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1012220500 = 22535338197
BaseRepresentation
bin111100010101010…
…100001001010100
32121112200010111011
4330111110021110
54033112024000
6244235222004
734040506114
oct7425241124
92545603434
101012220500
1147a410275
12242ba7904
13131928655
149860d044
155dce72ba
hex3c554254

1012220500 has 48 divisors (see below), whose sum is σ = 2252459664. Its totient is φ = 397238400.

The previous prime is 1012220483. The next prime is 1012220509. The reversal of 1012220500 is 50222101.

It can be written as a sum of positive squares in 8 ways, for example, as 295908804 + 716311696 = 17202^2 + 26764^2 .

It is a super-3 number, since 3×10122205003 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012220509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7402 + ... + 45598.

It is an arithmetic number, because the mean of its divisors is an integer number (46926243).

Almost surely, 21012220500 is an apocalyptic number.

1012220500 is a gapful number since it is divisible by the number (10) 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 1012220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126229832).

1012220500 is an abundant number, since it is smaller than the sum of its proper divisors (1240239164).

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

1012220500 is a wasteful number, since it uses less digits than its factorization.

1012220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38269 (or 38257 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1012220500 is about 31815.4129314708. The cubic root of 1012220500 is about 1004.0570183435.

Adding to 1012220500 its reverse (50222101), we get a palindrome (1062442601).

The spelling of 1012220500 in words is "one billion, twelve million, two hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 1060 1325 2650 5300 6625 13250 26500 38197 76394 152788 190985 381970 763940 954925 1909850 2024441 3819700 4048882 4774625 8097764 9549250 10122205 19098500 20244410 40488820 50611025 101222050 202444100 253055125 506110250 1012220500