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1010011010010 = 2351011312579901
BaseRepresentation
bin11101011001010010101…
…10001111001111011010
310120120000101220102111120
432230221112033033122
5113022000304310020
62051554225110110
7132654004635102
oct16545126171732
93516011812446
101010011010010
1135a38597a992
121438b6788336
137432233c4c2
1436c55c34202
151b41559b740
hexeb2958f3da

1010011010010 has 128 divisors (see below), whose sum is σ = 2476562128128. Its totient is φ = 263577600000.

The previous prime is 1010011009999. The next prime is 1010011010023. The reversal of 1010011010010 is 100101100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102006060 + ... + 102015960.

It is an arithmetic number, because the mean of its divisors is an integer number (19348141626).

Almost surely, 21010011010010 is an apocalyptic number.

1010011010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010011010010 is an abundant number, since it is smaller than the sum of its proper divisors (1466551118118).

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

1010011010010 is a wasteful number, since it uses less digits than its factorization.

1010011010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010011010010 its reverse (100101100101), we get a palindrome (1110112110111).

Subtracting from 1010011010010 its reverse (100101100101), we obtain a palindrome (909909909909).

The spelling of 1010011010010 in words is "one trillion, ten billion, eleven million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 101 131 202 257 262 303 393 505 514 606 655 771 786 1010 1285 1310 1515 1542 1965 2570 3030 3855 3930 7710 9901 13231 19802 25957 26462 29703 33667 39693 49505 51914 59406 66155 67334 77871 79386 99010 101001 129785 132310 148515 155742 168335 198465 202002 259570 297030 336670 389355 396930 505005 778710 1000001 1010010 1297031 2000002 2544557 2594062 3000003 3400367 3891093 5000005 5089114 6000006 6485155 6800734 7633671 7782186 10000010 10201101 12722785 12970310 15000015 15267342 17001835 19455465 20402202 25445570 30000030 34003670 38168355 38910930 51005505 76336710 102011010 131000131 257000257 262000262 333336967 393000393 514000514 655000655 666673934 771000771 786000786 1000010901 1285001285 1310001310 1542001542 1666684835 1965001965 2000021802 2570002570 3333369670 3855003855 3930003930 5000054505 7710007710 10000109010 33667033667 67334067334 101001101001 168335168335 202002202002 336670336670 505005505005 1010011010010