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2130100032 = 26319583909
BaseRepresentation
bin111111011110110…
…1011111101000000
312111110011021220210
41332331223331000
513330301200112
6551211234120
7103533360114
oct17675537500
95443137823
102130100032
119a3427755
124b5448940
1327c3c9528
14162c83744
15c7010b3c
hex7ef6bf40

2130100032 has 56 divisors (see below), whose sum is σ = 5932525600. Its totient is φ = 672662016.

The previous prime is 2130100031. The next prime is 2130100033. The reversal of 2130100032 is 2300010312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2130100031) and next prime (2130100033).

It is a super-2 number, since 2×21301000322 = 9074652292652802048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2130099990 and 2130100017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130100031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288307 + ... + 295602.

Almost surely, 22130100032 is an apocalyptic number.

It is an amenable number.

2130100032 is an abundant number, since it is smaller than the sum of its proper divisors (3802425568).

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

2130100032 is a wasteful number, since it uses less digits than its factorization.

2130100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583943 (or 583933 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130100032 is about 46153.0067492899. The cubic root of 2130100032 is about 1286.6684926937.

Adding to 2130100032 its reverse (2300010312), we get a palindrome (4430110344).

The spelling of 2130100032 in words is "two billion, one hundred thirty million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 583909 1167818 1751727 2335636 3503454 4671272 7006908 9342544 11094271 14013816 18685088 22188542 28027632 33282813 37370176 44377084 56055264 66565626 88754168 112110528 133131252 177508336 266262504 355016672 532525008 710033344 1065050016 2130100032