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2131211101200 = 243523157290621
BaseRepresentation
bin11111000000110110000…
…101001010010000010000
321112202000202200102002220
4133000312011022100100
5234404210020214300
64311022002141040
7306655253314506
oct37006605122020
97482022612086
102131211101200
117519291191a5
122a5062351780
13125c8431921c
1475218b38676
153a687320da0
hex1f03614a410

2131211101200 has 120 divisors (see below), whose sum is σ = 7047204830976. Its totient is φ = 549989952000.

The previous prime is 2131211101121. The next prime is 2131211101237. The reversal of 2131211101200 is 21011121312.

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 2131211101200.

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, 28608111 + ... + 28682510.

Almost surely, 22131211101200 is an apocalyptic number.

2131211101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131211101200 is an abundant number, since it is smaller than the sum of its proper divisors (4915993729776).

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

2131211101200 is a wasteful number, since it uses less digits than its factorization.

2131211101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57290673 (or 57290662 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2131211101200 its reverse (21011121312), we get a palindrome (2152222222512).

The spelling of 2131211101200 in words is "two trillion, one hundred thirty-one billion, two hundred eleven million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 150 155 186 200 240 248 300 310 372 400 465 496 600 620 744 775 930 1200 1240 1488 1550 1860 2325 2480 3100 3720 4650 6200 7440 9300 12400 18600 37200 57290621 114581242 171871863 229162484 286453105 343743726 458324968 572906210 687487452 859359315 916649936 1145812420 1374974904 1432265525 1718718630 1776009251 2291624840 2749949808 2864531050 3437437260 3552018502 4296796575 4583249680 5328027753 5729062100 6874874520 7104037004 8593593150 8880046255 10656055506 11458124200 13749749040 14208074008 17187186300 17760092510 21312111012 22916248400 26640138765 28416148016 34374372600 35520185020 42624222024 44400231275 53280277530 68748745200 71040370040 85248444048 88800462550 106560555060 133200693825 142080740080 177600925100 213121110120 266401387650 355201850200 426242220240 532802775300 710403700400 1065605550600 2131211101200