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20221222010013 = 3971109132749
BaseRepresentation
bin1001001100100000111101…
…10000010011110010011101
32122121010111201201000000000
410212100132300103302131
510122301030313310023
6111001300125324513
74154635506051123
oct446203660236235
978533451630000
1020221222010013
116496854727492
122327012406739
13b38b1220a28b
144dc9d8a43913
152510014ad243
hex12641ec13c9d

20221222010013 has 80 divisors (see below), whose sum is σ = 31040943120000. Its totient is φ = 13168909575360.

The previous prime is 20221222009991. The next prime is 20221222010021. The reversal of 20221222010013 is 31001022212202.

It is not a de Polignac number, because 20221222010013 - 217 = 20221221878941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221222010053) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152260363 + ... + 152393111.

It is an arithmetic number, because the mean of its divisors is an integer number (388011789000).

Almost surely, 220221222010013 is an apocalyptic number.

It is an amenable number.

20221222010013 is a deficient number, since it is larger than the sum of its proper divisors (10819721109987).

20221222010013 is an frugal number, since it uses more digits than its factorization.

20221222010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132956 (or 132932 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20221222010013 its reverse (31001022212202), we get a palindrome (51222244222215).

The spelling of 20221222010013 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, ten thousand, thirteen".

Divisors: 1 3 9 27 71 81 109 213 243 327 639 729 981 1917 2187 2943 5751 6561 7739 8829 17253 19683 23217 26487 51759 69651 79461 132749 155277 208953 238383 398247 465831 626859 715149 1194741 1397493 1880577 2145447 3584223 5641731 9425179 10752669 14469641 16925193 28275537 32258007 43408923 50775579 84826611 96774021 130226769 152326737 254479833 290322063 390680307 763439499 870966189 1027344511 1172040921 2290318497 2612898567 3082033533 3516122763 6870955491 9246100599 10548368289 20612866473 27738301797 31645104867 61838599419 83214905391 94935314601 185515798257 249644716173 284805943803 748934148519 2246802445557 6740407336671 20221222010013