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1003152211131 = 37140929338959
BaseRepresentation
bin11101001100100001000…
…01111111110010111011
310112220022101212100020110
432212100201333302323
5112413423431224011
62044501453155403
7132322022050650
oct16462041776273
93486271770213
101003152211131
113574862a8864
1214250178bb63
137379b374525
14367a4d51c27
151b163374ba6
hexe99087fcbb

1003152211131 has 16 divisors (see below), whose sum is σ = 1528628249600. Its totient is φ = 573224076288.

The previous prime is 1003152211129. The next prime is 1003152211169. The reversal of 1003152211131 is 1311122513001.

It is not a de Polignac number, because 1003152211131 - 21 = 1003152211129 is a prime.

It is a super-2 number, since 2×10031522111312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003152211098 and 1003152211107.

It is not an unprimeable number, because it can be changed into a prime (1003152211031) 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, 2790030 + ... + 3128988.

It is an arithmetic number, because the mean of its divisors is an integer number (95539265600).

Almost surely, 21003152211131 is an apocalyptic number.

1003152211131 is a deficient number, since it is larger than the sum of its proper divisors (525476038469).

1003152211131 is a wasteful number, since it uses less digits than its factorization.

1003152211131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479898.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 1003152211131 its reverse (1311122513001), we get a palindrome (2314274724132).

The spelling of 1003152211131 in words is "one trillion, three billion, one hundred fifty-two million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 21 140929 338959 422787 986503 1016877 2372713 2959509 7118139 47769152911 143307458733 334384070377 1003152211131