Search a number
-
+
2002310142 = 23767799007
BaseRepresentation
bin111011101011000…
…1101001111111110
312011112200220010220
41313112031033332
513100042411032
6530404242210
7100422232620
oct16726151776
95145626126
102002310142
11938285278
1247a6a0366
1325baa5a01
1414dcdac10
15babbc12c
hex7758d3fe

2002310142 has 64 divisors (see below), whose sum is σ = 4704337920. Its totient is φ = 556354656.

The previous prime is 2002310137. The next prime is 2002310143. The reversal of 2002310142 is 2410132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002310143) 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, 217803 + ... + 226809.

It is an arithmetic number, because the mean of its divisors is an integer number (73505280).

Almost surely, 22002310142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002310142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352168960).

2002310142 is an abundant number, since it is smaller than the sum of its proper divisors (2702027778).

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

2002310142 is a wasteful number, since it uses less digits than its factorization.

2002310142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2002310142 is about 44747.1802687052. The cubic root of 2002310142 is about 1260.4059626622.

Adding to 2002310142 its reverse (2410132002), we get a palindrome (4412442144).

The spelling of 2002310142 in words is "two billion, two million, three hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 67 79 134 158 201 237 402 469 474 553 938 1106 1407 1659 2814 3318 5293 9007 10586 15879 18014 27021 31758 37051 54042 63049 74102 111153 126098 189147 222306 378294 603469 711553 1206938 1423106 1810407 2134659 3620814 4224283 4269318 4980871 8448566 9961742 12672849 14942613 25345698 29885226 47674051 95348102 143022153 286044306 333718357 667436714 1001155071 2002310142