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103002112023000 = 23353117129320271
BaseRepresentation
bin10111011010111000001100…
…010011000101100111011000
3111111200220110021201200121220
4113122320030103011213120
5102000041311134214000
61003022303402132040
730460441233246651
oct2732701423054730
9444626407650556
10103002112023000
112a901a4aa83003
12b6765baab1020
1345620993b32a8
141b61486404528
15bd94c46531a0
hex5dae0c4c59d8

103002112023000 has 128 divisors (see below), whose sum is σ = 321641038218240. Its totient is φ = 27443772720000.

The previous prime is 103002112022879. The next prime is 103002112023007. The reversal of 103002112023000 is 320211200301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002112023007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11147136 + ... + 18173135.

It is an arithmetic number, because the mean of its divisors is an integer number (2512820611080).

Almost surely, 2103002112023000 is an apocalyptic number.

103002112023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103002112023000 is an abundant number, since it is smaller than the sum of its proper divisors (218638926195240).

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

103002112023000 is a wasteful number, since it uses less digits than its factorization.

103002112023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29321466 (or 29321452 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103002112023000 its reverse (320211200301), we get a palindrome (103322323223301).

The spelling of 103002112023000 in words is "one hundred three trillion, two billion, one hundred twelve million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1171 1500 2342 3000 3513 4684 5855 7026 9368 11710 14052 17565 23420 28104 29275 35130 46840 58550 70260 87825 117100 140520 146375 175650 234200 292750 351300 439125 585500 702600 878250 1171000 1756500 3513000 29320271 58640542 87960813 117281084 146601355 175921626 234562168 293202710 351843252 439804065 586405420 703686504 733006775 879608130 1172810840 1466013550 1759216260 2199020325 2932027100 3518432520 3665033875 4398040650 5864054200 7330067750 8796081300 10995101625 14660135500 17592162600 21990203250 29320271000 34334037341 43980406500 68668074682 87960813000 103002112023 137336149364 171670186705 206004224046 274672298728 343340373410 412008448092 515010560115 686680746820 824016896184 858350933525 1030021120230 1373361493640 1716701867050 2060042240460 2575052800575 3433403734100 4120084480920 4291754667625 5150105601150 6866807468200 8583509335250 10300211202300 12875264002875 17167018670500 20600422404600 25750528005750 34334037341000 51501056011500 103002112023000