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2142200151 = 3271323113723
BaseRepresentation
bin111111110101111…
…0110000101010111
312112021221001011100
41333223312011113
513341400401101
6552322441143
7104041254330
oct17753660527
95467831140
102142200151
119aa241753
124b95031b3
13281a74c70
14164713287
15c8100e86
hex7faf6157

2142200151 has 48 divisors (see below), whose sum is σ = 3973971456. Its totient is φ = 1080813888.

The previous prime is 2142200147. The next prime is 2142200171. The reversal of 2142200151 is 1510022412.

It is not a de Polignac number, because 2142200151 - 22 = 2142200147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142200171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38025 + ... + 75698.

It is an arithmetic number, because the mean of its divisors is an integer number (82791072).

Almost surely, 22142200151 is an apocalyptic number.

2142200151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2142200151 is a deficient number, since it is larger than the sum of its proper divisors (1831771305).

2142200151 is a wasteful number, since it uses less digits than its factorization.

2142200151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113772 (or 113769 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2142200151 is about 46283.9081215059. The cubic root of 2142200151 is about 1289.1002180452.

Adding to 2142200151 its reverse (1510022412), we get a palindrome (3652222563).

The spelling of 2142200151 in words is "two billion, one hundred forty-two million, two hundred thousand, one hundred fifty-one".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 207 273 299 483 819 897 1449 2093 2691 6279 18837 113723 341169 796061 1023507 1478399 2388183 2615629 4435197 7164549 7846887 10348793 13305591 18309403 23540661 31046379 34003177 54928209 93139137 102009531 164784627 238022239 306028593 714066717 2142200151