Search a number
-
+
2200131013200 = 243522118689301
BaseRepresentation
bin100000000001000010000…
…001110000101001010000
321210022220220122200210020
4200001002001300221100
5242021332014410300
64402420511103440
7314645204022531
oct40010201605120
97708826580706
102200131013200
1177908566615a
122b6497511b80
1312c618a65243
14786b6116688
153c36cbd08a0
hex20042070a50

2200131013200 has 120 divisors (see below), whose sum is σ = 7081155500256. Its totient is φ = 583920960000.

The previous prime is 2200131013181. The next prime is 2200131013253. The reversal of 2200131013200 is 23101310022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200131013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4091451 + ... + 4597850.

Almost surely, 22200131013200 is an apocalyptic number.

2200131013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200131013200 is an abundant number, since it is smaller than the sum of its proper divisors (4881024487056).

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

2200131013200 is a wasteful number, since it uses less digits than its factorization.

2200131013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8689533 (or 8689522 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2200131013200 its reverse (23101310022), we get a palindrome (2223232323222).

The spelling of 2200131013200 in words is "two trillion, two hundred billion, one hundred thirty-one million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 211 240 300 400 422 600 633 844 1055 1200 1266 1688 2110 2532 3165 3376 4220 5064 5275 6330 8440 10128 10550 12660 15825 16880 21100 25320 31650 42200 50640 63300 84400 126600 253200 8689301 17378602 26067903 34757204 43446505 52135806 69514408 86893010 104271612 130339515 139028816 173786020 208543224 217232525 260679030 347572040 417086448 434465050 521358060 651697575 695144080 868930100 1042716120 1303395150 1737860200 1833442511 2085432240 2606790300 3475720400 3666885022 5213580600 5500327533 7333770044 9167212555 10427161200 11000655066 14667540088 18334425110 22001310132 27501637665 29335080176 36668850220 44002620264 45836062775 55003275330 73337700440 88005240528 91672125550 110006550660 137508188325 146675400880 183344251100 220013101320 275016376650 366688502200 440026202640 550032753300 733377004400 1100065506600 2200131013200