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2202142323132 = 22321813794991787
BaseRepresentation
bin100000000010111001111…
…010010011000110111100
321210112010002021211022200
4200002321322103012330
5242034441413320012
64403352240311500
7315046065621063
oct40027172230674
97715102254280
102202142323132
11779a17a28074
122b6959012590
1312c87966c46b
14788272b71da
153c4395793dc
hex200b9e931bc

2202142323132 has 144 divisors (see below), whose sum is σ = 5626442640000. Its totient is φ = 726200173440.

The previous prime is 2202142323103. The next prime is 2202142323163. The reversal of 2202142323132 is 2313232412022.

2202142323132 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 1 + 423 + 231 + 3 + 2 = 666.

It is a super-2 number, since 2×22021423231322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2202142323096 and 2202142323105.

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 47 ways as a sum of consecutive naturals, for example, 1232311543 + ... + 1232313329.

Almost surely, 22202142323132 is an apocalyptic number.

It is an amenable number.

2202142323132 is an abundant number, since it is smaller than the sum of its proper divisors (3424300316868).

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

2202142323132 is a wasteful number, since it uses less digits than its factorization.

2202142323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2202142323132 its reverse (2313232412022), we get a palindrome (4515374735154).

The spelling of 2202142323132 in words is "two trillion, two hundred two billion, one hundred forty-two million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 379 499 543 724 758 998 1086 1137 1497 1516 1629 1787 1996 2172 2274 2994 3258 3411 3574 4491 4548 5361 5988 6516 6822 7148 8982 10722 13644 16083 17964 21444 32166 64332 68599 90319 137198 180638 189121 205797 270957 274396 323447 361276 378242 411594 541914 567363 617391 646894 677273 756484 812871 823188 891713 970341 1083828 1134726 1234782 1293788 1354546 1625742 1702089 1783426 1940682 2031819 2269452 2469564 2675139 2709092 2911023 3251484 3404178 3566852 3881364 4063638 5350278 5822046 6095457 6808356 8025417 8127276 10700556 11644092 12190914 16050834 24381828 32101668 34230901 68461802 102692703 122586413 136923604 161400053 205385406 245172826 308078109 322800106 337959227 367759239 410770812 484200159 490345652 616156218 645600212 675918454 735518478 968400318 1013877681 1103277717 1232312436 1351836908 1452600477 1471036956 1936800636 2027755362 2206555434 2905200954 3041633043 4055510724 4413110868 5810401908 6083266086 12166532172 61170620087 122341240174 183511860261 244682480348 367023720522 550535580783 734047441044 1101071161566 2202142323132