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20021320020 = 22351341961261
BaseRepresentation
bin10010101001010111…
…010001100101010100
31220200022122102211010
4102221113101211110
5312000424220040
613110410212220
71306101261252
oct225127214524
956608572733
1020021320020
118544571079
123a69124070
131b70c30b30
14d7d0755d2
157c2a7ce80
hex4a95d1954

20021320020 has 96 divisors (see below), whose sum is σ = 60517054080. Its totient is φ = 4916482560.

The previous prime is 20021319943. The next prime is 20021320037. The reversal of 20021320020 is 2002312002.

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 = 20021319978 and 20021320005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296190 + ... + 357450.

It is an arithmetic number, because the mean of its divisors is an integer number (630385980).

Almost surely, 220021320020 is an apocalyptic number.

20021320020 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 20021320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30258527040).

20021320020 is an abundant number, since it is smaller than the sum of its proper divisors (40495734060).

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

20021320020 is a wasteful number, since it uses less digits than its factorization.

20021320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61705 (or 61703 counting only the distinct ones).

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

Adding to 20021320020 its reverse (2002312002), we get a palindrome (22023632022).

The spelling of 20021320020 in words is "twenty billion, twenty-one million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 419 780 838 1257 1676 2095 2514 4190 5028 5447 6285 8380 10894 12570 16341 21788 25140 27235 32682 54470 61261 65364 81705 108940 122522 163410 183783 245044 306305 326820 367566 612610 735132 796393 918915 1225220 1592786 1837830 2389179 3185572 3675660 3981965 4778358 7963930 9556716 11945895 15927860 23891790 25668359 47783580 51336718 77005077 102673436 128341795 154010154 256683590 308020308 333688667 385025385 513367180 667377334 770050770 1001066001 1334754668 1540101540 1668443335 2002132002 3336886670 4004264004 5005330005 6673773340 10010660010 20021320020