Search a number
-
+
211404031104 = 2737292711977
BaseRepresentation
bin1100010011100010101…
…0011000010010000000
3202012200002222111012210
43010320222120102000
511430423412443404
6241041230022120
721162534421050
oct3047052302200
9665602874183
10211404031104
11817240785a2
1234b7a947940
1316c20b69b86
14a3368c5560
155774721689
hex3138a98480

211404031104 has 128 divisors (see below), whose sum is σ = 663892214400. Its totient is φ = 58318331904.

The previous prime is 211404031081. The next prime is 211404031109. The reversal of 211404031104 is 401130404112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (211404031109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278037 + ... + 1433940.

It is an arithmetic number, because the mean of its divisors is an integer number (5186657925).

Almost surely, 2211404031104 is an apocalyptic number.

211404031104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211404031104 is an abundant number, since it is smaller than the sum of its proper divisors (452488183296).

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

211404031104 is a wasteful number, since it uses less digits than its factorization.

211404031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712030 (or 2712018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211404031104 its reverse (401130404112), we get a palindrome (612534435216).

The spelling of 211404031104 in words is "two hundred eleven billion, four hundred four million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1624 1856 2436 2688 2784 3248 3712 4872 5568 6496 9744 11136 12992 19488 25984 38976 77952 2711977 5423954 8135931 10847908 16271862 18983839 21695816 32543724 37967678 43391632 56951517 65087448 75935356 78647333 86783264 113903034 130174896 151870712 157294666 173566528 227806068 235941999 260349792 303741424 314589332 347133056 455612136 471883998 520699584 550531331 607482848 629178664 911224272 943767996 1041399168 1101062662 1214965696 1258357328 1651593993 1822448544 1887535992 2202125324 2429931392 2516714656 3303187986 3644897088 3775071984 4404250648 5033429312 6606375972 7289794176 7550143968 8808501296 10066858624 13212751944 15100287936 17617002592 26425503888 30200575872 35234005184 52851007776 70468010368 105702015552 211404031104