Search a number
-
+
5103122000 = 24536738083
BaseRepresentation
bin1001100000010101…
…10111011001010000
3111011122102110100112
410300022313121100
540422344401000
62202213340452
7240313551464
oct46012673120
914148373315
105103122000
1121896410a9
12ba5037728
13634326422
14365a664a4
151ed026235
hex1302b7650

5103122000 has 80 divisors (see below), whose sum is σ = 12523847232. Its totient is φ = 2010729600.

The previous prime is 5103121943. The next prime is 5103122023. The reversal of 5103122000 is 2213015.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114959 + ... + 153041.

Almost surely, 25103122000 is an apocalyptic number.

5103122000 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 5103122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261923616).

5103122000 is an abundant number, since it is smaller than the sum of its proper divisors (7420725232).

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

5103122000 is a wasteful number, since it uses less digits than its factorization.

5103122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38173 (or 38157 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 5103122000 is about 71436.1393133756. The cubic root of 5103122000 is about 1721.6517844096.

Adding to 5103122000 its reverse (2213015), we get a palindrome (5105335015).

The spelling of 5103122000 in words is "five billion, one hundred three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1675 2000 2680 3350 5360 6700 8375 13400 16750 26800 33500 38083 67000 76166 134000 152332 190415 304664 380830 609328 761660 952075 1523320 1904150 2551561 3046640 3808300 4760375 5103122 7616600 9520750 10206244 12757805 15233200 19041500 20412488 25515610 38083000 40824976 51031220 63789025 76166000 102062440 127578050 204124880 255156100 318945125 510312200 637890250 1020624400 1275780500 2551561000 5103122000