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2002132123002 = 2321161181915839
BaseRepresentation
bin11101001000101000010…
…111111011110101111010
321002101212000210220212200
4131020220113323311322
5230300331310414002
64131433343451030
7264435462152064
oct35105027736572
97071760726780
102002132123002
1170211042a410
12284039bb6a76
13116a531bb60b
146cc91adc734
153713028cb1c
hex1d2285fbd7a

2002132123002 has 96 divisors (see below), whose sum is σ = 4836470446080. Its totient is φ = 593463024000.

The previous prime is 2002132123001. The next prime is 2002132123003. The reversal of 2002132123002 is 2003212312002.

2002132123002 is a `hidden beast` number, since 20 + 0 + 21 + 321 + 2 + 300 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2002132123001) and next prime (2002132123003).

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

It is not an unprimeable number, because it can be changed into a prime (2002132123001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728199 + ... + 2644037.

It is an arithmetic number, because the mean of its divisors is an integer number (50379900480).

Almost surely, 22002132123002 is an apocalyptic number.

2002132123002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002132123002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418235223040).

2002132123002 is an abundant number, since it is smaller than the sum of its proper divisors (2834338323078).

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

2002132123002 is a wasteful number, since it uses less digits than its factorization.

2002132123002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916100 (or 916097 counting only the distinct ones).

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

Adding to 2002132123002 its reverse (2003212312002), we get a palindrome (4005344435004).

The spelling of 2002132123002 in words is "two trillion, two billion, one hundred thirty-two million, one hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 181 183 198 362 366 543 549 671 1086 1098 1342 1629 1991 2013 3258 3982 4026 5973 6039 11041 11946 12078 17919 22082 33123 35838 66246 99369 121451 198738 242902 364353 728706 915839 1093059 1831678 2186118 2747517 5495034 8242551 10074229 16485102 20148458 30222687 55866179 60445374 90668061 111732358 165766859 167598537 181336122 331533718 335197074 497300577 502795611 614527969 994601154 1005591222 1229055938 1491901731 1823435449 1843583907 2983803462 3646870898 3687167814 5470306347 5530751721 10111778399 10940612694 11061503442 16410919041 20223556798 30335335197 32821838082 60670670394 91006005591 111229562389 182012011182 222459124778 333688687167 667377374334 1001066061501 2002132123002