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1002212002011 = 311416112239929
BaseRepresentation
bin11101001010110000111…
…11011000100011011011
310112210212212200202210110
432211120133120203123
5112410012233031021
62044224305215403
7132256514313333
oct16453037304333
93483785622713
101002212002011
11357043602830
1214229a931563
137367b64007c
143671612a0c3
151b10aa54476
hexe9587d88db

1002212002011 has 64 divisors (see below), whose sum is σ = 1519192765440. Its totient is φ = 582336768000.

The previous prime is 1002212001997. The next prime is 1002212002013. The reversal of 1002212002011 is 1102002122001.

It is not a de Polignac number, because 1002212002011 - 27 = 1002212001883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002212002013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100932895 + ... + 100942823.

It is an arithmetic number, because the mean of its divisors is an integer number (23737386960).

Almost surely, 21002212002011 is an apocalyptic number.

1002212002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002212002011 is a deficient number, since it is larger than the sum of its proper divisors (516980763429).

1002212002011 is a wasteful number, since it uses less digits than its factorization.

1002212002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11268.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002212002011 its reverse (1102002122001), we get a palindrome (2104214124012).

The spelling of 1002212002011 in words is "one trillion, two billion, two hundred twelve million, two thousand, eleven".

Divisors: 1 3 11 33 41 61 123 183 451 671 1223 1353 2013 2501 3669 7503 9929 13453 27511 29787 40359 50143 74603 82533 109219 150429 223809 327657 407089 551573 605669 820633 1221267 1654719 1817007 2461899 3058723 4477979 6662359 9176169 12143167 13433937 19987077 24832429 33645953 36429501 74497287 100937859 133574837 273156719 400724511 497869847 740733187 819470157 1493609541 2222199561 5476568317 8148065057 16429704951 24444195171 30370060667 91110182001 334070667337 1002212002011