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2106950427 = 332911323813
BaseRepresentation
bin111110110010101…
…1000001100011011
312102211121011122000
41331211120030123
513303334403202
6545023132043
7103132532421
oct17545301433
95384534560
102106950427
1199135604a
124a9744023
1327768263a
1415db79111
15c4e8b91c
hex7d95831b

2106950427 has 32 divisors (see below), whose sum is σ = 3257755200. Its totient is φ = 1344139776.

The previous prime is 2106950399. The next prime is 2106950473. The reversal of 2106950427 is 7240596012.

It is not a de Polignac number, because 2106950427 - 220 = 2105901851 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2106950391 and 2106950400.

It is not an unprimeable number, because it can be changed into a prime (2106950477) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76573 + ... + 100385.

It is an arithmetic number, because the mean of its divisors is an integer number (101804850).

Almost surely, 22106950427 is an apocalyptic number.

2106950427 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2106950427 is a deficient number, since it is larger than the sum of its proper divisors (1150804773).

2106950427 is a wasteful number, since it uses less digits than its factorization.

2106950427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23964 (or 23958 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2106950427 is about 45901.5296803930. The cubic root of 2106950427 is about 1281.9903984052.

The spelling of 2106950427 in words is "two billion, one hundred six million, nine hundred fifty thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 29 87 113 261 339 783 1017 3051 3277 9831 23813 29493 71439 88479 214317 642951 690577 2071731 2690869 6215193 8072607 18645579 24217821 72653463 78035201 234105603 702316809 2106950427