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103100331400 = 235211109429943
BaseRepresentation
bin110000000000101000…
…0100011010110001000
3100212010020110111101121
41200001100203112020
53142122141101100
6115210313525024
710306631233363
oct1400120432610
9325106414347
10103100331400
113a7a74a3a60
1217b94113774
139950c22571
144dc0b030da
152a364eb51a
hex1801423588

103100331400 has 96 divisors (see below), whose sum is σ = 263899627200. Its totient is φ = 37146988800.

The previous prime is 103100331359. The next prime is 103100331407. The reversal of 103100331400 is 4133001301.

It is not an unprimeable number, because it can be changed into a prime (103100331407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24829 + ... + 454771.

It is an arithmetic number, because the mean of its divisors is an integer number (2748954450).

Almost surely, 2103100331400 is an apocalyptic number.

103100331400 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 103100331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131949813600).

103100331400 is an abundant number, since it is smaller than the sum of its proper divisors (160799295800).

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

103100331400 is a wasteful number, since it uses less digits than its factorization.

103100331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430079 (or 430070 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103100331400 its reverse (4133001301), we get a palindrome (107233332701).

The spelling of 103100331400 in words is "one hundred three billion, one hundred million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 109 110 200 218 220 275 436 440 545 550 872 1090 1100 1199 2180 2200 2398 2725 4360 4796 5450 5995 9592 10900 11990 21800 23980 29975 47960 59950 119900 239800 429943 859886 1719772 2149715 3439544 4299430 4729373 8598860 9458746 10748575 17197720 18917492 21497150 23646865 37834984 42994300 46863787 47293730 85988600 93727574 94587460 118234325 187455148 189174920 234318935 236468650 374910296 468637870 472937300 515501657 937275740 945874600 1031003314 1171594675 1874551480 2062006628 2343189350 2577508285 4124013256 4686378700 5155016570 9372757400 10310033140 12887541425 20620066280 25775082850 51550165700 103100331400