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2210020212120 = 233576593992377
BaseRepresentation
bin100000001010001111011…
…110000011110110011000
321211021110002221001101220
4200022033132003312120
5242202110133241440
64411134055012040
7315445234565340
oct40121736036630
97737402831356
102210020212120
1178229a881726
122b839736a020
131305337c9836
1478d73675d20
153c74aea38d0
hex2028f783d98

2210020212120 has 128 divisors (see below), whose sum is σ = 7588712102400. Its totient is φ = 504380814336.

The previous prime is 2210020212097. The next prime is 2210020212161. The reversal of 2210020212120 is 212120200122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2210020212120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442629 + ... + 2549748.

It is an arithmetic number, because the mean of its divisors is an integer number (59286813300).

Almost surely, 22210020212120 is an apocalyptic number.

2210020212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210020212120 is an abundant number, since it is smaller than the sum of its proper divisors (5378691890280).

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

2210020212120 is a wasteful number, since it uses less digits than its factorization.

2210020212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993057 (or 3993053 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2210020212120 its reverse (212120200122), we get a palindrome (2422140412242).

The spelling of 2210020212120 in words is "two trillion, two hundred ten billion, twenty million, 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 84 105 120 140 168 210 280 420 659 840 1318 1977 2636 3295 3954 4613 5272 6590 7908 9226 9885 13180 13839 15816 18452 19770 23065 26360 27678 36904 39540 46130 55356 69195 79080 92260 110712 138390 184520 276780 553560 3992377 7984754 11977131 15969508 19961885 23954262 27946639 31939016 39923770 47908524 55893278 59885655 79847540 83839917 95817048 111786556 119771310 139733195 159695080 167679834 223573112 239542620 279466390 335359668 419199585 479085240 558932780 670719336 838399170 1117865560 1676798340 2630976443 3353596680 5261952886 7892929329 10523905772 13154882215 15785858658 18416835101 21047811544 26309764430 31571717316 36833670202 39464646645 52619528860 55250505303 63143434632 73667340404 78929293290 92084175505 105239057720 110501010606 147334680808 157858586580 184168351010 221002021212 276252526515 315717173160 368336702020 442004042424 552505053030 736673404040 1105010106060 2210020212120