Search a number
-
+
2231132130200 = 235231715068451
BaseRepresentation
bin100000011101111001110…
…101101000101110011000
321220021221102201121111202
4200131321311220232120
5243023324311131300
64424545024413332
7320123351124041
oct40357165505630
97807842647452
102231132130200
11790243a16206
123004a9777248
13132519668a5c
1479db74bd8c8
153d08465bad5
hex20779d68b98

2231132130200 has 96 divisors (see below), whose sum is σ = 5430136734720. Its totient is φ = 851499600000.

The previous prime is 2231132130163. The next prime is 2231132130209. The reversal of 2231132130200 is 20312311322.

2231132130200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22311321302003 (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231132130209) 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, 2094026 + ... + 2974425.

It is an arithmetic number, because the mean of its divisors is an integer number (56563924320).

Almost surely, 22231132130200 is an apocalyptic number.

2231132130200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231132130200 is an abundant number, since it is smaller than the sum of its proper divisors (3199004604520).

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

2231132130200 is a wasteful number, since it uses less digits than its factorization.

2231132130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068569 (or 5068560 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2231132130200 its reverse (20312311322), we get a palindrome (2251444441522).

The spelling of 2231132130200 in words is "two trillion, two hundred thirty-one billion, one hundred thirty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 71 100 124 142 155 200 248 284 310 355 568 620 710 775 1240 1420 1550 1775 2201 2840 3100 3550 4402 6200 7100 8804 11005 14200 17608 22010 44020 55025 88040 110050 220100 440200 5068451 10136902 20273804 25342255 40547608 50684510 101369020 126711275 157121981 202738040 253422550 314243962 359860021 506845100 628487924 719720042 785609905 1013690200 1256975848 1439440084 1571219810 1799300105 2878880168 3142439620 3598600210 3928049525 6284879240 7197200420 7856099050 8996500525 11155660651 14394400840 15712198100 17993001050 22311321302 31424396200 35986002100 44622642604 55778303255 71972004200 89245285208 111556606510 223113213020 278891516275 446226426040 557783032550 1115566065100 2231132130200