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142312100 = 225271711959
BaseRepresentation
bin10000111101110…
…00001010100100
3100220210012111112
420132320022210
5242412441400
622042124152
73345430040
oct1036701244
9326705445
10142312100
1173371207
123b7b0658
1323639858
1414c87020
15c761835
hex87b82a4

142312100 has 72 divisors (see below), whose sum is σ = 373726080. Its totient is φ = 45918720.

The previous prime is 142312091. The next prime is 142312111. The reversal of 142312100 is 1213241.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5921 + ... + 17879.

It is an arithmetic number, because the mean of its divisors is an integer number (5190640).

Almost surely, 2142312100 is an apocalyptic number.

142312100 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 142312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186863040).

142312100 is an abundant number, since it is smaller than the sum of its proper divisors (231413980).

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

142312100 is a wasteful number, since it uses less digits than its factorization.

142312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11990 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 142312100 is about 11929.4635252387. The cubic root of 142312100 is about 522.0922851278.

Adding to 142312100 its reverse (1213241), we get a palindrome (143525341).

The spelling of 142312100 in words is "one hundred forty-two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 11959 23918 47836 59795 83713 119590 167426 203303 239180 298975 334852 406606 418565 597950 813212 837130 1016515 1195900 1423121 1674260 2033030 2092825 2846242 4066060 4185650 5082575 5692484 7115605 8371300 10165150 14231210 20330300 28462420 35578025 71156050 142312100