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103032101133 = 32132321664681
BaseRepresentation
bin101111111110100110…
…0010001100100001101
3100211221111002001001200
41133331030101210031
53142002204214013
6115155435300113
710305142260333
oct1377514214415
9324844061050
10103032101133
113a771a31605
1217b752aa639
13993ca53420
144db5a21b53
152a3051ee73
hex17fd31190d

103032101133 has 36 divisors (see below), whose sum is σ = 167543584572. Its totient is φ = 60647621760.

The previous prime is 103032101101. The next prime is 103032101143. The reversal of 103032101133 is 331101230301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62493500169 + 40538600964 = 249987^2 + 201342^2 .

It is not a de Polignac number, because 103032101133 - 25 = 103032101101 is a prime.

It is a super-2 number, since 2×1030321011332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032101143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 770448 + ... + 894233.

Almost surely, 2103032101133 is an apocalyptic number.

103032101133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103032101133 is a deficient number, since it is larger than the sum of its proper divisors (64511483439).

103032101133 is a wasteful number, since it uses less digits than its factorization.

103032101133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664746 (or 1664720 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103032101133 its reverse (331101230301), we get a palindrome (434133331434).

The spelling of 103032101133 in words is "one hundred three billion, thirty-two million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 13 23 39 69 117 207 299 529 897 1587 2691 4761 6877 20631 61893 1664681 4994043 14982129 21640853 38287663 64922559 114862989 194767677 344588967 497739619 880616249 1493218857 2641848747 4479656571 7925546241 11448011237 34344033711 103032101133