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5100510012 = 22313151293739
BaseRepresentation
bin1001100000000001…
…11001101100111100
3111011110111202101020
410300000321230330
540421212310022
62202041344140
7240252422403
oct46000715474
914143452336
105100510012
112188117734
12ba4198050
13633920580
1436558663a
151ecbac35c
hex130039b3c

5100510012 has 96 divisors (see below), whose sum is σ = 12963095040. Its totient is φ = 1551571200.

The previous prime is 5100510001. The next prime is 5100510013. The reversal of 5100510012 is 2100150015.

It is a junction number, because it is equal to n+sod(n) for n = 5100509973 and 5100510000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100510013) 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, 6901539 + ... + 6902277.

It is an arithmetic number, because the mean of its divisors is an integer number (135032240).

Almost surely, 25100510012 is an apocalyptic number.

5100510012 is a gapful number since it is divisible by the number (52) 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 5100510012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481547520).

5100510012 is an abundant number, since it is smaller than the sum of its proper divisors (7862585028).

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

5100510012 is a wasteful number, since it uses less digits than its factorization.

5100510012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 5100510012 is about 71417.8549943920. The cubic root of 5100510012 is about 1721.3579968512.

Adding to 5100510012 its reverse (2100150015), we get a palindrome (7200660027).

The spelling of 5100510012 in words is "five billion, one hundred million, five hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 293 302 453 586 604 739 879 906 1172 1478 1758 1812 1963 2217 2956 3516 3809 3926 4434 5889 7618 7852 8868 9607 11427 11778 15236 19214 22854 23556 28821 38428 44243 45708 57642 88486 111589 115284 132729 176972 216527 223178 265458 334767 433054 446356 530916 575159 649581 669534 866108 1150318 1299162 1339068 1450657 1725477 2300636 2598324 2814851 2901314 3450954 4351971 5629702 5802628 6901908 8444553 8703942 11259404 16889106 17407884 32695577 33778212 65391154 98086731 130782308 196173462 392346924 425042501 850085002 1275127503 1700170004 2550255006 5100510012