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20021002020020 = 225431571409105239
BaseRepresentation
bin1001000110101100000001…
…01101101010010010110100
32121212222201001110122222002
410203112000231222102310
510111011003004120040
6110325304340154432
74134320044161641
oct443260055522264
977788631418862
1020021002020020
11641994a76a581
1222b4255098a18
13b22c84455111
144d3043658dc8
1524abd3a81a15
hex123580b6a4b4

20021002020020 has 96 divisors (see below), whose sum is σ = 43327038585600. Its totient is φ = 7766746251264.

The previous prime is 20021002020017. The next prime is 20021002020023. The reversal of 20021002020020 is 2002020012002.

It is an interprime number because it is at equal distance from previous prime (20021002020017) and next prime (20021002020023).

It is a junction number, because it is equal to n+sod(n) for n = 20021002019983 and 20021002020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021002020023) 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, 190190561 + ... + 190295799.

It is an arithmetic number, because the mean of its divisors is an integer number (451323318600).

Almost surely, 220021002020020 is an apocalyptic number.

20021002020020 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 20021002020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663519292800).

20021002020020 is an abundant number, since it is smaller than the sum of its proper divisors (23306036565580).

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

20021002020020 is a wasteful number, since it uses less digits than its factorization.

20021002020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106857 (or 106855 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20021002020020 its reverse (2002020012002), we get a palindrome (22023022032022).

The spelling of 20021002020020 in words is "twenty trillion, twenty-one billion, two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 157 172 215 314 430 628 785 860 1409 1570 2818 3140 5636 6751 7045 13502 14090 27004 28180 33755 60587 67510 105239 121174 135020 210478 221213 242348 302935 420956 442426 526195 605870 884852 1052390 1106065 1211740 2104780 2212130 4424260 4525277 9050554 9512159 16522523 18101108 19024318 22626385 33045046 38048636 45252770 47560795 66090092 82612615 90505540 95121590 148281751 165225230 190243180 296563502 330450460 593127004 710468489 741408755 1420936978 1482817510 2841873956 2965635020 3552342445 6376115293 7104684890 12752230586 14209369780 23280234907 25504461172 31880576465 46560469814 63761152930 93120939628 116401174535 127522305860 232802349070 465604698140 1001050101001 2002100202002 4004200404004 5005250505005 10010501010010 20021002020020