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1022221120100 = 225210222211201
BaseRepresentation
bin11101110000000010010…
…00000111001001100100
310121201112100101021201012
432320001020013021210
5113222002101320400
62101334002121352
7133565410104515
oct16700110071144
93551470337635
101022221120100
1136458119a364
12146143950258
1375519b8b00b
1437693706a0c
151b8cc4c1d35
hexee01207264

1022221120100 has 18 divisors (see below), whose sum is σ = 2218219830834. Its totient is φ = 408888448000.

The previous prime is 1022221120087. The next prime is 1022221120189. The reversal of 1022221120100 is 10211222201.

It can be written as a sum of positive squares in 3 ways, for example, as 225480256 + 1021995639844 = 15016^2 + 1010938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5111105501 + ... + 5111105700.

Almost surely, 21022221120100 is an apocalyptic number.

1022221120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022221120100 is an abundant number, since it is smaller than the sum of its proper divisors (1195998710734).

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

1022221120100 is a wasteful number, since it uses less digits than its factorization.

1022221120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222211215 (or 10222211208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022221120100 its reverse (10211222201), we get a palindrome (1032432342301).

It can be divided in two parts, 1022 and 221120100, that added together give a palindrome (221121122).

The spelling of 1022221120100 in words is "one trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10222211201 20444422402 40888844804 51111056005 102222112010 204444224020 255555280025 511110560050 1022221120100