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2133121020210 = 2345113139167663
BaseRepresentation
bin11111000010100111111…
…010111011000100110010
321112220221212112100110000
4133002213322323010302
5234422112440121320
64311535310250430
7310053504335505
oct37024772730462
97486855470400
102133121020210
11752719229664
122a54b5ab6a16
131261c9c1380b
147535a66513c
153a749d3cc90
hex1f0a7ebb132

2133121020210 has 160 divisors (see below), whose sum is σ = 5828148184320. Its totient is φ = 559738916352.

The previous prime is 2133121020203. The next prime is 2133121020227. The reversal of 2133121020210 is 120201213312.

2133121020210 is a `hidden beast` number, since 21 + 331 + 2 + 102 + 0 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12638839 + ... + 12806501.

It is an arithmetic number, because the mean of its divisors is an integer number (36425926152).

Almost surely, 22133121020210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133121020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914074092160).

2133121020210 is an abundant number, since it is smaller than the sum of its proper divisors (3695027164110).

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

2133121020210 is a wasteful number, since it uses less digits than its factorization.

2133121020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167934 (or 167925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2133121020210 its reverse (120201213312), we get a palindrome (2253322233522).

The spelling of 2133121020210 in words is "two trillion, one hundred thirty-three billion, one hundred twenty-one million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 139 162 226 270 278 339 405 417 565 678 695 810 834 1017 1130 1251 1390 1695 2034 2085 2502 3051 3390 3753 4170 5085 6102 6255 7506 9153 10170 11259 12510 15255 15707 18306 18765 22518 30510 31414 37530 45765 47121 56295 78535 91530 94242 112590 141363 157070 167663 235605 282726 335326 424089 471210 502989 706815 838315 848178 1005978 1272267 1413630 1508967 1676630 2120445 2514945 2544534 3017934 4240890 4526901 5029890 6361335 7544835 9053802 12722670 13580703 15089670 18945919 22634505 23305157 27161406 37891838 45269010 46610314 56837757 67903515 69915471 94729595 113675514 116525785 135807030 139830942 170513271 189459190 209746413 233051570 284188785 341026542 349577355 419492826 511539813 568377570 629239239 699154710 852566355 1023079626 1048732065 1258478478 1534619439 1705132710 1887717717 2097464130 2557699065 2633482741 3069238878 3146196195 3775435434 5115398130 5266965482 6292392390 7673097195 7900448223 9438588585 13167413705 15346194390 15800896446 18877177170 23701344669 26334827410 39502241115 47402689338 71104034007 79004482230 118506723345 142208068014 213312102021 237013446690 355520170035 426624204042 711040340070 1066560510105 2133121020210