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10010903541 = 313164739371
BaseRepresentation
bin10010101001011001…
…00100001111110101
3221211200021120222020
421110230210033311
5131000242403131
64333212223353
7503036163462
oct112454441765
927750246866
1010010903541
114277992001
121b3476ab59
13c37037382
146ad7a0669
153d8d13996
hex254b243f5

10010903541 has 16 divisors (see below), whose sum is σ = 13470893568. Its totient is φ = 6612585200.

The previous prime is 10010903537. The next prime is 10010903587. The reversal of 10010903541 is 14530901001.

10010903541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010903541 - 22 = 10010903537 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010903531) 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, 234586 + ... + 273956.

It is an arithmetic number, because the mean of its divisors is an integer number (841930848).

Almost surely, 210010903541 is an apocalyptic number.

It is an amenable number.

10010903541 is a deficient number, since it is larger than the sum of its proper divisors (3459990027).

10010903541 is a wasteful number, since it uses less digits than its factorization.

10010903541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40152.

The product of its (nonzero) digits is 540, while the sum is 24.

The spelling of 10010903541 in words is "ten billion, ten million, nine hundred three thousand, five hundred forty-one".

Divisors: 1 3 131 393 647 1941 39371 84757 118113 254271 5157601 15472803 25473037 76419111 3336967847 10010903541