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202000212120 = 23357510147143
BaseRepresentation
bin1011110000100000100…
…1101010000010011000
3201022101202000222200210
42330020021222002120
511302144023241440
6232444141331120
720410516321140
oct2741011520230
9638352028623
10202000212120
1178738943173
1233195566aa0
131608283bc45
149ac39d3920
1553c3d79a80
hex2f0826a098

202000212120 has 128 divisors (see below), whose sum is σ = 692722621440. Its totient is φ = 46161446400.

The previous prime is 202000212119. The next prime is 202000212133. The reversal of 202000212120 is 21212000202.

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 = 202000212096 and 202000212105.

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, 4261269 + ... + 4308411.

It is an arithmetic number, because the mean of its divisors is an integer number (5411895480).

Almost surely, 2202000212120 is an apocalyptic number.

202000212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000212120 is an abundant number, since it is smaller than the sum of its proper divisors (490722409320).

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

202000212120 is a wasteful number, since it uses less digits than its factorization.

202000212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52265 (or 52261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202000212120 its reverse (21212000202), we get a palindrome (223212212322).

The spelling of 202000212120 in words is "two hundred two billion, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 5101 10202 15303 20404 25505 30606 35707 40808 47143 51010 61212 71414 76515 94286 102020 107121 122424 141429 142828 153030 178535 188572 204040 214242 235715 282858 285656 306060 330001 357070 377144 428484 471430 535605 565716 612120 660002 707145 714140 856968 942860 990003 1071210 1131432 1320004 1414290 1428280 1650005 1885720 1980006 2142420 2640008 2828580 3300010 3960012 4284840 4950015 5657160 6600020 7920024 9900030 13200040 19800060 39600120 240476443 480952886 721429329 961905772 1202382215 1442858658 1683335101 1923811544 2404764430 2885717316 3366670202 3607146645 4809528860 5050005303 5771434632 6733340404 7214293290 8416675505 9619057720 10100010606 13466680808 14428586580 16833351010 20200021212 25250026515 28857173160 33666702020 40400042424 50500053030 67333404040 101000106060 202000212120