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5121013100 = 22527101113641
BaseRepresentation
bin1001100010011110…
…00111010101101100
3111012220002102022212
410301033013111230
540441434404400
62204053025552
7240621615230
oct46117072554
914186072285
105121013100
112198750a35
12bab0252b8
13637c4b988
143681a25c0
151ee8ac335
hex1313c756c

5121013100 has 144 divisors (see below), whose sum is σ = 12959545536. Its totient is φ = 1720320000.

The previous prime is 5121013091. The next prime is 5121013123. The reversal of 5121013100 is 13101215.

It is a super-2 number, since 2×51210131002 = 52449550340743220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7988780 + ... + 7989420.

It is an arithmetic number, because the mean of its divisors is an integer number (89996844).

Almost surely, 25121013100 is an apocalyptic number.

5121013100 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 5121013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479772768).

5121013100 is an abundant number, since it is smaller than the sum of its proper divisors (7838532436).

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

5121013100 is a wasteful number, since it uses less digits than its factorization.

5121013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 5121013100 is about 71561.2541812956. The cubic root of 5121013100 is about 1723.6614246213.

Adding to 5121013100 its reverse (13101215), we get a palindrome (5134114315).

The spelling of 5121013100 in words is "five billion, one hundred twenty-one million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 113 140 175 202 226 350 404 452 505 565 641 700 707 791 1010 1130 1282 1414 1582 2020 2260 2525 2564 2825 2828 3164 3205 3535 3955 4487 5050 5650 6410 7070 7910 8974 10100 11300 11413 12820 14140 15820 16025 17675 17948 19775 22435 22826 32050 35350 39550 44870 45652 57065 64100 64741 70700 72433 79100 79891 89740 112175 114130 129482 144866 159782 224350 228260 258964 285325 289732 319564 323705 362165 399455 448700 453187 507031 570650 647410 724330 798910 906374 1014062 1141300 1294820 1448660 1597820 1618525 1810825 1812748 1997275 2028124 2265935 2535155 3237050 3621650 3994550 4531870 5070310 6474100 7243300 7315733 7989100 9063740 10140620 11329675 12675775 14631466 22659350 25351550 29262932 36578665 45318700 50703100 51210131 73157330 102420262 146314660 182893325 204840524 256050655 365786650 512101310 731573300 1024202620 1280253275 2560506550 5121013100