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101421072200 = 23527232172
BaseRepresentation
bin101111001110100101…
…0101011111101001000
3100200210012122021211102
41132131022223331020
53130202243302300
6114331525320532
710220210614100
oct1363512537510
9320705567742
10101421072200
113a015607738
12177a5866148
139744058676
144ca1a9a200
152988d930d5
hex179d2abf48

101421072200 has 108 divisors (see below), whose sum is σ = 274387897035. Its totient is φ = 34762129920.

The previous prime is 101421072199. The next prime is 101421072227. The reversal of 101421072200 is 2270124101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

101421072200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 81383537284 + 20037534916 = 285278^2 + 141554^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=225190.

It is a super-2 number, since 2×1014210722002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31524992 + ... + 31528208.

Almost surely, 2101421072200 is an apocalyptic number.

101421072200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101421072200

101421072200 is an abundant number, since it is smaller than the sum of its proper divisors (172966824835).

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

101421072200 is an frugal number, since it uses more digits than its factorization.

101421072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 101421072200 its reverse (2270124101), we get a palindrome (103691196301).

The spelling of 101421072200 in words is "one hundred one billion, four hundred twenty-one million, seventy-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 3217 4900 6434 9800 12868 16085 22519 25736 32170 45038 64340 80425 90076 112595 128680 157633 160850 180152 225190 315266 321700 450380 562975 630532 643400 788165 900760 1125950 1261064 1576330 2251900 3152660 3940825 4503800 6305320 7881650 10349089 15763300 20698178 31526600 41396356 51745445 72443623 82792712 103490890 144887246 206981780 258727225 289774492 362218115 413963560 507105361 517454450 579548984 724436230 1014210722 1034908900 1448872460 1811090575 2028421444 2069817800 2535526805 2897744920 3622181150 4056842888 5071053610 7244362300 10142107220 12677634025 14488724600 20284214440 25355268050 50710536100 101421072200