Search a number
-
+
101043954 = 232112172729
BaseRepresentation
bin1100000010111…
…00111011110010
321001010120020200
412001130323302
5201331401304
614005420030
72334600534
oct601347362
9231116220
10101043954
1152044900
1229a0a616
1317c1aa2b
14d5c3854
158d0de39
hex605cef2

101043954 has 72 divisors (see below), whose sum is σ = 254889180. Its totient is φ = 28807680.

The previous prime is 101043883. The next prime is 101043979. The reversal of 101043954 is 459340101.

It can be written as a sum of positive squares in 2 ways, for example, as 82355625 + 18688329 = 9075^2 + 4323^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35662 + ... + 38390.

Almost surely, 2101043954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101043954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127444590).

101043954 is an abundant number, since it is smaller than the sum of its proper divisors (153845226).

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

101043954 is a wasteful number, since it uses less digits than its factorization.

101043954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101043954 is about 10052.0621764890. The cubic root of 101043954 is about 465.7684968232.

The spelling of 101043954 in words is "one hundred one million, forty-three thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 2729 3366 4114 5458 6171 8187 12342 16374 18513 24561 30019 37026 46393 49122 60038 90057 92786 139179 180114 270171 278358 330209 417537 510323 540342 660418 835074 990627 1020646 1530969 1981254 2971881 3061938 4592907 5613553 5943762 9185814 11227106 16840659 33681318 50521977 101043954