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22120011220100 = 22522851354121911
BaseRepresentation
bin1010000011110001101110…
…11010010100010010000100
32220022122121121121000012112
411001320313122110102010
510344403240333020400
6115013443132040152
74442055333043013
oct501706732242204
986278547530175
1022120011220100
117059053736852
12259300b003058
13c45ba6160481
14566885734a7a
152855d3cd3835
hex141e37694484

22120011220100 has 72 divisors (see below), whose sum is σ = 48033013148736. Its totient is φ = 8841999600000.

The previous prime is 22120011220091. The next prime is 22120011220117. The reversal of 22120011220100 is 102211002122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009528145 + ... + 1009550055.

Almost surely, 222120011220100 is an apocalyptic number.

22120011220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120011220100 is an abundant number, since it is smaller than the sum of its proper divisors (25913001928636).

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

22120011220100 is a wasteful number, since it uses less digits than its factorization.

22120011220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28317 (or 28310 counting only the distinct ones).

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

Adding to 22120011220100 its reverse (102211002122), we get a palindrome (22222222222222).

The spelling of 22120011220100 in words is "twenty-two trillion, one hundred twenty billion, eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2851 3541 5702 7082 11404 14164 14255 17705 21911 28510 35410 43822 57020 70820 71275 87644 88525 109555 142550 177050 219110 285100 354100 438220 547775 1095550 2191100 10095391 20190782 40381564 50476955 62468261 77586851 100953910 124936522 155173702 201907820 249873044 252384775 310347404 312341305 387934255 504769550 624682610 775868510 1009539100 1249365220 1551737020 1561706525 1939671275 3123413050 3879342550 6246826100 7758685100 221200112201 442400224402 884800448804 1106000561005 2212001122010 4424002244020 5530002805025 11060005610050 22120011220100