Search a number
-
+
1001111100912 = 243213618766911
BaseRepresentation
bin11101001000101101101…
…11110001110111110000
310112201001011011012101200
432210112313301313300
5112400233420212122
62043523141131200
7132220315645206
oct16442667616760
93481034135350
101001111100912
1135662913250a
121420320b9b00
13735345351c0
143664dc35076
151b0940915ac
hexe916df1df0

1001111100912 has 120 divisors (see below), whose sum is σ = 3066700885248. Its totient is φ = 302984409600.

The previous prime is 1001111100877. The next prime is 1001111100959. The reversal of 1001111100912 is 2190011111001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 4269264 + ... + 4497647.

Almost surely, 21001111100912 is an apocalyptic number.

1001111100912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001111100912 is an abundant number, since it is smaller than the sum of its proper divisors (2065589784336).

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

1001111100912 is a wasteful number, since it uses less digits than its factorization.

1001111100912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766999 (or 8766990 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 1001111100912 its reverse (2190011111001), we get a palindrome (3191122211913).

The spelling of 1001111100912 in words is "one trillion, one billion, one hundred eleven million, one hundred thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 61 72 78 104 117 122 144 156 183 208 234 244 312 366 468 488 549 624 732 793 936 976 1098 1464 1586 1872 2196 2379 2928 3172 4392 4758 6344 7137 8784 9516 12688 14274 19032 28548 38064 57096 114192 8766911 17533822 26300733 35067644 52601466 70135288 78902199 105202932 113969843 140270576 157804398 210405864 227939686 315608796 341909529 420811728 455879372 534781571 631217592 683819058 911758744 1025728587 1069563142 1262435184 1367638116 1604344713 1823517488 2051457174 2139126284 2735276232 3208689426 4102914348 4278252568 4813034139 5470552464 6417378852 6952160423 8205828696 8556505136 9626068278 12834757704 13904320846 16411657392 19252136556 20856481269 25669515408 27808641692 38504273112 41712962538 55617283384 62569443807 77008546224 83425925076 111234566768 125138887614 166851850152 250277775228 333703700304 500555550456 1001111100912