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21114331411124 = 22721715769158411
BaseRepresentation
bin1001100110100000100000…
…01110010011001010110100
32202202111210001121101120002
410303100100032103022310
510231414122320123444
6112523442343330432
74306313546521100
oct463202016231264
982674701541502
1021114331411124
1168005a06a5356
122450122a50a18
13ba20c4246023
1452dd20c2a900
15269373ad0d4e
hex1334103932b4

21114331411124 has 144 divisors (see below), whose sum is σ = 45868090290624. Its totient is φ = 8450067225600.

The previous prime is 21114331411057. The next prime is 21114331411127. The reversal of 21114331411124 is 42111413341112.

It is a super-2 number, since 2×211143314111242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114331411127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361449479 + ... + 361507889.

It is an arithmetic number, because the mean of its divisors is an integer number (318528404796).

Almost surely, 221114331411124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114331411124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934045145312).

21114331411124 is an abundant number, since it is smaller than the sum of its proper divisors (24753758879500).

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

21114331411124 is a wasteful number, since it uses less digits than its factorization.

21114331411124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59294 (or 59285 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

Adding to 21114331411124 its reverse (42111413341112), we get a palindrome (63225744752236).

The spelling of 21114331411124 in words is "twenty-one trillion, one hundred fourteen billion, three hundred thirty-one million, four hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 157 196 238 314 476 628 691 833 1099 1382 1666 2198 2669 2764 3332 4396 4837 5338 7693 9674 10676 11747 15386 18683 19348 23494 30772 33859 37366 46988 58411 67718 74732 82229 108487 116822 130781 135436 164458 216974 233644 261562 328916 408877 433948 523124 575603 759409 817754 992987 1151206 1518818 1635508 1844279 1985974 2302412 2862139 3037636 3688558 3971948 5315863 5724278 6950909 7377116 9170527 10631726 11448556 12909953 13901818 18341054 21263452 25819906 27803636 36682108 40362001 48656363 51639812 64193689 80724002 90369671 97312726 128387378 155898959 161448004 180739342 194625452 256774756 282534007 311797918 361478684 449355823 565068014 623595836 686154017 898711646 1091292713 1130136028 1372308034 1797423292 1977738049 2182585426 2744616068 3955476098 4365170852 4803078119 6336834157 7639048991 7910952196 9606156238 12673668314 15278097982 19212312476 25347336628 30556195964 33621546833 44357839099 67243093666 88715678198 107726180669 134486187332 177431356396 215452361338 310504873693 430904722676 621009747386 754083264683 1242019494772 1508166529366 3016333058732 5278582852781 10557165705562 21114331411124