Search a number
-
+
10094841300 = 2235241980309
BaseRepresentation
bin10010110011011001…
…10000110111010100
3222001112020001221010
421121230300313110
5131133234410200
64345411252220
7505105510125
oct113154606724
928045201833
1010094841300
114310302755
121b588aa070
13c4b545b9b
146ba9b004c
153e1394150
hex259b30dd4

10094841300 has 72 divisors (see below), whose sum is σ = 29277813600. Its totient is φ = 2685499520.

The previous prime is 10094841221. The next prime is 10094841329. The reversal of 10094841300 is 314849001.

It is a happy number.

10094841300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85546 + ... + 165854.

It is an arithmetic number, because the mean of its divisors is an integer number (406636300).

Almost surely, 210094841300 is an apocalyptic number.

10094841300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10094841300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638906800).

10094841300 is an abundant number, since it is smaller than the sum of its proper divisors (19182972300).

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

10094841300 is a wasteful number, since it uses less digits than its factorization.

10094841300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80745 (or 80738 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 10094841300 in words is "ten billion, ninety-four million, eight hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 419 838 1257 1676 2095 2514 4190 5028 6285 8380 10475 12570 20950 25140 31425 41900 62850 80309 125700 160618 240927 321236 401545 481854 803090 963708 1204635 1606180 2007725 2409270 4015450 4818540 6023175 8030900 12046350 24092700 33649471 67298942 100948413 134597884 168247355 201896826 336494710 403793652 504742065 672989420 841236775 1009484130 1682473550 2018968260 2523710325 3364947100 5047420650 10094841300