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152544103000 = 23531961131617
BaseRepresentation
bin1000111000010001010…
…1100100101001011000
3112120202001122100002121
42032010111210221120
54444402242244000
6154024445311024
714010120324112
oct2160425445130
9476661570077
10152544103000
115976a195413
1225692865474
1311500680b53
1475516023b2
153e7c11cb1a
hex2384564a58

152544103000 has 128 divisors (see below), whose sum is σ = 381902788800. Its totient is φ = 56858112000.

The previous prime is 152544102961. The next prime is 152544103001. The reversal of 152544103000 is 301445251.

It is a happy number.

152544103000 is digitally balanced in base 3, 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152544103001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093192 + ... + 1224808.

Almost surely, 2152544103000 is an apocalyptic number.

152544103000 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 152544103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190951394400).

152544103000 is an abundant number, since it is smaller than the sum of its proper divisors (229358685800).

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

152544103000 is a wasteful number, since it uses less digits than its factorization.

152544103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131718 (or 131704 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 152544103000 its reverse (301445251), we get a palindrome (152845548251).

The spelling of 152544103000 in words is "one hundred fifty-two billion, five hundred forty-four million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 61 76 95 100 122 125 152 190 200 244 250 305 380 475 488 500 610 760 950 1000 1159 1220 1525 1900 2318 2375 2440 3050 3800 4636 4750 5795 6100 7625 9272 9500 11590 12200 15250 19000 23180 28975 30500 46360 57950 61000 115900 131617 144875 231800 263234 289750 526468 579500 658085 1052936 1159000 1316170 2500723 2632340 3290425 5001446 5264680 6580850 8028637 10002892 12503615 13161700 16057274 16452125 20005784 25007230 26323400 32114548 32904250 40143185 50014460 62518075 64229096 65808500 80286370 100028920 125036150 131617000 152544103 160572740 200715925 250072300 305088206 312590375 321145480 401431850 500144600 610176412 625180750 762720515 802863700 1003579625 1220352824 1250361500 1525441030 1605727400 2007159250 2500723000 3050882060 3813602575 4014318500 6101764120 7627205150 8028637000 15254410300 19068012875 30508820600 38136025750 76272051500 152544103000