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142000100 = 225211167773
BaseRepresentation
bin10000111011010…
…11111111100100
3100220012100111222
420131223333210
5242323000400
622031315512
73342660314
oct1035537744
9326170458
10142000100
1173178860
123b67bb98
132355a838
1414c05444
15c6ee185
hex876bfe4

142000100 has 72 divisors (see below), whose sum is σ = 338603328. Its totient is φ = 51260800.

The previous prime is 142000081. The next prime is 142000109. The reversal of 142000100 is 1000241.

142000100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

142000100 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (142000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183314 + ... + 184086.

It is an arithmetic number, because the mean of its divisors is an integer number (4702824).

Almost surely, 2142000100 is an apocalyptic number.

142000100 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 142000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169301664).

142000100 is an abundant number, since it is smaller than the sum of its proper divisors (196603228).

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

142000100 is a wasteful number, since it uses less digits than its factorization.

142000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 142000100 is about 11916.3794837190. The cubic root of 142000100 is about 521.7104670948.

Adding to 142000100 its reverse (1000241), we get a palindrome (143000341).

The spelling of 142000100 in words is "one hundred forty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 167 220 275 334 550 668 773 835 1100 1546 1670 1837 3092 3340 3674 3865 4175 7348 7730 8350 8503 9185 15460 16700 17006 18370 19325 34012 36740 38650 42515 45925 77300 85030 91850 129091 170060 183700 212575 258182 425150 516364 645455 850300 1290910 1420001 2581820 2840002 3227275 5680004 6454550 7100005 12909100 14200010 28400020 35500025 71000050 142000100