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2002131032 = 231131733919
BaseRepresentation
bin111011101010110…
…0001100001011000
312011112100210110012
41313111201201120
513100021143112
6530400341052
7100420555466
oct16725414130
95145323405
102002131032
11938172750
1247a614788
1325ba42325
1414dc91836
15bab84022
hex77561858

2002131032 has 32 divisors (see below), whose sum is σ = 4227379200. Its totient is φ = 880701600.

The previous prime is 2002130993. The next prime is 2002131083. The reversal of 2002131032 is 2301312002.

2002131032 = 3342 + 3352 + ... + 18212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2002130998 and 2002131016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364232 + ... + 369687.

It is an arithmetic number, because the mean of its divisors is an integer number (132105600).

Almost surely, 22002131032 is an apocalyptic number.

2002131032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2002131032 is an abundant number, since it is smaller than the sum of its proper divisors (2225248168).

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

2002131032 is a wasteful number, since it uses less digits than its factorization.

2002131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733967 (or 733963 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2002131032 is about 44745.1788687899. The cubic root of 2002131032 is about 1260.3683797326.

Adding to 2002131032 its reverse (2301312002), we get a palindrome (4303443034).

The spelling of 2002131032 in words is "two billion, two million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 733919 1467838 2935676 5871352 8073109 16146218 22751489 32292436 45502978 64584872 91005956 182011912 250266379 500532758 1001065516 2002131032