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1220231302020 = 22325431071473389
BaseRepresentation
bin10001110000011011011…
…101000000101110000100
311022122122000110201221200
4101300123131000232010
5124443013203131040
62332322211342500
7154105316634603
oct21603335005604
94278560421850
101220231302020
11430551838805
121785a4bb1a30
138b0b4b89433
14430b941da3a
1521b1ade5630
hex11c1b740b84

1220231302020 has 144 divisors (see below), whose sum is σ = 3822845906880. Its totient is φ = 314857122048.

The previous prime is 1220231302009. The next prime is 1220231302039. The reversal of 1220231302020 is 202031320221.

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 = 1220231301984 and 1220231302002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91486 + ... + 1564874.

It is an arithmetic number, because the mean of its divisors is an integer number (26547541020).

Almost surely, 21220231302020 is an apocalyptic number.

1220231302020 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 1220231302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911422953440).

1220231302020 is an abundant number, since it is smaller than the sum of its proper divisors (2602614604860).

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

1220231302020 is a wasteful number, since it uses less digits than its factorization.

1220231302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473554 (or 1473549 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1220231302020 its reverse (202031320221), we get a palindrome (1422262622241).

It can be divided in two parts, 1220231 and 302020, that added together give a palindrome (1522251).

The spelling of 1220231302020 in words is "one trillion, two hundred twenty billion, two hundred thirty-one million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 107 129 172 180 214 215 258 321 387 428 430 516 535 642 645 774 860 963 1070 1284 1290 1548 1605 1926 1935 2140 2580 3210 3852 3870 4601 4815 6420 7740 9202 9630 13803 18404 19260 23005 27606 41409 46010 55212 69015 82818 92020 138030 165636 207045 276060 414090 828180 1473389 2946778 4420167 5893556 7366945 8840334 13260501 14733890 17680668 22100835 26521002 29467780 44201670 53042004 63355727 66302505 88403340 126711454 132605010 157652623 190067181 253422908 265210020 315305246 316778635 380134362 472957869 570201543 630610492 633557270 760268724 788263115 945915738 950335905 1140403086 1267114540 1418873607 1576526230 1891831476 1900671810 2280806172 2364789345 2837747214 2851007715 3153052460 3801343620 4729578690 5675494428 5702015430 6779062789 7094368035 9459157380 11404030860 13558125578 14188736070 20337188367 27116251156 28377472140 33895313945 40674376734 61011565101 67790627890 81348753468 101685941835 122023130202 135581255780 203371883670 244046260404 305057825505 406743767340 610115651010 1220231302020