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1012244220 = 22325131014283
BaseRepresentation
bin111100010101011…
…001111011111100
32121112201100000200
4330111121323330
54033113303340
6244235523500
734040635221
oct7425317374
92545640020
101012244220
1147a427079
12242bb9590
131319363a0
1498617948
155dcee330
hex3c559efc

1012244220 has 144 divisors (see below), whose sum is σ = 3340183392. Its totient is φ = 246643200.

The previous prime is 1012244213. The next prime is 1012244221. The reversal of 1012244220 is 224422101.

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 = 1012244193 and 1012244202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012244221) 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 47 ways as a sum of consecutive naturals, for example, 234199 + ... + 238481.

It is an arithmetic number, because the mean of its divisors is an integer number (23195718).

Almost surely, 21012244220 is an apocalyptic number.

1012244220 is a gapful number since it is divisible by the number (10) 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 1012244220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670091696).

1012244220 is an abundant number, since it is smaller than the sum of its proper divisors (2327939172).

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

1012244220 is a wasteful number, since it uses less digits than its factorization.

1012244220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1012244220 is about 31815.7857045838. The cubic root of 1012244220 is about 1004.0648611822.

Adding to 1012244220 its reverse (224422101), we get a palindrome (1236666321).

The spelling of 1012244220 in words is "one billion, twelve million, two hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 101 117 130 156 180 195 202 234 260 303 390 404 468 505 585 606 780 909 1010 1170 1212 1313 1515 1818 2020 2340 2626 3030 3636 3939 4283 4545 5252 6060 6565 7878 8566 9090 11817 12849 13130 15756 17132 18180 19695 21415 23634 25698 26260 38547 39390 42830 47268 51396 55679 59085 64245 77094 78780 85660 111358 118170 128490 154188 167037 192735 222716 236340 256980 278395 334074 385470 432583 501111 556790 668148 770940 835185 865166 1002222 1113580 1297749 1670370 1730332 2004444 2162915 2505555 2595498 3340740 3893247 4325830 5011110 5190996 5623579 6488745 7786494 8651660 10022220 11247158 12977490 15572988 16870737 19466235 22494316 25954980 28117895 33741474 38932470 50612211 56235790 67482948 77864940 84353685 101224422 112471580 168707370 202448844 253061055 337414740 506122110 1012244220