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141353100 = 2236527277
BaseRepresentation
bin10000110110011…
…10000010001100
3100211222111000000
420123032002030
5242141244400
622005404300
73334324110
oct1033160214
9324874000
10141353100
1172876749
123b409690
13233921b5
1414ab7740
15c622600
hex86ce08c

141353100 has 252 divisors, whose sum is σ = 527490544. Its totient is φ = 32192640.

The previous prime is 141353071. The next prime is 141353129. The reversal of 141353100 is 1353141.

It is an interprime number because it is at equal distance from previous prime (141353071) and next prime (141353129).

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×1413531002 = 39961397759220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 510162 + ... + 510438.

Almost surely, 2141353100 is an apocalyptic number.

141353100 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 141353100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263745272).

141353100 is an abundant number, since it is smaller than the sum of its proper divisors (386137444).

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

141353100 is a wasteful number, since it uses less digits than its factorization.

141353100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

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

The square root of 141353100 is about 11889.2009824042. The cubic root of 141353100 is about 520.9168980940.

The spelling of 141353100 in words is "one hundred forty-one million, three hundred fifty-three thousand, one hundred".