Search a number
-
+
2100000300032 = 21016738332063
BaseRepresentation
bin11110100011110001110…
…001011001110000000000
321102202110122001102210002
4132203301301121300000
5233401300034100112
64244420554255132
7304501652013215
oct36436161316000
97382418042702
102100000300032
1173a672471348
1229abb1a274a8
1312304c14a53b
14738d798bb0c
153995c2761c2
hex1e8f1c59c00

2100000300032 has 88 divisors (see below), whose sum is σ = 4234245636096. Its totient is φ = 1040955158528.

The previous prime is 2100000300019. The next prime is 2100000300037. The reversal of 2100000300032 is 2300030000012.

It is a super-4 number, since 4×21000003000324 (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100000299986 and 2100000300022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100000300037) 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, 65480033 + ... + 65512095.

Almost surely, 22100000300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100000300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117122818048).

2100000300032 is an abundant number, since it is smaller than the sum of its proper divisors (2134245336064).

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

2100000300032 is a wasteful number, since it uses less digits than its factorization.

2100000300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32633 (or 32615 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 2100000300032 its reverse (2300030000012), we get a palindrome (4400030300044).

The spelling of 2100000300032 in words is "two trillion, one hundred billion, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 383 512 668 766 1024 1336 1532 2672 3064 5344 6128 10688 12256 21376 24512 32063 42752 49024 63961 64126 85504 98048 127922 128252 171008 196096 255844 256504 392192 511688 513008 1023376 1026016 2046752 2052032 4093504 4104064 5354521 8187008 8208128 10709042 12280129 16374016 16416256 21418084 24560258 32748032 32832512 42836168 49120516 65496064 85672336 98241032 171344672 196482064 342689344 392964128 685378688 785928256 1370757376 1571856512 2050781543 2741514752 3143713024 4101563086 5483029504 6287426048 8203126172 12574852096 16406252344 32812504688 65625009376 131250018752 262500037504 525000075008 1050000150016 2100000300032