Search a number
-
+
2131220333310 = 2353116397114479
BaseRepresentation
bin11111000000110110101…
…000011000001011111110
321112202001102001110011220
4133000312220120023332
5234404214401131220
64311022532054210
7306655424635335
oct37006650301376
97482042043156
102131220333310
11751933354442
122a5065464366
13125c861cc403
147521a05cd1c
153a688046540
hex1f036a182fe

2131220333310 has 128 divisors (see below), whose sum is σ = 5318156943360. Its totient is φ = 546017500800.

The previous prime is 2131220333293. The next prime is 2131220333317. The reversal of 2131220333310 is 133330221312.

It is a super-2 number, since 2×21312203333102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131220333317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147186651 + ... + 147201129.

It is an arithmetic number, because the mean of its divisors is an integer number (41548101120).

Almost surely, 22131220333310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131220333310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659078471680).

2131220333310 is an abundant number, since it is smaller than the sum of its proper divisors (3186936610050).

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

2131220333310 is a wasteful number, since it uses less digits than its factorization.

2131220333310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15654.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2131220333310 its reverse (133330221312), we get a palindrome (2264550554622).

The spelling of 2131220333310 in words is "two trillion, one hundred thirty-one billion, two hundred twenty million, three hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 163 186 310 326 465 489 815 930 971 978 1630 1942 2445 2913 4855 4890 5053 5826 9710 10106 14479 14565 15159 25265 28958 29130 30101 30318 43437 50530 60202 72395 75795 86874 90303 144790 150505 151590 158273 180606 217185 301010 316546 434370 448849 451515 474819 791365 897698 903030 949638 1346547 1582730 2244245 2360077 2374095 2693094 4488490 4720154 4748190 4906463 6732735 7080231 9812926 11800385 13465470 14059109 14160462 14719389 23600770 24532315 28118218 29438778 35401155 42177327 49064630 70295545 70802310 73162387 73596945 84354654 140591090 146324774 147193890 210886635 219487161 365811935 421773270 435832379 438974322 731623870 871664758 1097435805 1307497137 2179161895 2194871610 2291634767 2614994274 4358323790 4583269534 6537485685 6874904301 11458173835 13074971370 13749808602 22916347670 34374521505 68749043010 71040677777 142081355554 213122033331 355203388885 426244066662 710406777770 1065610166655 2131220333310