Search a number
-
+
101996235 = 32511375569
BaseRepresentation
bin1100001010001…
…01011011001011
321002220221112100
412011011123023
5202102334420
614042044443
72345645055
oct605053313
9232827470
10101996235
1152635310
122a1a9723
1318192303
14d7908d5
158e4b190
hex61456cb

101996235 has 48 divisors (see below), whose sum is σ = 198113760. Its totient is φ = 48107520.

The previous prime is 101996227. The next prime is 101996239. The reversal of 101996235 is 532699101.

101996235 is a `hidden beast` number, since 10 + 19 + 9 + 623 + 5 = 666.

It is not a de Polignac number, because 101996235 - 23 = 101996227 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101996235.

It is not an unprimeable number, because it can be changed into a prime (101996239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15531 + ... + 21099.

It is an arithmetic number, because the mean of its divisors is an integer number (4127370).

Almost surely, 2101996235 is an apocalyptic number.

101996235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101996235 is a deficient number, since it is larger than the sum of its proper divisors (96117525).

101996235 is a wasteful number, since it uses less digits than its factorization.

101996235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 101996235 is about 10099.3185413670. The cubic root of 101996235 is about 467.2271239682.

The spelling of 101996235 in words is "one hundred one million, nine hundred ninety-six thousand, two hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 37 45 55 99 111 165 185 333 407 495 555 1221 1665 2035 3663 5569 6105 16707 18315 27845 50121 61259 83535 183777 206053 250605 306295 551331 618159 918885 1030265 1854477 2266583 2756655 3090795 6799749 9272385 11332915 20399247 33998745 101996235