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1003041034131 = 38911087338839
BaseRepresentation
bin11101001100010011110…
…01111000111110010011
310112220000122122222001210
432212021321320332103
5112413212001043011
62044442442231203
7132316202054523
oct16461171707623
93486018588053
101003041034131
11357429572944
121424904b5503
1373781319516
1436794291683
151b1587136a6
hexe989e78f93

1003041034131 has 16 divisors (see below), whose sum is σ = 1352540851200. Its totient is φ = 661119019968.

The previous prime is 1003041034103. The next prime is 1003041034189. The reversal of 1003041034131 is 1314301403001.

It is not a de Polignac number, because 1003041034131 - 27 = 1003041034003 is a prime.

It is a super-2 number, since 2×10030410341312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003041034098 and 1003041034107.

It is not an unprimeable number, because it can be changed into a prime (1003041034231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790810 + ... + 3129648.

It is an arithmetic number, because the mean of its divisors is an integer number (84533803200).

Almost surely, 21003041034131 is an apocalyptic number.

1003041034131 is a deficient number, since it is larger than the sum of its proper divisors (349499817069).

1003041034131 is a wasteful number, since it uses less digits than its factorization.

1003041034131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350018.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1003041034131 its reverse (1314301403001), we get a palindrome (2317342437132).

The spelling of 1003041034131 in words is "one trillion, three billion, forty-one million, thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 89 267 11087 33261 338839 986743 1016517 2960229 30156671 90470013 3756707993 11270123979 334347011377 1003041034131