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20402211020 = 225171921131471
BaseRepresentation
bin10011000000000100…
…010000100011001100
31221122212100201001012
4103000010100203030
5313240431223040
613212254104352
71321404634532
oct230004204314
957585321035
1020402211020
11871a575124
123b547ab0b8
131c01b11719
14db78a4152
157e6219865
hex4c01108cc

20402211020 has 144 divisors (see below), whose sum is σ = 48334745088. Its totient is φ = 7207280640.

The previous prime is 20402211017. The next prime is 20402211043. The reversal of 20402211020 is 2011220402.

It is a junction number, because it is equal to n+sod(n) for n = 20402210986 and 20402211004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13868885 + ... + 13870355.

It is an arithmetic number, because the mean of its divisors is an integer number (335657952).

Almost surely, 220402211020 is an apocalyptic number.

20402211020 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 20402211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167372544).

20402211020 is an abundant number, since it is smaller than the sum of its proper divisors (27932534068).

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

20402211020 is a wasteful number, since it uses less digits than its factorization.

20402211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20402211020 its reverse (2011220402), we get a palindrome (22413431422).

The spelling of 20402211020 in words is "twenty billion, four hundred two million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 113 170 190 226 323 340 361 380 452 565 646 722 1130 1292 1444 1471 1615 1805 1921 2147 2260 2942 3230 3610 3842 4294 5884 6137 6460 7220 7355 7684 8588 9605 10735 12274 14710 19210 21470 24548 25007 27949 29420 30685 36499 38420 40793 42940 50014 55898 61370 72998 81586 100028 111796 122740 125035 139745 145996 163172 166223 182495 203965 250070 279490 332446 364990 407930 475133 500140 531031 558980 664892 693481 729980 815860 831115 950266 1062062 1386962 1662230 1900532 2124124 2375665 2655155 2773924 2825791 3158237 3324460 3467405 4751330 5310310 5651582 6316474 6934810 9027527 9502660 10620620 11303164 12632948 13869620 14128955 15791185 18055054 28257910 31582370 36110108 45137635 53690029 56515820 60006503 63164740 90275270 107380058 120013006 180550540 214760116 240026012 268450145 300032515 536900290 600065030 1020110551 1073800580 1200130060 2040221102 4080442204 5100552755 10201105510 20402211020