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1022220100 = 225211284481
BaseRepresentation
bin111100111011011…
…101011101000100
32122020111011100201
4330323131131010
54043142020400
6245233420244
734221504346
oct7473353504
92566434321
101022220100
11485020100
1224640a684
13133a19c85
1499a93296
155eb2006a
hex3cedd744

1022220100 has 54 divisors (see below), whose sum is σ = 2438235002. Its totient is φ = 371712000.

The previous prime is 1022220097. The next prime is 1022220103. The reversal of 1022220100 is 10222201.

It is an interprime number because it is at equal distance from previous prime (1022220097) and next prime (1022220103).

It can be written as a sum of positive squares in 3 ways, for example, as 1800964 + 1020419136 = 1342^2 + 31944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1022220103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30141 + ... + 54340.

Almost surely, 21022220100 is an apocalyptic number.

1022220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022220100 is an abundant number, since it is smaller than the sum of its proper divisors (1416014902).

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

1022220100 is a wasteful number, since it uses less digits than its factorization.

1022220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84517 (or 84499 counting only the distinct ones).

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

The square root of 1022220100 is about 31972.1769668567. The cubic root of 1022220100 is about 1007.3525081335.

Adding to 1022220100 its reverse (10222201), we get a palindrome (1032442301).

1022220100 divided by its reverse (10222201) gives a square (100 = 102).

It can be divided in two parts, 1022 and 220100, that added together give a palindrome (221122).

The spelling of 1022220100 in words is "one billion, twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 84481 168962 337924 422405 844810 929291 1689620 1858582 2112025 3717164 4224050 4646455 8448100 9292910 10222201 18585820 20444402 23232275 40888804 46464550 51111005 92929100 102222010 204444020 255555025 511110050 1022220100