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2011000410342 = 2327112131903477
BaseRepresentation
bin11101010000111000111…
…101110001000011100110
321010020202002001121002100
4131100320331301003212
5230422012101112332
64135501341552530
7265201315310160
oct35207075610346
97106662047070
102011000410342
11705951339a00
122858b3b75746
131178375a3711
146d493829930
153749daed67c
hex1d438f710e6

2011000410342 has 72 divisors (see below), whose sum is σ = 5473466723088. Its totient is φ = 522337764960.

The previous prime is 2011000410337. The next prime is 2011000410347. The reversal of 2011000410342 is 2430140001102.

2011000410342 is a `hidden beast` number, since 201 + 10 + 0 + 0 + 410 + 3 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (2011000410337) and next prime (2011000410347).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000410347) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65936493 + ... + 65966984.

It is an arithmetic number, because the mean of its divisors is an integer number (76020371154).

Almost surely, 22011000410342 is an apocalyptic number.

2011000410342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2011000410342 is an abundant number, since it is smaller than the sum of its proper divisors (3462466312746).

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

2011000410342 is a wasteful number, since it uses less digits than its factorization.

2011000410342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131903514 (or 131903500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2011000410342 its reverse (2430140001102), we get a palindrome (4441140411444).

The spelling of 2011000410342 in words is "two trillion, eleven billion, four hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15246 131903477 263806954 395710431 791420862 923324339 1187131293 1450938247 1846648678 2374262586 2769973017 2901876494 4352814741 5539946034 8309919051 8705629482 10156567729 13058444223 15960320717 16619838102 20313135458 26116888446 30469703187 31920641434 47880962151 60939406374 91409109561 95761924302 111722245019 143642886453 182818219122 223444490038 287285772906 335166735057 670333470114 1005500205171 2011000410342