Search a number
-
+
202100121020 = 22575979309713
BaseRepresentation
bin1011110000111000011…
…0110001110110111100
3201022122201000212221102
42330032012301312330
511302400112333040
6232502110552232
720413141453550
oct2741606616674
9638581025842
10202100121020
117878a282206
1233202b08678
131609a450135
149ad2d9d860
1553cca12515
hex2f0e1b1dbc

202100121020 has 96 divisors (see below), whose sum is σ = 499506739200. Its totient is φ = 67254580224.

The previous prime is 202100120977. The next prime is 202100121031. The reversal of 202100121020 is 20121001202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202100120992 and 202100121010.

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, 497684 + ... + 807396.

It is an arithmetic number, because the mean of its divisors is an integer number (5203195200).

Almost surely, 2202100121020 is an apocalyptic number.

202100121020 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 202100121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249753369600).

202100121020 is an abundant number, since it is smaller than the sum of its proper divisors (297406618180).

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

202100121020 is a wasteful number, since it uses less digits than its factorization.

202100121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309867 (or 309865 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202100121020 its reverse (20121001202), we get a palindrome (222221122222).

The spelling of 202100121020 in words is "two hundred two billion, one hundred million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 79 118 140 158 236 295 316 395 413 553 590 790 826 1106 1180 1580 1652 2065 2212 2765 4130 4661 5530 8260 9322 11060 18644 23305 32627 46610 65254 93220 130508 163135 309713 326270 619426 652540 1238852 1548565 2167991 3097130 4335982 6194260 8671964 10839955 18273067 21679910 24467327 36546134 43359820 48934654 73092268 91365335 97869308 122336635 127911469 171271289 182730670 244673270 255822938 342542578 365461340 489346540 511645876 639557345 685085156 856356445 1279114690 1443572293 1712712890 2558229380 2887144586 3425425780 5774289172 7217861465 10105006051 14435722930 20210012102 28871445860 40420024204 50525030255 101050060510 202100121020