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10143037332 = 2232299715553
BaseRepresentation
bin10010111001001001…
…00111011110010100
3222011212220200110100
421130210213132110
5131233104143312
64354252254100
7506232252261
oct113444473624
928155820410
1010143037332
11433553108a
121b70a71330
13c5851c14c
146c3158268
153e57145dc
hex25c927794

10143037332 has 36 divisors (see below), whose sum is σ = 26523462420. Its totient is φ = 3264425472.

The previous prime is 10143037321. The next prime is 10143037423. The reversal of 10143037332 is 23373034101.

10143037332 is a `hidden beast` number, since 10 + 14 + 303 + 7 + 332 = 666.

10143037332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6469950096 + 3673087236 = 80436^2 + 60606^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10143037296 and 10143037305.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4856733 + ... + 4858820.

It is an arithmetic number, because the mean of its divisors is an integer number (736762845).

Almost surely, 210143037332 is an apocalyptic number.

10143037332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10143037332 is an abundant number, since it is smaller than the sum of its proper divisors (16380425088).

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

10143037332 is a wasteful number, since it uses less digits than its factorization.

10143037332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715592 (or 9715587 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 10143037332 in words is "ten billion, one hundred forty-three million, thirty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 9715553 19431106 29146659 38862212 58293318 87439977 116586636 174879954 281751037 349759908 563502074 845253111 1127004148 1690506222 2535759333 3381012444 5071518666 10143037332