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101031243400 = 235243113103963
BaseRepresentation
bin101111000010111101…
…1100110111010001000
3100122210001002221020201
41132011323212322020
53123402444242100
6114225122101544
710204435254013
oct1360573467210
9318701087221
10101031243400
113993555957a
12176b71aa8b4
1396b1368839
144c65dc237a
152964a3d36a
hex1785ee6e88

101031243400 has 96 divisors (see below), whose sum is σ = 242489792160. Its totient is φ = 39122979840.

The previous prime is 101031243373. The next prime is 101031243403. The reversal of 101031243400 is 4342130101.

It is not an unprimeable number, because it can be changed into a prime (101031243403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919819 + ... + 1023781.

It is an arithmetic number, because the mean of its divisors is an integer number (2525935335).

Almost surely, 2101031243400 is an apocalyptic number.

101031243400 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 101031243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121244896080).

101031243400 is an abundant number, since it is smaller than the sum of its proper divisors (141458548760).

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

101031243400 is a wasteful number, since it uses less digits than its factorization.

101031243400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104135 (or 104126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 101031243400 its reverse (4342130101), we get a palindrome (105373373501).

The spelling of 101031243400 in words is "one hundred one billion, thirty-one million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 113 172 200 215 226 344 430 452 565 860 904 1075 1130 1720 2150 2260 2825 4300 4520 4859 5650 8600 9718 11300 19436 22600 24295 38872 48590 97180 103963 121475 194360 207926 242950 415852 485900 519815 831704 971800 1039630 2079260 2599075 4158520 4470409 5198150 8940818 10396300 11747819 17881636 20792600 22352045 23495638 35763272 44704090 46991276 58739095 89408180 93982552 111760225 117478190 178816360 223520450 234956380 293695475 447040900 469912760 505156217 587390950 894081800 1010312434 1174781900 2020624868 2349563800 2525781085 4041249736 5051562170 10103124340 12628905425 20206248680 25257810850 50515621700 101031243400