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102411033012 = 223221131346309
BaseRepresentation
bin101111101100000101…
…1000101100110110100
3100210100012102111202200
41133120023011212310
53134214211024022
6115014051504500
710253561263161
oct1373013054664
9323305374680
10102411033012
113a4833a3972
1217a212b8130
13987118c1b2
144d57353068
1529e5c3ebac
hex17d82c59b4

102411033012 has 36 divisors (see below), whose sum is σ = 258995039940. Its totient is φ = 34120829952.

The previous prime is 102411032963. The next prime is 102411033013. The reversal of 102411033012 is 210330114201.

It can be written as a sum of positive squares in 2 ways, for example, as 41344715556 + 61066317456 = 203334^2 + 247116^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102411033013) by changing a digit.

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, 597087 + ... + 749222.

It is an arithmetic number, because the mean of its divisors is an integer number (7194306665).

Almost surely, 2102411033012 is an apocalyptic number.

102411033012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102411033012 is an abundant number, since it is smaller than the sum of its proper divisors (156584006928).

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

102411033012 is a wasteful number, since it uses less digits than its factorization.

102411033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348432 (or 1348427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102411033012 its reverse (210330114201), we get a palindrome (312741147213).

The spelling of 102411033012 in words is "one hundred two billion, four hundred eleven million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2113 4226 6339 8452 12678 19017 25356 38034 76068 1346309 2692618 4038927 5385236 8077854 12116781 16155708 24233562 48467124 2844750917 5689501834 8534252751 11379003668 17068505502 25602758253 34137011004 51205516506 102411033012