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122022202100 = 22525323023057
BaseRepresentation
bin111000110100100010…
…1110000101011110100
3102122221221022010021112
41301221011300223310
53444400140431400
6132020051134152
711546552414231
oct1615105605364
9378857263245
10122022202100
1147827396527
121b794ba4358
13b678136266
145c97b40788
1532927a1835
hex1c69170af4

122022202100 has 36 divisors (see below), whose sum is σ = 269784193644. Its totient is φ = 47887956480.

The previous prime is 122022202069. The next prime is 122022202117. The reversal of 122022202100 is 1202220221.

It can be written as a sum of positive squares in 6 ways, for example, as 1044840976 + 120977361124 = 32324^2 + 347818^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11506229 + ... + 11516828.

It is an arithmetic number, because the mean of its divisors is an integer number (7494005379).

Almost surely, 2122022202100 is an apocalyptic number.

122022202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022202100 is an abundant number, since it is smaller than the sum of its proper divisors (147761991544).

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

122022202100 is a wasteful number, since it uses less digits than its factorization.

122022202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23023124 (or 23023117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122022202100 its reverse (1202220221), we get a palindrome (123224422321).

The spelling of 122022202100 in words is "one hundred twenty-two billion, twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 23023057 46046114 92092228 115115285 230230570 460461140 575576425 1151152850 1220222021 2302305700 2440444042 4880888084 6101110105 12202220210 24404440420 30505550525 61011101050 122022202100