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2131001221200 = 243523747995523
BaseRepresentation
bin11111000000101001100…
…100100010000001010000
321112201111010202101212120
4133000221210202001100
5234403242303034300
64310545103454240
7306650124340455
oct37005144420120
97481433671776
102131001221200
117518306a8255
122a5003bb7380
13125c4c9b2b87
14751d8d0382c
153a673bb43a0
hex1f029922050

2131001221200 has 120 divisors (see below), whose sum is σ = 7010802181728. Its totient is φ = 552908413440.

The previous prime is 2131001221117. The next prime is 2131001221201. The reversal of 2131001221200 is 21221001312.

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 2131001221200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131001221201) 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, 23953362 + ... + 24042161.

Almost surely, 22131001221200 is an apocalyptic number.

2131001221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131001221200 is an abundant number, since it is smaller than the sum of its proper divisors (4879800960528).

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

2131001221200 is a wasteful number, since it uses less digits than its factorization.

2131001221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47995581 (or 47995570 counting only the distinct ones).

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

Adding to 2131001221200 its reverse (21221001312), we get a palindrome (2152222222512).

The spelling of 2131001221200 in words is "two trillion, one hundred thirty-one billion, one million, two hundred twenty-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 47995523 95991046 143986569 191982092 239977615 287973138 383964184 479955230 575946276 719932845 767928368 959910460 1151892552 1199888075 1439865690 1775834351 1919820920 2303785104 2399776150 2879731380 3551668702 3599664225 3839641840 4799552300 5327503053 5759462760 7103337404 7199328450 8879171755 9599104600 10655006106 11518925520 14206674808 14398656900 17758343510 19198209200 21310012212 26637515265 28413349616 28797313800 35516687020 42620024424 44395858775 53275030530 57594627600 71033374040 85240048848 88791717550 106550061060 133187576325 142066748080 177583435100 213100122120 266375152650 355166870200 426200244240 532750305300 710333740400 1065500610600 2131001221200