Search a number
-
+
211404001302024 = 23359617937258241
BaseRepresentation
bin110000000100010101010100…
…011001101101011000001000
31000201112000200100000022100220
4300010111110121231120020
5210202120343313131044
62025341354003030040
762346302141100546
oct6004252431553010
91021460610008326
10211404001302024
11613a5a2a498033
121b86361836b320
1390c6408caa4ab
143a2c018930d96
151969183573019
hexc0455466d608

211404001302024 has 128 divisors (see below), whose sum is σ = 538915519900800. Its totient is φ = 69087273615360.

The previous prime is 211404001301963. The next prime is 211404001302107. The reversal of 211404001302024 is 420203100404112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 211404001301985 and 211404001302003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818501544 + ... + 818759784.

It is an arithmetic number, because the mean of its divisors is an integer number (4210277499225).

Almost surely, 2211404001302024 is an apocalyptic number.

211404001302024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211404001302024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269457759950400).

211404001302024 is an abundant number, since it is smaller than the sum of its proper divisors (327511518598776).

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

211404001302024 is a wasteful number, since it uses less digits than its factorization.

211404001302024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259863 (or 259859 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211404001302024 its reverse (420203100404112), we get a palindrome (631607101706136).

The spelling of 211404001302024 in words is "two hundred eleven trillion, four hundred four billion, one million, three hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 617 708 937 1234 1416 1851 1874 2468 2811 3702 3748 4936 5622 7404 7496 11244 14808 22488 36403 55283 72806 109209 110566 145612 165849 218418 221132 258241 291224 331698 436836 442264 516482 578129 663396 774723 873672 1032964 1156258 1326792 1549446 1734387 2065928 2312516 3098892 3468774 4625032 6197784 6937548 13875096 15236219 30472438 34109611 45708657 60944876 68219222 91417314 102328833 121889752 136438444 159334697 182834628 204657666 241971817 272876888 318669394 365669256 409315332 478004091 483943634 637338788 725915451 818630664 956008182 967887268 1274677576 1451830902 1912016364 1935774536 2903661804 3824032728 5807323608 9400747123 14276337203 18801494246 28202241369 28552674406 37602988492 42829011609 56404482738 57105348812 75205976984 85658023218 112808965476 114210697624 149296611089 171316046436 225617930952 298593222178 342632092872 447889833267 597186444356 895779666534 1194372888712 1791559333068 3583118666136 8808500054251 17617000108502 26425500162753 35234000217004 52851000325506 70468000434008 105702000651012 211404001302024