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1010100001110 = 235371019009901
BaseRepresentation
bin11101011001011101010…
…01101101100101010110
310120120020121100122100020
432230232221231211112
5113022141100013420
62052011124330010
7132656135226264
oct16545651554526
93516217318306
101010100001110
1135a421132252
12143920543906
13743378ca165
1436c6399b434
151b41d2c9340
hexeb2ea6d956

1010100001110 has 64 divisors (see below), whose sum is σ = 2514411370944. Its totient is φ = 259485120000.

The previous prime is 1010100001103. The next prime is 1010100001121. The reversal of 1010100001110 is 111000010101.

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

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 4392841 + ... + 4617060.

It is an arithmetic number, because the mean of its divisors is an integer number (39287677671).

Almost surely, 21010100001110 is an apocalyptic number.

1010100001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010100001110 is an abundant number, since it is smaller than the sum of its proper divisors (1504311369834).

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

1010100001110 is a wasteful number, since it uses less digits than its factorization.

1010100001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010049.

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

Adding to 1010100001110 its reverse (111000010101), we get a palindrome (1121100011211).

The spelling of 1010100001110 in words is "one trillion, ten billion, one hundred million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 101 111 185 202 222 303 370 505 555 606 1010 1110 1515 3030 3737 7474 11211 18685 22422 37370 56055 112110 9009901 18019802 27029703 45049505 54059406 90099010 135148515 270297030 333366337 666732674 910000001 1000099011 1666831685 1820000002 2000198022 2730000003 3333663370 4550000005 5000495055 5460000006 9100000010 10000990110 13650000015 27300000030 33670000037 67340000074 101010000111 168350000185 202020000222 336700000370 505050000555 1010100001110