Search a number
-
+
101436030 = 23353112119
BaseRepresentation
bin1100000101111…
…00101001111110
321001212111002000
412002330221332
5201431423110
614022043130
72341122603
oct602745176
9231774060
10101436030
1152292433
1229b794a6
1318027327
14d6866aa
158d8a1c0
hex60bca7e

101436030 has 64 divisors (see below), whose sum is σ = 279244800. Its totient is φ = 26174880.

The previous prime is 101436019. The next prime is 101436031. The reversal of 101436030 is 30634101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101435994 and 101436012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101436031) 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, 2311 + ... + 14429.

It is an arithmetic number, because the mean of its divisors is an integer number (4363200).

Almost surely, 2101436030 is an apocalyptic number.

101436030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101436030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139622400).

101436030 is an abundant number, since it is smaller than the sum of its proper divisors (177808770).

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

101436030 is a wasteful number, since it uses less digits than its factorization.

101436030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 101436030 is about 10071.5455616305. The cubic root of 101436030 is about 466.3701523413.

The spelling of 101436030 in words is "one hundred one million, four hundred thirty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 12119 24238 36357 60595 72714 109071 121190 181785 218142 327213 363570 375689 545355 654426 751378 1090710 1127067 1636065 1878445 2254134 3272130 3381201 3756890 5635335 6762402 10143603 11270670 16906005 20287206 33812010 50718015 101436030