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122020102100 = 22521393861617
BaseRepresentation
bin111000110100011110…
…1101111111111010100
3102122221210100102121202
41301220331233333110
53444344121231400
6132015534132032
711546525516621
oct1615075577724
9378853312552
10122020102100
1147826191796
121b794351018
13b67787c460
145c97755348
1532924d94d5
hex1c68f6ffd4

122020102100 has 36 divisors (see below), whose sum is σ = 285151595484. Its totient is φ = 45053575680.

The previous prime is 122020102049. The next prime is 122020102111. The reversal of 122020102100 is 1201020221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17259127876 + 104760974224 = 131374^2 + 323668^2 .

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, 46929509 + ... + 46932108.

Almost surely, 2122020102100 is an apocalyptic number.

122020102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020102100 is an abundant number, since it is smaller than the sum of its proper divisors (163131493384).

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

122020102100 is a wasteful number, since it uses less digits than its factorization.

122020102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93861644 (or 93861637 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122020102100 its reverse (1201020221), we get a palindrome (123221122321).

The spelling of 122020102100 in words is "one hundred twenty-two billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 93861617 187723234 375446468 469308085 938616170 1220201021 1877232340 2346540425 2440402042 4693080850 4880804084 6101005105 9386161700 12202010210 24404020420 30505025525 61010051050 122020102100