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2142013510 = 257133175931
BaseRepresentation
bin111111110101100…
…1000100001000110
312112021120120010201
41333223020201012
513341323413020
6552314441114
7104036546230
oct17753104106
95467516121
102142013510
119aa1244aa
124b943319a
13281a0b020
141646a5250
15c80b5a0a
hex7fac8846

2142013510 has 64 divisors (see below), whose sum is σ = 4898525184. Its totient is φ = 656035200.

The previous prime is 2142013501. The next prime is 2142013519. The reversal of 2142013510 is 153102412.

It is an interprime number because it is at equal distance from previous prime (2142013501) and next prime (2142013519).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142013519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9756 + ... + 66175.

It is an arithmetic number, because the mean of its divisors is an integer number (76539456).

Almost surely, 22142013510 is an apocalyptic number.

2142013510 is an abundant number, since it is smaller than the sum of its proper divisors (2756511674).

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

2142013510 is a wasteful number, since it uses less digits than its factorization.

2142013510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75989.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2142013510 is about 46281.8918152662. The cubic root of 2142013510 is about 1289.0627789756.

Adding to 2142013510 its reverse (153102412), we get a palindrome (2295115922).

The spelling of 2142013510 in words is "two billion, one hundred forty-two million, thirteen thousand, five hundred ten".

Divisors: 1 2 5 7 10 13 14 26 31 35 62 65 70 91 130 155 182 217 310 403 434 455 806 910 1085 2015 2170 2821 4030 5642 14105 28210 75931 151862 379655 531517 759310 987103 1063034 1974206 2353861 2657585 4707722 4935515 5315170 6909721 9871030 11769305 13819442 16477027 23538610 30600193 32954054 34548605 61200386 69097210 82385135 153000965 164770270 214201351 306001930 428402702 1071006755 2142013510