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101032435405 = 5112166995761
BaseRepresentation
bin101111000011000000…
…0001001111011001101
3100122210010100111101001
41132012000021323031
53123403300413110
6114225203420301
710204451350156
oct1360600117315
9318703314331
10101032435405
11399361a3100
12176b7684691
1396b1695275
144c6621292d
152964bc663a
hex1786009ecd

101032435405 has 12 divisors (see below), whose sum is σ = 133262618076. Its totient is φ = 73478134400.

The previous prime is 101032435391. The next prime is 101032435411. The reversal of 101032435405 is 504534230101.

It can be written as a sum of positive squares in 2 ways, for example, as 30509259561 + 70523175844 = 174669^2 + 265562^2 .

It is not a de Polignac number, because 101032435405 - 213 = 101032427213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83497276 + ... + 83498485.

It is an arithmetic number, because the mean of its divisors is an integer number (11105218173).

Almost surely, 2101032435405 is an apocalyptic number.

It is an amenable number.

101032435405 is a deficient number, since it is larger than the sum of its proper divisors (32230182671).

101032435405 is a wasteful number, since it uses less digits than its factorization.

101032435405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166995788 (or 166995777 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 101032435405 its reverse (504534230101), we get a palindrome (605566665506).

The spelling of 101032435405 in words is "one hundred one billion, thirty-two million, four hundred thirty-five thousand, four hundred five".

Divisors: 1 5 11 55 121 605 166995761 834978805 1836953371 9184766855 20206487081 101032435405