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5103211014 = 23211371036763
BaseRepresentation
bin1001100000010110…
…01101001000000110
3111011122120222110100
410300023031020012
540422410223024
62202215304530
7240314402136
oct46013151006
914148528410
105103211014
1121896a1a70
12ba507b146
13634357ab5
14365a8aac6
151ed0427c9
hex1302cd206

5103211014 has 96 divisors (see below), whose sum is σ = 12510261504. Its totient is φ = 1489803840.

The previous prime is 5103210991. The next prime is 5103211019. The reversal of 5103211014 is 4101123015.

5103211014 is a `hidden beast` number, since 510 + 32 + 110 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5103211019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751197 + ... + 757959.

It is an arithmetic number, because the mean of its divisors is an integer number (130315224).

Almost surely, 25103211014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103211014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255130752).

5103211014 is an abundant number, since it is smaller than the sum of its proper divisors (7407050490).

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

5103211014 is a wasteful number, since it uses less digits than its factorization.

5103211014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5103211014 is about 71436.7623426482. The cubic root of 5103211014 is about 1721.6617946361.

Adding to 5103211014 its reverse (4101123015), we get a palindrome (9204334029).

The spelling of 5103211014 in words is "five billion, one hundred three million, two hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 103 111 198 206 222 309 333 407 618 666 814 927 1133 1221 1854 2266 2442 3399 3663 3811 6763 6798 7326 7622 10197 11433 13526 20289 20394 22866 34299 40578 41921 60867 68598 74393 83842 121734 125763 148786 223179 250231 251526 377289 446358 500462 669537 696589 750693 754578 1339074 1393178 1501386 2089767 2252079 2752541 4179534 4504158 5505082 6269301 7662479 8257623 12538602 15324958 16515246 22987437 24772869 25773793 45974874 49545738 51547586 68962311 77321379 137924622 154642758 231964137 283511723 463928274 567023446 850535169 1701070338 2551605507 5103211014