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42120002132 = 22133744948757
BaseRepresentation
bin100111001110100011…
…000011101001010100
311000201102012210200222
4213032203003221110
51142230210032012
631203305453512
73020526053015
oct471643035124
9130642183628
1042120002132
111695470901a
1281b5aa1298
133c833547b0
142077d8300c
151167ba0972
hex9ce8c3a54

42120002132 has 48 divisors (see below), whose sum is σ = 81708656400. Its totient is φ = 18872082432.

The previous prime is 42120002083. The next prime is 42120002147. The reversal of 42120002132 is 23120002124.

It can be written as a sum of positive squares in 8 ways, for example, as 326741776 + 41793260356 = 18076^2 + 204434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42120002132.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 839498 + ... + 888254.

It is an arithmetic number, because the mean of its divisors is an integer number (1702263675).

Almost surely, 242120002132 is an apocalyptic number.

It is an amenable number.

42120002132 is a deficient number, since it is larger than the sum of its proper divisors (39588654268).

42120002132 is a wasteful number, since it uses less digits than its factorization.

42120002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49260 (or 49258 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 42120002132 its reverse (23120002124), we get a palindrome (65240004256).

The spelling of 42120002132 in words is "forty-two billion, one hundred twenty million, two thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 37 52 74 148 449 481 898 962 1796 1924 5837 11674 16613 23348 33226 48757 66452 97514 195028 215969 431938 633841 863876 1267682 1804009 2535364 3608018 7216036 21891893 23452117 43783786 46904234 87567572 93808468 284594609 569189218 810000041 1138378436 1620000082 3240000164 10530000533 21060001066 42120002132