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103332102000 = 2435317222017
BaseRepresentation
bin110000000111100010…
…0101011111101110000
3100212201101120122212220
41200033010223331300
53143111004231000
6115245313321040
710315444242411
oct1401704537560
9325641518786
10103332102000
113a906306706
1218039866180
139989c5172a
1450037d5808
152a4ba2e1a0
hex180f12bf70

103332102000 has 80 divisors (see below), whose sum is σ = 333142716192. Its totient is φ = 27555225600.

The previous prime is 103332101959. The next prime is 103332102007. The reversal of 103332102000 is 201233301.

It is a tau number, because it is divible by the number of its divisors (80).

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 (103332102007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8605009 + ... + 8617008.

Almost surely, 2103332102000 is an apocalyptic number.

103332102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103332102000 is an abundant number, since it is smaller than the sum of its proper divisors (229810614192).

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

103332102000 is a wasteful number, since it uses less digits than its factorization.

103332102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17222043 (or 17222027 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103332102000 its reverse (201233301), we get a palindrome (103533335301).

The spelling of 103332102000 in words is "one hundred three billion, three hundred thirty-two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 17222017 34444034 51666051 68888068 86110085 103332102 137776136 172220170 206664204 258330255 275552272 344440340 413328408 430550425 516660510 688880680 826656816 861100850 1033321020 1291651275 1377761360 1722201700 2066642040 2152752125 2583302550 3444403400 4133284080 4305504250 5166605100 6458256375 6888806800 8611008500 10333210200 12916512750 17222017000 20666420400 25833025500 34444034000 51666051000 103332102000