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22110101020 = 22572354712553
BaseRepresentation
bin10100100101110111…
…010101111000011100
32010001220001111200101
4110211313111320130
5330240141213040
614053544110444
71411623520630
oct244567257034
963056044611
1022110101020
119416637167
124350765424
1321148c1317
1410da640dc0
1589612b09a
hex525dd5e1c

22110101020 has 96 divisors (see below), whose sum is σ = 55477029888. Its totient is φ = 7237181952.

The previous prime is 22110101017. The next prime is 22110101021. The reversal of 22110101020 is 2010101122.

It is a super-2 number, since 2×221101010202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22110100988 and 22110101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22110101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1755064 + ... + 1767616.

It is an arithmetic number, because the mean of its divisors is an integer number (577885728).

Almost surely, 222110101020 is an apocalyptic number.

22110101020 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 22110101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738514944).

22110101020 is an abundant number, since it is smaller than the sum of its proper divisors (33366928868).

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

22110101020 is a wasteful number, since it uses less digits than its factorization.

22110101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13139 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22110101020 its reverse (2010101122), we get a palindrome (24120202142).

The spelling of 22110101020 in words is "twenty-two billion, one hundred ten million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 547 644 805 1094 1610 2188 2735 3220 3829 5470 7658 10940 12553 12581 15316 19145 25106 25162 38290 50212 50324 62765 62905 76580 87871 88067 125530 125810 175742 176134 251060 251620 288719 351484 352268 439355 440335 577438 878710 880670 1154876 1443595 1757420 1761340 2021033 2887190 4042066 5774380 6866491 8084132 10105165 13732982 20210330 27465964 34332455 40420660 48065437 68664910 96130874 137329820 157929293 192261748 240327185 315858586 480654370 631717172 789646465 961308740 1105505051 1579292930 2211010102 3158585860 4422020204 5527525255 11055050510 22110101020