Search a number
-
+
1101087047412 = 223411674611149
BaseRepresentation
bin10000000001011101111…
…001101111111011110100
310220021002122112111110000
4100001131321233323310
5121020011241004122
62201455444431300
7142356651322662
oct20013571577364
93807078474400
101101087047412
11394a71a29890
121594939a8530
137caa80724b1
143b4159d3c32
151d9961290ac
hex1005de6fef4

1101087047412 has 120 divisors (see below), whose sum is σ = 3187005544800. Its totient is φ = 328682629440.

The previous prime is 1101087047407. The next prime is 1101087047429. The reversal of 1101087047412 is 2147407801011.

1101087047412 is a `hidden beast` number, since 1 + 1 + 0 + 108 + 70 + 474 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 2066787 + ... + 2544362.

It is an arithmetic number, because the mean of its divisors is an integer number (26558379540).

Almost surely, 21101087047412 is an apocalyptic number.

1101087047412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101087047412 is an abundant number, since it is smaller than the sum of its proper divisors (2085918497388).

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

1101087047412 is a wasteful number, since it uses less digits than its factorization.

1101087047412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611243 (or 4611232 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 1101087047412 in words is "one trillion, one hundred one billion, eighty-seven million, forty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 81 99 108 132 134 162 198 201 268 297 324 396 402 594 603 737 804 891 1188 1206 1474 1782 1809 2211 2412 2948 3564 3618 4422 5427 6633 7236 8844 10854 13266 19899 21708 26532 39798 59697 79596 119394 238788 4611149 9222298 13833447 18444596 27666894 41500341 50722639 55333788 83000682 101445278 124501023 152167917 166001364 202890556 249002046 304335834 308946983 373503069 456503751 498004092 608671668 617893966 747006138 913007502 926840949 1235787932 1369511253 1494012276 1826015004 1853681898 2739022506 2780522847 3398416813 3707363796 4108533759 5478045012 5561045694 6796833626 8217067518 8341568541 10195250439 11122091388 13593667252 16434135036 16683137082 20390500878 25024705623 30585751317 33366274164 40781001756 50049411246 61171502634 91757253951 100098822492 122343005268 183514507902 275271761853 367029015804 550543523706 1101087047412