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1012220000200 = 235273101686437
BaseRepresentation
bin11101011101011010000…
…00110111011111001000
310120202201100111202101001
432232231000313133020
5113041011310001300
62053001335304344
7133062520016533
oct16565500673710
93522640452331
101012220000200
1136030988aa12
1214421251b0b4
13745b4b9aba6
1436dc5371a1a
151b4e449216a
hexebad0377c8

1012220000200 has 96 divisors (see below), whose sum is σ = 2409273821160. Its totient is φ = 395387136000.

The previous prime is 1012220000189. The next prime is 1012220000213. The reversal of 1012220000200 is 20000222101.

It can be written as a sum of positive squares in 12 ways, for example, as 114884390916 + 897335609284 = 338946^2 + 947278^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131382 + ... + 1817818.

Almost surely, 21012220000200 is an apocalyptic number.

1012220000200 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 1012220000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204636910580).

1012220000200 is an abundant number, since it is smaller than the sum of its proper divisors (1397053820960).

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

1012220000200 is a wasteful number, since it uses less digits than its factorization.

1012220000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686627 (or 686618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1012220000200 its reverse (20000222101), we get a palindrome (1032220222301).

The spelling of 1012220000200 in words is "one trillion, twelve billion, two hundred twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 101 146 200 202 292 365 404 505 584 730 808 1010 1460 1825 2020 2525 2920 3650 4040 5050 7300 7373 10100 14600 14746 20200 29492 36865 58984 73730 147460 184325 294920 368650 686437 737300 1372874 1474600 2745748 3432185 5491496 6864370 13728740 17160925 27457480 34321850 50109901 68643700 69330137 100219802 137287400 138660274 200439604 250549505 277320548 346650685 400879208 501099010 554641096 693301370 1002198020 1252747525 1386602740 1733253425 2004396040 2505495050 2773205480 3466506850 5010990100 5061100001 6933013700 10021980200 10122200002 13866027400 20244400004 25305500005 40488800008 50611000010 101222000020 126527500025 202444000040 253055000050 506110000100 1012220000200