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212231032131120 = 24356071456830259
BaseRepresentation
bin110000010000010111100011…
…010001111100111000110000
31000211110002101112102102221220
4300100113203101330320300
5210304143123211143440
62031213331251545040
762463120552126522
oct6020274321747060
91024402345372856
10212231032131120
1161694747871802
121b9779672bb180
1391563ba13cba2
143a5a072c41a12
1519809399898d0
hexc105e347ce30

212231032131120 has 80 divisors (see below), whose sum is σ = 659000081771520. Its totient is φ = 56501704726272.

The previous prime is 212231032131119. The next prime is 212231032131121. The reversal of 212231032131120 is 21131230132212.

It is an interprime number because it is at equal distance from previous prime (212231032131119) and next prime (212231032131121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212231032131121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728269450 + ... + 728560809.

It is an arithmetic number, because the mean of its divisors is an integer number (8237501022144).

Almost surely, 2212231032131120 is an apocalyptic number.

212231032131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212231032131120 is an abundant number, since it is smaller than the sum of its proper divisors (446769049640400).

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

212231032131120 is a wasteful number, since it uses less digits than its factorization.

212231032131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456830882 (or 1456830876 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212231032131120 its reverse (21131230132212), we get a palindrome (233362262263332).

The spelling of 212231032131120 in words is "two hundred twelve trillion, two hundred thirty-one billion, thirty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 607 1214 1821 2428 3035 3642 4856 6070 7284 9105 9712 12140 14568 18210 24280 29136 36420 48560 72840 145680 1456830259 2913660518 4370490777 5827321036 7284151295 8740981554 11654642072 14568302590 17481963108 21852453885 23309284144 29136605180 34963926216 43704907770 58273210360 69927852432 87409815540 116546420720 174819631080 349639262160 884295967213 1768591934426 2652887901639 3537183868852 4421479836065 5305775803278 7074367737704 8842959672130 10611551606556 13264439508195 14148735475408 17685919344260 21223103213112 26528879016390 35371838688520 42446206426224 53057758032780 70743677377040 106115516065560 212231032131120