Search a number
-
+
2131021201200 = 243523747995973
BaseRepresentation
bin11111000000101010110…
…000101111111100110000
321112201112112100111021120
4133000222300233330300
5234403312411414300
64310551100022240
7306650456224263
oct37005260577460
97481475314246
102131021201200
11751840a04551
122a500a831980
13125c53b8a168
14751db824cda
153a67580e3a0
hex1f02ac2ff30

2131021201200 has 120 divisors (see below), whose sum is σ = 7010867914128. Its totient is φ = 552913597440.

The previous prime is 2131021201193. The next prime is 2131021201201. The reversal of 2131021201200 is 21021201312.

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 2131021201200.

It is not an unprimeable number, because it can be changed into a prime (2131021201201) 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, 23953587 + ... + 24042386.

Almost surely, 22131021201200 is an apocalyptic number.

2131021201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131021201200 is an abundant number, since it is smaller than the sum of its proper divisors (4879846712928).

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

2131021201200 is a wasteful number, since it uses less digits than its factorization.

2131021201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47996031 (or 47996020 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2131021201200 its reverse (21021201312), we get a palindrome (2152042402512).

The spelling of 2131021201200 in words is "two trillion, one hundred thirty-one billion, twenty-one million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 47995973 95991946 143987919 191983892 239979865 287975838 383967784 479959730 575951676 719939595 767935568 959919460 1151903352 1199899325 1439879190 1775851001 1919838920 2303806704 2399798650 2879758380 3551702002 3599697975 3839677840 4799597300 5327553003 5759516760 7103404004 7199395950 8879255005 9599194600 10655106006 11519033520 14206808008 14398791900 17758510010 19198389200 21310212012 26637765015 28413616016 28797583800 35517020020 42620424024 44396275025 53275530030 57595167600 71034040040 85240848048 88792550050 106551060060 133188825075 142068080080 177585100100 213102120120 266377650150 355170200200 426204240240 532755300300 710340400400 1065510600600 2131021201200