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20122011340 = 22529311318543
BaseRepresentation
bin10010101111010111…
…011000011011001100
31220221100010002100021
4102233113120123030
5312202213330330
613124404311524
71311433163044
oct225727303314
956840102307
1020122011340
118596394a42
123a969a25a4
131b88a571b2
14d8c5a6724
157cb81c67a
hex4af5d86cc

20122011340 has 96 divisors (see below), whose sum is σ = 45473218560. Its totient is φ = 7462291200.

The previous prime is 20122011331. The next prime is 20122011341. The reversal of 20122011340 is 4311022102.

It is not an unprimeable number, because it can be changed into a prime (20122011341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2351109 + ... + 2359651.

It is an arithmetic number, because the mean of its divisors is an integer number (473679360).

Almost surely, 220122011340 is an apocalyptic number.

20122011340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22736609280).

20122011340 is an abundant number, since it is smaller than the sum of its proper divisors (25351207220).

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

20122011340 is a wasteful number, since it uses less digits than its factorization.

20122011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20122011340 its reverse (4311022102), we get a palindrome (24433033442).

The spelling of 20122011340 in words is "twenty billion, one hundred twenty-two million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 131 145 155 262 290 310 524 580 620 655 899 1310 1798 2620 3596 3799 4061 4495 7598 8122 8543 8990 15196 16244 17086 17980 18995 20305 34172 37990 40610 42715 75980 81220 85430 117769 170860 235538 247747 264833 471076 495494 529666 588845 990988 1059332 1119133 1177690 1238735 1324165 2238266 2355380 2477470 2648330 4476532 4954940 5296660 5595665 7680157 11191330 15360314 22382660 30720628 32454857 34693123 38400785 64909714 69386246 76801570 129819428 138772492 153603140 162274285 173465615 324548570 346931230 649097140 693862460 1006100567 2012201134 4024402268 5030502835 10061005670 20122011340