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22011010020 = 22325795212971
BaseRepresentation
bin10100011111111101…
…010101101111100100
32002210222121011101100
4110133331111233210
5330034304310040
614040044200100
71406311332606
oct243775255744
962728534340
1022011010020
11937570667a
124323539030
1320ca2084ac
1410cb409176
1588c5a5b30
hex51ff55be4

22011010020 has 144 divisors (see below), whose sum is σ = 67764453120. Its totient is φ = 5782233600.

The previous prime is 22011010019. The next prime is 22011010033. The reversal of 22011010020 is 2001011022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22011009984 and 22011010011.

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, 7407135 + ... + 7410105.

It is an arithmetic number, because the mean of its divisors is an integer number (470586480).

Almost surely, 222011010020 is an apocalyptic number.

22011010020 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 22011010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33882226560).

22011010020 is an abundant number, since it is smaller than the sum of its proper divisors (45753443100).

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

22011010020 is a wasteful number, since it uses less digits than its factorization.

22011010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22011010020 its reverse (2001011022), we get a palindrome (24012021042).

The spelling of 22011010020 in words is "twenty-two billion, eleven million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 521 711 790 948 1042 1185 1422 1563 1580 2084 2370 2605 2844 2971 3126 3555 4689 4740 5210 5942 6252 7110 7815 8913 9378 10420 11884 14220 14855 15630 17826 18756 23445 26739 29710 31260 35652 41159 44565 46890 53478 59420 82318 89130 93780 106956 123477 133695 164636 178260 205795 234709 246954 267390 370431 411590 469418 493908 534780 617385 704127 740862 823180 938836 1173545 1234770 1408254 1481724 1547891 1852155 2112381 2347090 2469540 2816508 3095782 3520635 3704310 4224762 4643673 4694180 6191564 7041270 7408620 7739455 8449524 9287346 10561905 13931019 14082540 15478910 18574692 21123810 23218365 27862038 30957820 42247620 46436730 55724076 69655095 92873460 122283389 139310190 244566778 278620380 366850167 489133556 611416945 733700334 1100550501 1222833890 1467400668 1834250835 2201101002 2445667780 3668501670 4402202004 5502752505 7337003340 11005505010 22011010020