Search a number
-
+
11001022210112 = 2611177043130513
BaseRepresentation
bin1010000000010110000000…
…0001010110000001000000
31102221200120011010022222012
42200011200001112001000
52420220043141210422
635221444433032052
72213540404626614
oct240054001260100
942850504108865
1011001022210112
113561564272560
1212980a40b5628
1361a5131395cc
142a0649225344
151412662c64e2
hexa0160056040

11001022210112 has 112 divisors (see below), whose sum is σ = 25219351778112. Its totient is φ = 4705615380480.

The previous prime is 11001022210111. The next prime is 11001022210127. The reversal of 11001022210112 is 21101222010011.

It is not an unprimeable number, because it can be changed into a prime (11001022210111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84225368 + ... + 84355880.

Almost surely, 211001022210112 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 11001022210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609675889056).

11001022210112 is an abundant number, since it is smaller than the sum of its proper divisors (14218329568000).

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

11001022210112 is a wasteful number, since it uses less digits than its factorization.

11001022210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137596 (or 137586 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11001022210112 its reverse (21101222010011), we get a palindrome (32102244220123).

The spelling of 11001022210112 in words is "eleven trillion, one billion, twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 7043 11968 14086 28172 56344 77473 112688 119731 130513 154946 225376 239462 261026 309892 450752 478924 522052 619784 957848 1044104 1239568 1317041 1435643 1915696 2088208 2218721 2479136 2634082 2871286 3831392 4176416 4437442 4958272 5268164 5742572 7662784 8352832 8874884 10536328 11485144 17749768 21072656 22970288 24405931 35499536 42145312 45940576 48811862 70999072 84290624 91881152 97623724 141998144 195247448 390494896 780989792 919203059 1561979584 1838406118 3676812236 7353624472 10111233649 14707248944 15626452003 20222467298 29414497888 31252904006 40444934596 58828995776 62505808012 80889869192 125011616024 161779738384 171890972033 250023232048 323559476768 343781944066 500046464096 647118953536 687563888132 1000092928192 1375127776264 2750255552528 5500511105056 11001022210112