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31022022022020 = 22325675774458071
BaseRepresentation
bin1110000110110111000001…
…00110100101001110000100
311001211200021001102210222100
413003123200212211032010
513031231100114201040
6145551153054032100
76351160424264121
oct703334046451604
9131750231383870
1031022022022020
119980402764047
1235903384a8630
131440496c9a643
1479368c467748
1538be49a6db30
hex1c36e09a5384

31022022022020 has 144 divisors (see below), whose sum is σ = 95670153790848. Its totient is φ = 8134943477760.

The previous prime is 31022022022003. The next prime is 31022022022049. The reversal of 31022022022020 is 2022022022013.

31022022022020 is a `hidden beast` number, since 3 + 1 + 0 + 220 + 220 + 220 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31022022021984 and 31022022022002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4729585 + ... + 9187655.

It is an arithmetic number, because the mean of its divisors is an integer number (664376067992).

Almost surely, 231022022022020 is an apocalyptic number.

31022022022020 is a gapful number since it is divisible by the number (30) 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 31022022022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47835076895424).

31022022022020 is an abundant number, since it is smaller than the sum of its proper divisors (64648131768828).

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

31022022022020 is a wasteful number, since it uses less digits than its factorization.

31022022022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458730 (or 4458725 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 31022022022020 its reverse (2022022022013), we get a palindrome (33044044044033).

The spelling of 31022022022020 in words is "thirty-one trillion, twenty-two billion, twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 577 603 670 804 1005 1154 1206 1340 1731 2010 2308 2412 2885 3015 3462 4020 5193 5770 6030 6924 8655 10386 11540 12060 17310 20772 25965 34620 38659 51930 77318 103860 115977 154636 193295 231954 347931 386590 463908 579885 695862 773180 1159770 1391724 1739655 2319540 3479310 4458071 6958620 8916142 13374213 17832284 22290355 26748426 40122639 44580710 53496852 66871065 80245278 89161420 133742130 160490556 200613195 267484260 298690757 401226390 597381514 802452780 896072271 1194763028 1493453785 1792144542 2572306967 2688216813 2986907570 3584289084 4480361355 5144613934 5376433626 5973815140 7716920901 8960722710 10289227868 10752867252 12861534835 13441084065 15433841802 17921445420 23150762703 25723069670 26882168130 30867683604 38584604505 46301525406 51446139340 53764336260 77169209010 92603050812 115753813515 154338418020 172344566789 231507627030 344689133578 463015254060 517033700367 689378267156 861722833945 1034067400734 1551101101101 1723445667890 2068134801468 2585168501835 3102202202202 3446891335780 5170337003670 6204404404404 7755505505505 10340674007340 15511011011010 31022022022020