Search a number
-
+
901901801901 = 36146191911633
BaseRepresentation
bin11010001111111011000…
…10010101100110101101
310012012222002100121222210
431013331202111212231
5104234043330130101
61530154501401033
7122105652553332
oct15077542254655
93165862317883
10901901801901
11318549066801
12126965109179
13670837a0b89
143191bbdc989
15186d94937d6
hexd1fd8959ad

901901801901 has 32 divisors (see below), whose sum is σ = 1226339009280. Its totient is φ = 589435315200.

The previous prime is 901901801893. The next prime is 901901801923. The reversal of 901901801901 is 109108109109.

It is not a de Polignac number, because 901901801901 - 23 = 901901801893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 901901801901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901901801501) by changing a digit.

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, 77523781 + ... + 77535413.

It is an arithmetic number, because the mean of its divisors is an integer number (38323094040).

Almost surely, 2901901801901 is an apocalyptic number.

It is an amenable number.

901901801901 is a deficient number, since it is larger than the sum of its proper divisors (324437207379).

901901801901 is a wasteful number, since it uses less digits than its factorization.

901901801901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13077.

The product of its (nonzero) digits is 5832, while the sum is 39.

The spelling of 901901801901 in words is "nine hundred one billion, nine hundred one million, eight hundred one thousand, nine hundred one".

Divisors: 1 3 61 183 461 919 1383 2757 11633 28121 34899 56059 84363 168177 423659 709613 1270977 2128839 5362813 10690727 16088439 25843199 32072181 77529597 327131593 652134347 981394779 1956403041 4928425147 14785275441 300633933967 901901801901