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10003111141131 = 325036221355193
BaseRepresentation
bin1001000110010000011111…
…1000101101111100001011
31022102021210000101121010200
42101210013320231330023
52302342332423004011
633135211003343243
72051462263533513
oct221440770557413
938367700347120
1010003111141131
113207328505439
121156805821b23
1357739b884634
142682203c6843
1512530d13c856
hex91907e2df0b

10003111141131 has 24 divisors (see below), whose sum is σ = 14480031829536. Its totient is φ = 6654394250880.

The previous prime is 10003111141103. The next prime is 10003111141201. The reversal of 10003111141131 is 13114111130001.

10003111141131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003111141131 - 29 = 10003111140619 is a prime.

It is a super-2 number, since 2×100031111411312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10003111841131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27984871 + ... + 28340063.

It is an arithmetic number, because the mean of its divisors is an integer number (603334659564).

Almost surely, 210003111141131 is an apocalyptic number.

10003111141131 is a deficient number, since it is larger than the sum of its proper divisors (4476920688405).

10003111141131 is a wasteful number, since it uses less digits than its factorization.

10003111141131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361923 (or 361920 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10003111141131 its reverse (13114111130001), we get a palindrome (23117222271132).

The spelling of 10003111141131 in words is "ten trillion, three billion, one hundred eleven million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 503 1509 4527 6221 18663 55989 355193 1065579 3129163 3196737 9387489 28162467 178662079 535986237 1607958711 2209655653 6628966959 19886900877 1111456793459 3334370380377 10003111141131