Search a number
-
+
132202230211200 = 2735213771065647
BaseRepresentation
bin11110000011110010111010…
…111110000110001010000000
3122100002102001201200021212010
4132003302322332012022000
5114312000131413224300
61145100511030132520
736563203335511152
oct3603627276061200
9570072051607763
10132202230211200
113913a7184a3966
12129b18174b1140
13589c8031b7206
14249089cdd2ad2
151043d3b6d3a50
hex783cbaf86280

132202230211200 has 96 divisors (see below), whose sum is σ = 435441095789760. Its totient is φ = 35253928053760.

The previous prime is 132202230211189. The next prime is 132202230211213. The reversal of 132202230211200 is 2112032202231.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6885523224 + ... + 6885542423.

It is an arithmetic number, because the mean of its divisors is an integer number (4535844747810).

Almost surely, 2132202230211200 is an apocalyptic number.

132202230211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132202230211200 is an abundant number, since it is smaller than the sum of its proper divisors (303238865578560).

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

132202230211200 is a wasteful number, since it uses less digits than its factorization.

132202230211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13771065674 (or 13771065657 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132202230211200 its reverse (2112032202231), we get a palindrome (134314262413431).

The spelling of 132202230211200 in words is "one hundred thirty-two trillion, two hundred two billion, two hundred thirty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 13771065647 27542131294 41313196941 55084262588 68855328235 82626393882 110168525176 137710656470 165252787764 206565984705 220337050352 275421312940 330505575528 344276641175 413131969410 440674100704 550842625880 661011151056 688553282350 826263938820 881348201408 1032829923525 1101685251760 1322022302112 1377106564700 1652527877640 1762696402816 2065659847050 2203370503520 2644044604224 2754213129400 3305055755280 4131319694100 4406741007040 5288089208448 5508426258800 6610111510560 8262639388200 8813482014080 11016852517600 13220223021120 16525278776400 22033705035200 26440446042240 33050557552800 44067410070400 66101115105600 132202230211200