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100242142 = 272111323311
BaseRepresentation
bin1011111100110…
…01001011011110
320222121211100221
411332121023132
5201130222032
613540311554
72325021100
oct576311336
9228554327
10100242142
1151647450
12296a25ba
13179c9aa0
14d455570
158c01597
hex5f992de

100242142 has 96 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 34372800.

The previous prime is 100242113. The next prime is 100242143. The reversal of 100242142 is 241242001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100242143) 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 47 ways as a sum of consecutive naturals, for example, 322167 + ... + 322477.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 2100242142 is an apocalyptic number.

100242142 is an abundant number, since it is smaller than the sum of its proper divisors (114873122).

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

100242142 is a wasteful number, since it uses less digits than its factorization.

100242142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 100242142 is about 10012.0997797665. The cubic root of 100242142 is about 464.5332225806.

Adding to 100242142 its reverse (241242001), we get a palindrome (341484143).

It can be divided in two parts, 100 and 242142, that added together give a palindrome (242242).

The spelling of 100242142 in words is "one hundred million, two hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 23 26 46 49 77 91 98 143 154 161 182 253 286 299 311 322 506 539 598 622 637 1001 1078 1127 1274 1771 2002 2093 2177 2254 3289 3421 3542 4043 4186 4354 6578 6842 7007 7153 8086 12397 14014 14306 14651 15239 23023 23947 24794 28301 29302 30478 44473 46046 47894 50071 56602 78683 88946 92989 100142 157366 161161 167629 185978 198107 311311 322322 335258 350497 396214 550781 622622 650923 700994 1022879 1101562 1301846 2045758 2179177 3855467 4358354 4556461 7160153 7710934 9112922 14320306 50121071 100242142