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101016683427 = 31141531408703
BaseRepresentation
bin101111000010100010…
…0000100001110100011
3100122202000201012201110
41132011010010032203
53123340232332202
6114223442034403
710204200433062
oct1360504041643
9318660635643
10101016683427
1139928314440
12176b2348a03
1396ab33b57a
144c640b21d9
15296361426c
hex17851043a3

101016683427 has 32 divisors (see below), whose sum is σ = 153357152256. Its totient is φ = 58602003200.

The previous prime is 101016683423. The next prime is 101016683437. The reversal of 101016683427 is 724386610101.

It is a cyclic number.

It is not a de Polignac number, because 101016683427 - 22 = 101016683423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101016683423) 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, 632643 + ... + 776060.

It is an arithmetic number, because the mean of its divisors is an integer number (4792411008).

Almost surely, 2101016683427 is an apocalyptic number.

101016683427 is a deficient number, since it is larger than the sum of its proper divisors (52340468829).

101016683427 is a wasteful number, since it uses less digits than its factorization.

101016683427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408811.

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 101016683427 in words is "one hundred one billion, sixteen million, six hundred eighty-three thousand, four hundred twenty-seven".

Divisors: 1 3 11 33 41 53 123 159 451 583 1353 1749 2173 6519 23903 71709 1408703 4226109 15495733 46487199 57756823 74661259 173270469 223983777 635325053 821273849 1905975159 2463821547 3061111619 9183334857 33672227809 101016683427