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122020110100 = 22527712455133
BaseRepresentation
bin111000110100011110…
…1110001111100010100
3102122221210100211121001
41301220331301330110
53444344122010400
6132015534233044
711546525552140
oct1615075617424
9378853324531
10122020110100
11478261977a9
121b794355784
13b677882ca5
145c97758220
1532924dba6a
hex1c68f71f14

122020110100 has 72 divisors (see below), whose sum is σ = 306872108928. Its totient is φ = 41246217600.

The previous prime is 122020110041. The next prime is 122020110101. The reversal of 122020110100 is 1011020221.

It is a super-2 number, since 2×1220201101002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020110101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177867 + ... + 1277266.

It is an arithmetic number, because the mean of its divisors is an integer number (4262112624).

Almost surely, 2122020110100 is an apocalyptic number.

122020110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020110100 is an abundant number, since it is smaller than the sum of its proper divisors (184851998828).

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

122020110100 is a wasteful number, since it uses less digits than its factorization.

122020110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455225 (or 2455218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122020110100 its reverse (1011020221), we get a palindrome (123031130321).

The spelling of 122020110100 in words is "one hundred twenty-two billion, twenty million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 24850 49700 2455133 4910266 9820532 12275665 17185931 24551330 34371862 49102660 61378325 68743724 85929655 122756650 171859310 174314443 245513300 343718620 348628886 429648275 697257772 859296550 871572215 1220201101 1718593100 1743144430 2440402202 3486288860 4357861075 4880804404 6101005505 8715722150 12202011010 17431444300 24404022020 30505027525 61010055050 122020110100