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2202000121332 = 22321119697141983
BaseRepresentation
bin100000000010110001011…
…011110101110111110100
321210111202011201020010100
4200002301123311313310
5242034144012340312
64403330200354100
7315042421130424
oct40026133656764
97714664636110
102202000121332
11779954731820
122b6919475930
1312c856070b9b
147881245c484
153c42bd3a5dc
hex200b16f5df4

2202000121332 has 144 divisors (see below), whose sum is σ = 6392839864320. Its totient is φ = 632047406400.

The previous prime is 2202000121327. The next prime is 2202000121403. The reversal of 2202000121332 is 2331210002022.

2202000121332 is a `hidden beast` number, since 220 + 200 + 0 + 1 + 213 + 32 = 666.

2202000121332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22020001213322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52428813 + ... + 52470795.

It is an arithmetic number, because the mean of its divisors is an integer number (44394721280).

Almost surely, 22202000121332 is an apocalyptic number.

2202000121332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202000121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196419932160).

2202000121332 is an abundant number, since it is smaller than the sum of its proper divisors (4190839742988).

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

2202000121332 is a wasteful number, since it uses less digits than its factorization.

2202000121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48994 (or 48989 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2202000121332 its reverse (2331210002022), we get a palindrome (4533210123354).

The spelling of 2202000121332 in words is "two trillion, two hundred two billion, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 6971 7524 13942 20913 27884 41826 41983 62739 76681 83652 83966 125478 125949 132449 153362 167932 230043 250956 251898 264898 306724 377847 397347 460086 461813 503796 529796 690129 755694 794694 797677 920172 923626 1192041 1380258 1385439 1456939 1511388 1589388 1595354 1847252 2384082 2393031 2760516 2770878 2913878 3190708 4156317 4370817 4768164 4786062 5541756 5827756 7179093 8312634 8741634 8774447 9572124 13112451 14358186 16625268 17483268 17548894 26224902 26323341 28716372 35097788 52449804 52646682 78970023 105293364 157940046 292663493 315880092 585326986 877990479 1170653972 1755980958 2633971437 3219298423 3511961916 5267942874 5560606367 6438596846 9657895269 10535885748 11121212734 12877193692 16681819101 19315790538 22242425468 28973685807 33363638202 38631581076 50045457303 57947371614 61166670037 66727276404 100090914606 115894743228 122333340074 183500010111 200181829212 244666680148 367000020222 550500030333 734000040444 1101000060666 2202000121332