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2142505981 = 71127334651
BaseRepresentation
bin111111110110100…
…0000101111111101
312112022111120200101
41333231000233331
513341440142411
6552333201101
7104044000060
oct17755005775
95468446611
102142505981
119aa430500
124b9630191
13281b51225
141647928d7
15c81618c1
hex7fb40bfd

2142505981 has 24 divisors (see below), whose sum is σ = 2728359872. Its totient is φ = 1646568000.

The previous prime is 2142505933. The next prime is 2142506017. The reversal of 2142505981 is 1895052412.

It is not a de Polignac number, because 2142505981 - 211 = 2142503933 is a prime.

It is a super-2 number, since 2×21425059812 = 9180663757241544722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2142505981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142505381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44506 + ... + 79156.

Almost surely, 22142505981 is an apocalyptic number.

It is an amenable number.

2142505981 is a deficient number, since it is larger than the sum of its proper divisors (585853891).

2142505981 is a wasteful number, since it uses less digits than its factorization.

2142505981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34753 (or 34742 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 2142505981 is about 46287.2118516551. The cubic root of 2142505981 is about 1289.1615610154.

The spelling of 2142505981 in words is "two billion, one hundred forty-two million, five hundred five thousand, nine hundred eighty-one".

Divisors: 1 7 11 73 77 121 511 803 847 5621 8833 34651 61831 242557 381161 2529523 2668127 4192771 17706661 27824753 29349397 194773271 306072283 2142505981