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100022001220 = 2257576606473
BaseRepresentation
bin101110100100111000…
…1101001111001000100
3100120011201001010020201
41131021301221321010
53114321113014340
6113541030340244
710140431661001
oct1351161517104
9316151033221
10100022001220
11394678a2a29
12174751ba684
139580243a0b
144babd4a8a8
15290613379a
hex1749c69e44

100022001220 has 24 divisors (see below), whose sum is σ = 210323706264. Its totient is φ = 39955942656.

The previous prime is 100022001217. The next prime is 100022001221. The reversal of 100022001220 is 22100220001.

It can be written as a sum of positive squares in 4 ways, for example, as 10001600064 + 90020401156 = 100008^2 + 300034^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100022001197 and 100022001206.

It is not an unprimeable number, because it can be changed into a prime (100022001221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3288097 + ... + 3318376.

It is an arithmetic number, because the mean of its divisors is an integer number (8763487761).

Almost surely, 2100022001220 is an apocalyptic number.

100022001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022001220 is an abundant number, since it is smaller than the sum of its proper divisors (110301705044).

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

100022001220 is a wasteful number, since it uses less digits than its factorization.

100022001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607239 (or 6607237 counting only the distinct ones).

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

Adding to 100022001220 its reverse (22100220001), we get a palindrome (122122221221).

The spelling of 100022001220 in words is "one hundred billion, twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 757 1514 3028 3785 7570 15140 6606473 13212946 26425892 33032365 66064730 132129460 5001100061 10002200122 20004400244 25005500305 50011000610 100022001220