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100334142 = 232232961137
BaseRepresentation
bin1011111101011…
…11101000111110
320222210111120100
411332233220332
5201141143032
613542301530
72325553236
oct576575076
9228714510
10100334142
11516aa587
12297278a6
1317a2c91c
14d47acc6
158c1d97c
hex5fafa3e

100334142 has 96 divisors (see below), whose sum is σ = 240252480. Its totient is φ = 30159360.

The previous prime is 100334137. The next prime is 100334177. The reversal of 100334142 is 241433001.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732298 + ... + 732434.

It is an arithmetic number, because the mean of its divisors is an integer number (2502630).

Almost surely, 2100334142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100334142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120126240).

100334142 is an abundant number, since it is smaller than the sum of its proper divisors (139918338).

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

100334142 is a wasteful number, since it uses less digits than its factorization.

100334142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100334142 is about 10016.6931669089. The cubic root of 100334142 is about 464.6752918671.

Adding to 100334142 its reverse (241433001), we get a palindrome (341767143).

The spelling of 100334142 in words is "one hundred million, three hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 61 69 87 122 137 138 174 183 207 261 274 366 411 414 522 549 667 822 1098 1233 1334 1403 1769 2001 2466 2806 3151 3538 3973 4002 4209 5307 6003 6302 7946 8357 8418 9453 10614 11919 12006 12627 15921 16714 18906 23838 25071 25254 28359 31842 35757 40687 50142 56718 71514 75213 81374 91379 122061 150426 182758 192211 242353 244122 274137 366183 384422 484706 548274 576633 727059 732366 822411 1153266 1454118 1644822 1729899 2181177 3459798 4362354 5574119 11148238 16722357 33444714 50167071 100334142