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20021002320 = 2435117583713
BaseRepresentation
bin10010101001010110…
…000100000001010000
31220200022001022000110
4102221112010001100
5312000334033240
613110355321320
71306065466104
oct225126040120
956608038013
1020021002320
118544374410
123a68bb0240
131b70b4c347
14d7cdd1904
157c2a18c80
hex4a9584050

20021002320 has 80 divisors (see below), whose sum is σ = 67707398592. Its totient is φ = 4853575680.

The previous prime is 20021002291. The next prime is 20021002321. The reversal of 20021002320 is 2320012002.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 20021002296 and 20021002305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021002321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3789217 + ... + 3794496.

Almost surely, 220021002320 is an apocalyptic number.

20021002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021002320 is an abundant number, since it is smaller than the sum of its proper divisors (47686396272).

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

20021002320 is a wasteful number, since it uses less digits than its factorization.

20021002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583740 (or 7583734 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20021002320 its reverse (2320012002), we get a palindrome (22341014322).

The spelling of 20021002320 in words is "twenty billion, twenty-one million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7583713 15167426 22751139 30334852 37918565 45502278 60669704 75837130 83420843 91004556 113755695 121339408 151674260 166841686 182009112 227511390 250262529 303348520 333683372 364018224 417104215 455022780 500525058 606697040 667366744 834208430 910045560 1001050116 1251312645 1334733488 1668416860 1820091120 2002100232 2502625290 3336833720 4004200464 5005250580 6673667440 10010501160 20021002320