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12203135100 = 22325213280231
BaseRepresentation
bin10110101110101110…
…10001000001111100
31011111110100111022200
423113113101001330
5144443000310400
65334523311500
7611255636232
oct132727210174
934443314280
1012203135100
1151a2396022
12244697b590
1311c6278b00
1483a9b8952
154b64e8b00
hex2d75d107c

12203135100 has 162 divisors, whose sum is σ = 41419208376. Its totient is φ = 3003811200.

The previous prime is 12203135099. The next prime is 12203135101. The reversal of 12203135100 is 153130221.

12203135100 is a `hidden beast` number, since 122 + 0 + 31 + 3 + 510 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12203135099) and next prime (12203135101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203135101) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 111985 + ... + 192215.

Almost surely, 212203135100 is an apocalyptic number.

12203135100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12203135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20709604188).

12203135100 is an abundant number, since it is smaller than the sum of its proper divisors (29216073276).

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

12203135100 is a wasteful number, since it uses less digits than its factorization.

12203135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80277 (or 80254 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 12203135100 its reverse (153130221), we get a palindrome (12356265321).

The spelling of 12203135100 in words is "twelve billion, two hundred three million, one hundred thirty-five thousand, one hundred".