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141122100 = 223527175967
BaseRepresentation
bin10000110100101…
…01101000110100
3100211112202010110
420122111220310
5242111401400
622000423020
73332342460
oct1032255064
9324482113
10141122100
1172729139
123b317a70
1323311002
1414a574a0
15c5c8e50
hex8695a34

141122100 has 288 divisors, whose sum is σ = 509967360. Its totient is φ = 29399040.

The previous prime is 141122081. The next prime is 141122131. The reversal of 141122100 is 1221141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106267 + ... + 2106333.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 2141122100 is an apocalyptic number.

141122100 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 141122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

141122100 is an abundant number, since it is smaller than the sum of its proper divisors (368845260).

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

141122100 is a wasteful number, since it uses less digits than its factorization.

141122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 141122100 is about 11879.4823119528. The cubic root of 141122100 is about 520.6329816418.

Adding to 141122100 its reverse (1221141), we get a palindrome (142343241).

The spelling of 141122100 in words is "one hundred forty-one million, one hundred twenty-two thousand, one hundred".