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21122132334432 = 2531031213406607
BaseRepresentation
bin1001100110101111000010…
…01100011101011101100000
32202210020220201102100120120
410303113201030131131200
510232031111334200212
6112531212412240240
74310011062340533
oct463274114353540
982706821370516
1021122132334432
116803934060508
12245173b470080
13ba2a6846618c
14530460cb2a1a
1526967d8a588c
hex1335e131d760

21122132334432 has 48 divisors (see below), whose sum is σ = 55499376102912. Its totient is φ = 7033881733760.

The previous prime is 21122132334431. The next prime is 21122132334449. The reversal of 21122132334432 is 23443323122112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×211221323344322 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21122132334393 and 21122132334402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122132334431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106604328 + ... + 106802279.

It is an arithmetic number, because the mean of its divisors is an integer number (1156237002144).

Almost surely, 221122132334432 is an apocalyptic number.

It is an amenable number.

21122132334432 is an abundant number, since it is smaller than the sum of its proper divisors (34377243768480).

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

21122132334432 is a wasteful number, since it uses less digits than its factorization.

21122132334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213407651 (or 213407643 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 21122132334432 its reverse (23443323122112), we get a palindrome (44565455456544).

The spelling of 21122132334432 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred thirty-two million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1031 2062 3093 4124 6186 8248 12372 16496 24744 32992 49488 98976 213406607 426813214 640219821 853626428 1280439642 1707252856 2560879284 3414505712 5121758568 6829011424 10243517136 20487034272 220022211817 440044423634 660066635451 880088847268 1320133270902 1760177694536 2640266541804 3520355389072 5280533083608 7040710778144 10561066167216 21122132334432