Search a number
-
+
11000574229242 = 23132358979103967
BaseRepresentation
bin1010000000010100010101…
…0100011011101011111010
31102221122101221011112202010
42200011011110123223322
52420213134000313432
635221332151150350
72213523325100133
oct240050524335372
942848357145663
1011000574229242
113561354405934
121297b9a0753b6
1361a471398980
142a0605930c8a
1514123bcd63cc
hexa014551bafa

11000574229242 has 64 divisors (see below), whose sum is σ = 24724355604480. Its totient is φ = 3237541162944.

The previous prime is 11000574229241. The next prime is 11000574229243. The reversal of 11000574229242 is 24292247500011.

It is an interprime number because it is at equal distance from previous prime (11000574229241) and next prime (11000574229243).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11000574229242.

It is not an unprimeable number, because it can be changed into a prime (11000574229241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105756343 + ... + 105860309.

It is an arithmetic number, because the mean of its divisors is an integer number (386318056320).

Almost surely, 211000574229242 is an apocalyptic number.

11000574229242 is an abundant number, since it is smaller than the sum of its proper divisors (13723781375238).

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

11000574229242 is a wasteful number, since it uses less digits than its factorization.

11000574229242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162987.

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 11000574229242 in words is "eleven trillion, five hundred seventy-four million, two hundred twenty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1794 58979 103967 117958 176937 207934 311901 353874 623802 766727 1351571 1356517 1533454 2300181 2391241 2703142 2713034 4054713 4069551 4600362 4782482 7173723 8109426 8139102 14347446 17634721 31086133 35269442 52904163 62172266 93258399 105808326 186516798 6131869693 12263739386 18395609079 36791218158 79714306009 141033002939 159428612018 239142918027 282066005878 423099008817 478285836054 846198017634 1833429038207 3666858076414 5500287114621 11000574229242