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5012222100 = 2235223231583
BaseRepresentation
bin1001010101100000…
…00111000010010100
3110221022101021010120
410222300013002110
540231112101400
62145205151540
7235131120264
oct45260070224
913838337116
105012222100
1121422a5716
12b7a6bb5b0
1361b54a9c2
143579637a4
151e506cca0
hex12ac07094

5012222100 has 108 divisors (see below), whose sum is σ = 15160446336. Its totient is φ = 1278439360.

The previous prime is 5012222093. The next prime is 5012222113. The reversal of 5012222100 is 12222105.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5012222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142909 + ... + 174491.

Almost surely, 25012222100 is an apocalyptic number.

5012222100 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 5012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580223168).

5012222100 is an abundant number, since it is smaller than the sum of its proper divisors (10148224236).

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

5012222100 is a wasteful number, since it uses less digits than its factorization.

5012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31646 (or 31616 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5012222100 is about 70797.0486672997. The cubic root of 5012222100 is about 1711.3681127471.

Adding to 5012222100 its reverse (12222105), we get a palindrome (5024444205).

The spelling of 5012222100 in words is "five billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 529 575 690 1058 1150 1380 1587 1725 2116 2300 2645 3174 3450 5290 6348 6900 7935 10580 13225 15870 26450 31583 31740 39675 52900 63166 79350 94749 126332 157915 158700 189498 315830 378996 473745 631660 726409 789575 947490 1452818 1579150 1894980 2179227 2368725 2905636 3158300 3632045 4358454 4737450 7264090 8716908 9474900 10896135 14528180 16707407 18160225 21792270 33414814 36320450 43584540 50122221 54480675 66829628 72640900 83537035 100244442 108961350 167074070 200488884 217922700 250611105 334148140 417685175 501222210 835370350 1002444420 1253055525 1670740700 2506111050 5012222100