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1022120201100 = 223523792082901
BaseRepresentation
bin11101101111110110001…
…11001000101110001100
310121201021022111001212110
432313323013020232030
5113221300232413400
62101315555104020
7133563043234155
oct16677307105614
93551238431773
101022120201100
1136452a230429
12146115ba2010
1375501cb512b
143768415692c
151b8c36d9e50
hexedfb1c8b8c

1022120201100 has 72 divisors (see below), whose sum is σ = 3037262439568. Its totient is φ = 265198752000.

The previous prime is 1022120201077. The next prime is 1022120201101. The reversal of 1022120201100 is 11020212201.

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

It is not an unprimeable number, because it can be changed into a prime (1022120201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46030351 + ... + 46052550.

Almost surely, 21022120201100 is an apocalyptic number.

1022120201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022120201100 is an abundant number, since it is smaller than the sum of its proper divisors (2015142238468).

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

1022120201100 is a wasteful number, since it uses less digits than its factorization.

1022120201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92082955 (or 92082948 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022120201100 its reverse (11020212201), we get a palindrome (1033140413301).

The spelling of 1022120201100 in words is "one trillion, twenty-two billion, one hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 92082901 184165802 276248703 368331604 460414505 552497406 920829010 1104994812 1381243515 1841658020 2302072525 2762487030 3407067337 4604145050 5524974060 6814134674 6906217575 9208290100 10221202011 13628269348 13812435150 17035336685 20442404022 27624870300 34070673370 40884808044 51106010055 68141346740 85176683425 102212020110 170353366850 204424040220 255530050275 340706733700 511060100550 1022120201100