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20213122440 = 23357129718553
BaseRepresentation
bin10010110100110010…
…111100010110001000
31221011200120000021110
4102310302330112020
5312344024404230
613141421210320
71313620464060
oct226462742610
957150500243
1020213122440
118632865075
123b014009a0
131ba18a7aa4
14d9a7223a0
157d48184b0
hex4b4cbc588

20213122440 has 128 divisors (see below), whose sum is σ = 69359304960. Its totient is φ = 4616331264.

The previous prime is 20213122439. The next prime is 20213122441. The reversal of 20213122440 is 4422131202.

It is an interprime number because it is at equal distance from previous prime (20213122439) and next prime (20213122441).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20213122441) 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, 1080204 + ... + 1098756.

It is an arithmetic number, because the mean of its divisors is an integer number (541869570).

Almost surely, 220213122440 is an apocalyptic number.

20213122440 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 20213122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34679652480).

20213122440 is an abundant number, since it is smaller than the sum of its proper divisors (49146182520).

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

20213122440 is a wasteful number, since it uses less digits than its factorization.

20213122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19871 (or 19867 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20213122440 its reverse (4422131202), we get a palindrome (24635253642).

The spelling of 20213122440 in words is "twenty billion, two hundred thirteen million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1297 2594 3891 5188 6485 7782 9079 10376 12970 15564 18158 18553 19455 25940 27237 31128 36316 37106 38910 45395 51880 54474 55659 72632 74212 77820 90790 92765 108948 111318 129871 136185 148424 155640 181580 185530 217896 222636 259742 272370 278295 363160 371060 389613 445272 519484 544740 556590 649355 742120 779226 1038968 1089480 1113180 1298710 1558452 1948065 2226360 2597420 3116904 3896130 5194840 7792260 15584520 24063241 48126482 72189723 96252964 120316205 144379446 168442687 192505928 240632410 288758892 336885374 360948615 481264820 505328061 577517784 673770748 721897230 842213435 962529640 1010656122 1347541496 1443794460 1684426870 2021312244 2526640305 2887588920 3368853740 4042624488 5053280610 6737707480 10106561220 20213122440