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1002011102010 = 2325171314999307
BaseRepresentation
bin11101001010011001000…
…01000000101100111010
310112210100212122222210200
432211030201000230322
5112404104320231020
62044152331223030
7132251524560132
oct16451441005472
93483325588720
101002011102010
11356a50165676
121422435a7a76
1373648b2c229
14366d7591ac2
151b0e80bd590
hexe94c840b3a

1002011102010 has 96 divisors (see below), whose sum is σ = 2779535259072. Its totient is φ = 249565355520.

The previous prime is 1002011101937. The next prime is 1002011102021. The reversal of 1002011102010 is 102011102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002011101983 and 1002011102001.

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, 2299224 + ... + 2700083.

It is an arithmetic number, because the mean of its divisors is an integer number (28953492282).

Almost surely, 21002011102010 is an apocalyptic number.

1002011102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002011102010 is an abundant number, since it is smaller than the sum of its proper divisors (1777524157062).

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

1002011102010 is a wasteful number, since it uses less digits than its factorization.

1002011102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999468 (or 4999465 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002011102010 its reverse (102011102001), we get a palindrome (1104022204011).

Subtracting from 1002011102010 its reverse (102011102001), we obtain a palindrome (900000000009).

The spelling of 1002011102010 in words is "one trillion, two billion, eleven million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 131 153 170 255 262 306 393 510 655 765 786 1179 1310 1530 1965 2227 2358 3930 4454 5895 6681 11135 11790 13362 20043 22270 33405 40086 66810 100215 200430 4999307 9998614 14997921 24996535 29995842 44993763 49993070 74989605 84988219 89987526 149979210 169976438 224968815 254964657 424941095 449937630 509929314 654909217 764893971 849882190 1274823285 1309818434 1529787942 1964727651 2549646570 3274546085 3824469855 3929455302 5894182953 6549092170 7648939710 9823638255 11133456689 11788365906 19647276510 22266913378 29470914765 33400370067 55667283445 58941829530 66800740134 100201110201 111334566890 167001850335 200402220402 334003700670 501005551005 1002011102010