Search a number
-
+
101235948 = 22311766939
BaseRepresentation
bin1100000100010…
…11110011101100
321001111022121120
412002023303230
5201404022243
614013500540
72336330352
oct602136354
9231438546
10101235948
1152166080
1229aa1750
1317c87238
14d6337d2
158d4ac83
hex608bcec

101235948 has 24 divisors (see below), whose sum is σ = 257691840. Its totient is φ = 30677520.

The previous prime is 101235931. The next prime is 101235961. The reversal of 101235948 is 849532101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 383338 + ... + 383601.

It is an arithmetic number, because the mean of its divisors is an integer number (10737160).

Almost surely, 2101235948 is an apocalyptic number.

It is an amenable number.

101235948 is an abundant number, since it is smaller than the sum of its proper divisors (156455892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101235948 is a wasteful number, since it uses less digits than its factorization.

101235948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766957 (or 766955 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 101235948 is about 10061.6076250269. The cubic root of 101235948 is about 466.0633130036.

The spelling of 101235948 in words is "one hundred one million, two hundred thirty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 766939 1533878 2300817 3067756 4601634 8436329 9203268 16872658 25308987 33745316 50617974 101235948