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1010110022220 = 2235132195242967
BaseRepresentation
bin11101011001011110011…
…11111100001001001100
310120120021022012202201110
432230233033330021030
5113022201131202340
62052012123212020
7132656316344325
oct16545717741114
93516238182643
101010110022220
1135a426857262
12143923977010
13743399c8500
1436c6504944c
151b41e108680
hexeb2f3fc24c

1010110022220 has 144 divisors (see below), whose sum is σ = 3223796163840. Its totient is φ = 235555976448.

The previous prime is 1010110022197. The next prime is 1010110022221. The reversal of 1010110022220 is 222200110101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010110022196 and 1010110022205.

It is not an unprimeable number, because it can be changed into a prime (1010110022221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2428824 + ... + 2814143.

It is an arithmetic number, because the mean of its divisors is an integer number (22387473360).

Almost surely, 21010110022220 is an apocalyptic number.

1010110022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010110022220 is an abundant number, since it is smaller than the sum of its proper divisors (2213686141620).

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

1010110022220 is a wasteful number, since it uses less digits than its factorization.

1010110022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243024 (or 5243009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010110022220 its reverse (222200110101), we get a palindrome (1232310132321).

The spelling of 1010110022220 in words is "one trillion, ten billion, one hundred ten million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 169 190 195 228 247 260 285 338 380 390 494 507 570 676 741 780 845 988 1014 1140 1235 1482 1690 2028 2470 2535 2964 3211 3380 3705 4940 5070 6422 7410 9633 10140 12844 14820 16055 19266 32110 38532 48165 64220 96330 192660 5242967 10485934 15728901 20971868 26214835 31457802 52429670 62915604 68158571 78644505 99616373 104859340 136317142 157289010 199232746 204475713 272634284 298849119 314578020 340792855 398465492 408951426 498081865 597698238 681585710 817902852 886061423 996163730 1022378565 1195396476 1295012849 1363171420 1494245595 1772122846 1992327460 2044757130 2590025698 2658184269 2988491190 3544245692 3885038547 4089514260 4430307115 5180051396 5316368538 5976982380 6475064245 7770077094 8860614230 10632737076 12950128490 13290921345 15540154188 16835167037 17721228460 19425192735 25900256980 26581842690 33670334074 38850385470 50505501111 53163685380 67340668148 77700770940 84175835185 101011002222 168351670370 202022004444 252527505555 336703340740 505055011110 1010110022220