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122020020100 = 225211293825079
BaseRepresentation
bin111000110100011110…
…1011011111110000100
3102122221210012021010201
41301220331123332010
53444344111120400
6132015532300244
711546525025556
oct1615075337604
9378853167121
10122020020100
1147826136120
121b794311684
13b677851034
145c977334d6
1532924c006a
hex1c68f5bf84

122020020100 has 72 divisors (see below), whose sum is σ = 298815249600. Its totient is φ = 42840873600.

The previous prime is 122020020079. The next prime is 122020020121. The reversal of 122020020100 is 1020020221.

It is an interprime number because it is at equal distance from previous prime (122020020079) and next prime (122020020121).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1880640 + ... + 1944439.

It is an arithmetic number, because the mean of its divisors is an integer number (4150211800).

Almost surely, 2122020020100 is an apocalyptic number.

122020020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020020100 is an abundant number, since it is smaller than the sum of its proper divisors (176795229500).

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

122020020100 is a wasteful number, since it uses less digits than its factorization.

122020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825133 (or 3825126 counting only the distinct ones).

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

Adding to 122020020100 its reverse (1020020221), we get a palindrome (123040040321).

The spelling of 122020020100 in words is "one hundred twenty-two billion, twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 3825079 7650158 15300316 19125395 38250790 42075869 76501580 84151738 95626975 110927291 168303476 191253950 210379345 221854582 382507900 420758690 443709164 554636455 841517380 1051896725 1109272910 1220200201 2103793450 2218545820 2440400402 2773182275 4207586900 4880800804 5546364550 6101001005 11092729100 12202002010 24404004020 30505005025 61010010050 122020020100