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2442100381 = 71923726119
BaseRepresentation
bin1001000110001111…
…0111111010011101
320022012020112221021
42101203313322131
520000134203011
61042154404141
7114342340120
oct22143677235
96265215837
102442100381
111043558186
12581a30651
132cbc39516
1419249c3b7
15e45e0471
hex918f7e9d

2442100381 has 24 divisors (see below), whose sum is σ = 3025322880. Its totient is φ = 1929388896.

The previous prime is 2442100373. The next prime is 2442100403. The reversal of 2442100381 is 1830012442.

It is not a de Polignac number, because 2442100381 - 23 = 2442100373 is a prime.

It is a super-2 number, since 2×24421003812 = 11927708541760690322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442100301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 80440 + ... + 106558.

It is an arithmetic number, because the mean of its divisors is an integer number (126055120).

Almost surely, 22442100381 is an apocalyptic number.

It is an amenable number.

2442100381 is a deficient number, since it is larger than the sum of its proper divisors (583222499).

2442100381 is a wasteful number, since it uses less digits than its factorization.

2442100381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26201 (or 26182 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2442100381 is about 49417.6120527894. The cubic root of 2442100381 is about 1346.6492817564.

The spelling of 2442100381 in words is "two billion, four hundred forty-two million, one hundred thousand, three hundred eighty-one".

Divisors: 1 7 19 37 133 259 361 703 2527 4921 13357 26119 93499 182833 496261 966403 3473827 6764821 9428959 18361657 66002713 128531599 348871483 2442100381