Search a number
-
+
2201020311996 = 22321153831263499
BaseRepresentation
bin100000000001110111000…
…010001010100110111100
321210102012220000202101200
4200001313002022212330
5242030142144440441
64403045035535500
7315006222651432
oct40016702124674
97712186022350
102201020311996
117794a1649540
122b66a52ba590
1312c72b082b4c
147875c288d52
153c3c0ce67b6
hex2007708a9bc

2201020311996 has 144 divisors (see below), whose sum is σ = 6258509712000. Its totient is φ = 646506656640.

The previous prime is 2201020311989. The next prime is 2201020312009. The reversal of 2201020311996 is 6991130201022.

2201020311996 is a `hidden beast` number, since 220 + 10 + 20 + 311 + 9 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2201020311996.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110255 + ... + 2373753.

It is an arithmetic number, because the mean of its divisors is an integer number (43461873000).

Almost surely, 22201020311996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201020311996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129254856000).

2201020311996 is an abundant number, since it is smaller than the sum of its proper divisors (4057489400004).

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

2201020311996 is a wasteful number, since it uses less digits than its factorization.

2201020311996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263656 (or 1263651 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 2201020311996 in words is "two trillion, two hundred one billion, twenty million, three hundred eleven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 83 99 106 132 159 166 198 212 249 318 332 396 477 498 583 636 747 913 954 996 1166 1494 1749 1826 1908 2332 2739 2988 3498 3652 4399 5247 5478 6996 8217 8798 10494 10956 13197 16434 17596 20988 26394 32868 39591 48389 52788 79182 96778 145167 158364 193556 290334 435501 580668 871002 1263499 1742004 2526998 3790497 5053996 7580994 11371491 13898489 15161988 22742982 27796978 41695467 45485964 55593956 66965447 83390934 104870417 125086401 133930894 166781868 200896341 209740834 250172802 267861788 314611251 401792682 419481668 500345604 602689023 629222502 736619917 803585364 943833753 1153574587 1205378046 1258445004 1473239834 1887667506 2209859751 2307149174 2410756092 2946479668 3460723761 3775335012 4419719502 4614298348 5558132101 6629579253 6921447522 8839439004 10382171283 11116264202 13259158506 13842895044 16674396303 20764342566 22232528404 26518317012 33348792606 41528685132 50023188909 61139453111 66697585212 100046377818 122278906222 183418359333 200092755636 244557812444 366836718666 550255077999 733673437332 1100510155998 2201020311996