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100331111013 = 3737731768853
BaseRepresentation
bin101110101110000110…
…0110100001001100101
3100120222020200112011120
41131130030310021211
53120434231023023
6114031431524153
710151204241510
oct1353414641145
9316866615146
10100331111013
1139606329771
1217540829659
1395cc2b1113
144bdb011d77
1529233418e3
hex175c334265

100331111013 has 32 divisors (see below), whose sum is σ = 159168558336. Its totient is φ = 55018372608.

The previous prime is 100331111011. The next prime is 100331111033. The reversal of 100331111013 is 310111133001.

It is not a de Polignac number, because 100331111013 - 21 = 100331111011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100331110983 and 100331111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331111011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827706 + ... + 941147.

It is an arithmetic number, because the mean of its divisors is an integer number (4974017448).

Almost surely, 2100331111013 is an apocalyptic number.

It is an amenable number.

100331111013 is a deficient number, since it is larger than the sum of its proper divisors (58837447323).

100331111013 is a wasteful number, since it uses less digits than its factorization.

100331111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768973.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100331111013 its reverse (310111133001), we get a palindrome (410442244014).

The spelling of 100331111013 in words is "one hundred billion, three hundred thirty-one million, one hundred eleven thousand, thirteen".

Divisors: 1 3 7 21 37 73 111 219 259 511 777 1533 2701 8103 18907 56721 1768853 5306559 12381971 37145913 65447561 129126269 196342683 387378807 458132927 903883883 1374398781 2711651649 4777671953 14333015859 33443703671 100331111013