Search a number
-
+
1001010011010 = 235191770322679
BaseRepresentation
bin11101001000100001101…
…10001001101110000010
310112200210002221022010020
432210100312021232002
5112400032030323020
62043505130314310
7132214650463362
oct16442066115602
93480702838106
101001010011010
11356587067139
12142004288996
13735195cc5a9
143664063c9a2
151b08a273c40
hexe910d89b82

1001010011010 has 64 divisors (see below), whose sum is σ = 2415422177280. Its totient is φ = 265492253120.

The previous prime is 1001010011009. The next prime is 1001010011017. The reversal of 1001010011010 is 101100101001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001010011010.

It is not an unprimeable number, because it can be changed into a prime (1001010011017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44126851 + ... + 44149529.

It is an arithmetic number, because the mean of its divisors is an integer number (37740971520).

Almost surely, 21001010011010 is an apocalyptic number.

1001010011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001010011010 is an abundant number, since it is smaller than the sum of its proper divisors (1414412166270).

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

1001010011010 is a wasteful number, since it uses less digits than its factorization.

1001010011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30583.

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

Adding to 1001010011010 its reverse (101100101001), we get a palindrome (1102110112011).

The spelling of 1001010011010 in words is "one trillion, one billion, ten million, eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 191 382 573 955 1146 1910 2865 5730 7703 15406 22679 23109 38515 45358 46218 68037 77030 113395 115545 136074 226790 231090 340185 680370 1471273 2942546 4331689 4413819 7356365 8663378 8827638 12995067 14712730 21658445 22069095 25990134 43316890 44138190 64975335 129950670 174696337 349392674 524089011 873481685 1048178022 1746963370 2620445055 5240890110 33367000367 66734000734 100101001101 166835001835 200202002202 333670003670 500505005505 1001010011010