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5130121600 = 27521984377
BaseRepresentation
bin1001100011100011…
…10111000110000000
3111020112020011211201
410301301313012000
541001302342400
62205020150544
7241062212512
oct46161670600
914215204751
105130121600
1121a290231a
12bb2098454
13639aba816
14369493bb2
152005ab06a
hex131c77180

5130121600 has 96 divisors (see below), whose sum is σ = 13340161800. Its totient is φ = 1944023040.

The previous prime is 5130121573. The next prime is 5130121621. The reversal of 5130121600 is 61210315.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18612 + ... + 102988.

Almost surely, 25130121600 is an apocalyptic number.

5130121600 is a gapful number since it is divisible by the number (50) 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 5130121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670080900).

5130121600 is an abundant number, since it is smaller than the sum of its proper divisors (8210040200).

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

5130121600 is a wasteful number, since it uses less digits than its factorization.

5130121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84420 (or 84403 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5130121600 is about 71624.8671901037. The cubic root of 5130121600 is about 1724.6827505911.

Adding to 5130121600 its reverse (61210315), we get a palindrome (5191331915).

The spelling of 5130121600 in words is "five billion, one hundred thirty million, one hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 304 320 380 400 475 608 640 760 800 950 1216 1520 1600 1900 2432 3040 3200 3800 6080 7600 12160 15200 30400 60800 84377 168754 337508 421885 675016 843770 1350032 1603163 1687540 2109425 2700064 3206326 3375080 4218850 5400128 6412652 6750160 8015815 8437700 10800256 12825304 13500320 16031630 16875400 25650608 27000640 32063260 33750800 40079075 51301216 54001280 64126520 67501600 80158150 102602432 128253040 135003200 160316300 205204864 256506080 270006400 320632600 513012160 641265200 1026024320 1282530400 2565060800 5130121600