13300100213. The next prime is 13300100237. The reversal of 13300100232 is 23200100331.

13300100232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13300100237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831633 + ... + 1838879.

It is an arithmetic number, because the mean of its divisors is an integer number (530988480).

Almost surely, 213300100232 is an apocalyptic number.

13300100232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16991631360).

13300100232 is an abundant number, since it is smaller than the sum of its proper divisors (20683162488).

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

13300100232 is a wasteful number, since it uses less digits than its factorization.

13300100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8930 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13300100232 its reverse (23200100331), we get a palindrome (36500200563).

Subtracting 13300100232 from its reverse (23200100331), we obtain a palindrome (9900000099).

The spelling of 13300100232 in words is "thirteen billion, three hundred million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1627 3254 4881 6508 7247 9762 13016 14494 19524 21741 28988 39048 43482 57976 76469 86964 152938 173928 229407 305876 340609 458814 611752 681218 917628 1021827 1362436 1835256 2043654 2724872 4087308 8174616 11790869 23581738 35372607 47163476 70745214 94326952 141490428 282980856 554170843 1108341686 1662512529 2216683372 3325025058 4433366744 6650050116 13300100232