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20331033432020 = 225172291033725261
BaseRepresentation
bin1001001111101101100000…
…00001101000111111010100
32122222121221200021012222222
410213312300001220333110
510131100424024311040
6111123540421241512
74165603650535403
oct447666001507724
978877850235888
1020331033432020
116529385386113
122344359b63298
13b4629261ba6c
14504054b7963a
15253ccbc55bb5
hex127db0068fd4

20331033432020 has 96 divisors (see below), whose sum is σ = 45410249717280. Its totient is φ = 7619573514240.

The previous prime is 20331033432019. The next prime is 20331033432029. The reversal of 20331033432020 is 2023433013302.

It can be written as a sum of positive squares in 16 ways, for example, as 5613099163204 + 14717934268816 = 2369198^2 + 3836396^2 .

It is a super-2 number, since 2×203310334320202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331033432029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804826190 + ... + 804851450.

It is an arithmetic number, because the mean of its divisors is an integer number (473023434555).

Almost surely, 220331033432020 is an apocalyptic number.

20331033432020 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 20331033432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705124858640).

20331033432020 is an abundant number, since it is smaller than the sum of its proper divisors (25079216285260).

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

20331033432020 is a wasteful number, since it uses less digits than its factorization.

20331033432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35853 (or 35851 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 20331033432020 its reverse (2023433013302), we get a palindrome (22354466445322).

The spelling of 20331033432020 in words is "twenty trillion, three hundred thirty-one billion, thirty-three million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 340 458 916 1145 2290 3893 4580 7786 10337 15572 19465 20674 25261 38930 41348 50522 51685 77860 101044 103370 126305 175729 206740 252610 351458 429437 505220 702916 858874 878645 1717748 1757290 2147185 2367173 3514580 4294370 4734346 5784769 8588740 9468692 11569538 11835865 23139076 23671730 28923845 40241941 47343460 57847690 80483882 98341073 115695380 160967764 196682146 201209705 261122957 393364292 402419410 491705365 522245914 804838820 983410730 1044491828 1305614785 1966821460 2611229570 4439090269 5222459140 8878180538 17756361076 22195451345 44390902690 59797157153 88781805380 119594314306 239188628612 298985785765 597971571530 1016551671601 1195943143060 2033103343202 4066206686404 5082758358005 10165516716010 20331033432020