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141270100 = 225231199229
BaseRepresentation
bin10000110101110…
…01110001010100
3100211211021010221
420122321301110
5242131120400
622003524124
73333530116
oct1032716124
9324737127
10141270100
117281a354
123b389644
132336349a
1414a953b6
15c607c1a
hex86b9c54

141270100 has 72 divisors (see below), whose sum is σ = 319424000. Its totient is φ = 54172800.

The previous prime is 141270089. The next prime is 141270127. The reversal of 141270100 is 1072141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616786 + ... + 617014.

Almost surely, 2141270100 is an apocalyptic number.

141270100 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 141270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159712000).

141270100 is an abundant number, since it is smaller than the sum of its proper divisors (178153900).

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

141270100 is a wasteful number, since it uses less digits than its factorization.

141270100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 141270100 is about 11885.7099072794. The cubic root of 141270100 is about 520.8149204513.

The spelling of 141270100 in words is "one hundred forty-one million, two hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 199 229 310 398 458 620 775 796 916 995 1145 1550 1990 2290 3100 3980 4580 4975 5725 6169 7099 9950 11450 12338 14198 19900 22900 24676 28396 30845 35495 45571 61690 70990 91142 123380 141980 154225 177475 182284 227855 308450 354950 455710 616900 709900 911420 1139275 1412701 2278550 2825402 4557100 5650804 7063505 14127010 28254020 35317525 70635050 141270100