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1022220020100 = 2235223148147829
BaseRepresentation
bin11101110000000010000…
…11111010100110000100
310121201112021022101210110
432320001003322212010
5113222001311120400
62101333522353020
7133565364543516
oct16700103724604
93551467271713
101022220020100
11364580608974
121461434bb770
1375519894426
14376934dbbb6
151b8cc355e50
hexee010fa984

1022220020100 has 72 divisors (see below), whose sum is σ = 3086215594560. Its totient is φ = 260740177280.

The previous prime is 1022220020093. The next prime is 1022220020111. The reversal of 1022220020100 is 10200222201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74067015 + ... + 74080814.

It is an arithmetic number, because the mean of its divisors is an integer number (42864105480).

Almost surely, 21022220020100 is an apocalyptic number.

1022220020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022220020100 is an abundant number, since it is smaller than the sum of its proper divisors (2063995574460).

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

1022220020100 is a wasteful number, since it uses less digits than its factorization.

1022220020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148147869 (or 148147862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022220020100 its reverse (10200222201), we get a palindrome (1032420242301).

The spelling of 1022220020100 in words is "one trillion, twenty-two billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 148147829 296295658 444443487 592591316 740739145 888886974 1481478290 1777773948 2222217435 2962956580 3407400067 3703695725 4444434870 6814800134 7407391450 8888869740 10222200201 11111087175 13629600268 14814782900 17037000335 20444400402 22222174350 34074000670 40888800804 44444348700 51111001005 68148001340 85185001675 102222002010 170370003350 204444004020 255555005025 340740006700 511110010050 1022220020100