Search a number
-
+
100220020000200 = 23335218559262963
BaseRepresentation
bin10110110010011001001010…
…101100010000010111001000
3111010211221101111202121011000
4112302121022230100113020
5101114001100110001300
6553052235214535000
730052441344242622
oct2662311254202710
9433757344677130
10100220020000200
1129a2a087617891
12b2a7389b07460
1343bc927023289
141aa6963b03c12
15b8be45610c00
hex5b264ab105c8

100220020000200 has 96 divisors (see below), whose sum is σ = 345202291130400. Its totient is φ = 26725338665280.

The previous prime is 100220020000169. The next prime is 100220020000201. The reversal of 100220020000200 is 2000020022001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100220020000201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9279626082 + ... + 9279636881.

It is an arithmetic number, because the mean of its divisors is an integer number (3595857199275).

Almost surely, 2100220020000200 is an apocalyptic number.

100220020000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220020000200 is an abundant number, since it is smaller than the sum of its proper divisors (244982271130200).

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

100220020000200 is a wasteful number, since it uses less digits than its factorization.

100220020000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18559262988 (or 18559262973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100220020000200 its reverse (2000020022001), we get a palindrome (102220040022201).

The spelling of 100220020000200 in words is "one hundred trillion, two hundred twenty billion, twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 18559262963 37118525926 55677788889 74237051852 92796314815 111355577778 148474103704 167033366667 185592629630 222711155556 278388944445 334066733334 371185259260 445422311112 463981574075 501100100001 556777888890 668133466668 742370518520 835166833335 927963148150 1002200200002 1113555777780 1336266933336 1391944722225 1670333666670 1855926296300 2004400400004 2227111555560 2505500500005 2783889444450 3340667333340 3711852592600 4008800800008 4175834166675 5011001000010 5567778888900 6681334666680 8351668333350 10022002000020 11135557777800 12527502500025 16703336666700 20044004000040 25055005000050 33406673333400 50110010000100 100220020000200