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101606442037 = 7310912769441
BaseRepresentation
bin101111010100000110…
…1110100010000110101
3100201021010110001102221
41132220031310100311
53131042222121122
6114402150402341
710224621335662
oct1365015642065
9321233401387
10101606442037
113a100207851
12178379603b1
13977358c769
144cbc550a69
15299a2ac6c7
hex17a8374435

101606442037 has 8 divisors (see below), whose sum is σ = 103943257880. Its totient is φ = 99295165440.

The previous prime is 101606442031. The next prime is 101606442073. The reversal of 101606442037 is 730244606101.

It can be written as a sum of positive squares in 4 ways, for example, as 44635435441 + 56971006596 = 211271^2 + 238686^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101606442037 - 227 = 101472224309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101606441993 and 101606442011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101606442031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6376764 + ... + 6392677.

It is an arithmetic number, because the mean of its divisors is an integer number (12992907235).

Almost surely, 2101606442037 is an apocalyptic number.

It is an amenable number.

101606442037 is a deficient number, since it is larger than the sum of its proper divisors (2336815843).

101606442037 is a wasteful number, since it uses less digits than its factorization.

101606442037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769623.

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 101606442037 in words is "one hundred one billion, six hundred six million, four hundred forty-two thousand, thirty-seven".

Divisors: 1 73 109 7957 12769441 932169193 1391869069 101606442037