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103123433000 = 2353783177493
BaseRepresentation
bin110000000001010100…
…0101011011000101000
3100212011211221011211102
41200002220223120220
53142144044324000
6115212501020532
710310331501110
oct1400250533050
9325154834742
10103123433000
113a809542595
1217b9b9b4748
139955950653
144dc3bd8040
152a385613d5
hex1802a2b628

103123433000 has 128 divisors (see below), whose sum is σ = 279105765120. Its totient is φ = 34930425600.

The previous prime is 103123432987. The next prime is 103123433041. The reversal of 103123433000 is 334321301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492254 + ... + 669746.

It is an arithmetic number, because the mean of its divisors is an integer number (2180513790).

Almost surely, 2103123433000 is an apocalyptic number.

103123433000 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 103123433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139552882560).

103123433000 is an abundant number, since it is smaller than the sum of its proper divisors (175982332120).

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

103123433000 is a wasteful number, since it uses less digits than its factorization.

103123433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177604 (or 177590 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103123433000 its reverse (334321301), we get a palindrome (103457754301).

The spelling of 103123433000 in words is "one hundred three billion, one hundred twenty-three million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 83 100 125 140 166 175 200 250 280 332 350 415 500 581 664 700 830 875 1000 1162 1400 1660 1750 2075 2324 2905 3320 3500 4150 4648 5810 7000 8300 10375 11620 14525 16600 20750 23240 29050 41500 58100 72625 83000 116200 145250 177493 290500 354986 581000 709972 887465 1242451 1419944 1774930 2484902 3549860 4437325 4969804 6212255 7099720 8874650 9939608 12424510 14731919 17749300 22186625 24849020 29463838 31061275 35498600 44373250 49698040 58927676 62122550 73659595 88746500 103123433 117855352 124245100 147319190 155306375 177493000 206246866 248490200 294638380 310612750 368297975 412493732 515617165 589276760 621225500 736595950 824987464 1031234330 1242451000 1473191900 1841489875 2062468660 2578085825 2946383800 3682979750 4124937320 5156171650 7365959500 10312343300 12890429125 14731919000 20624686600 25780858250 51561716500 103123433000