Search a number
-
+
2100011301232 = 241323557788089
BaseRepresentation
bin11110100011110010011…
…011010111100101110000
321102202111101202100120221
4132203302123113211300
5233401310343114412
64244422030142424
7304502144352535
oct36436233274560
97382441670527
102100011301232
1173a6786a5749
1229abb5651a14
131230514cca20
14738d9212d8c
153995d1eab07
hex1e8f26d7970

2100011301232 has 80 divisors (see below), whose sum is σ = 4580479955520. Its totient is φ = 925429671936.

The previous prime is 2100011301217. The next prime is 2100011301253. The reversal of 2100011301232 is 2321031100012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2270644 + ... + 3058732.

It is an arithmetic number, because the mean of its divisors is an integer number (57255999444).

Almost surely, 22100011301232 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 2100011301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290239977760).

2100011301232 is an abundant number, since it is smaller than the sum of its proper divisors (2480468654288).

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

2100011301232 is a wasteful number, since it uses less digits than its factorization.

2100011301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788690 (or 788684 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2100011301232 its reverse (2321031100012), we get a palindrome (4421042401244).

The spelling of 2100011301232 in words is "two trillion, one hundred billion, eleven million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 557 598 1114 1196 2228 2392 4456 4784 7241 8912 12811 14482 25622 28964 51244 57928 102488 115856 166543 204976 333086 666172 788089 1332344 1576178 2664688 3152356 6304712 10245157 12609424 18126047 20490314 36252094 40980628 72504188 81961256 145008376 163922512 235638611 290016752 438965573 471277222 877931146 942554444 1755862292 1885108888 3511724584 3770217776 5706552449 7023449168 10096208179 11413104898 20192416358 22826209796 40384832716 45652419592 80769665432 91304839184 131250706327 161539330864 262501412654 525002825308 1050005650616 2100011301232