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21112020011012 = 22719218671118717
BaseRepresentation
bin1001100110011100001100…
…11101000000100000000100
32202202021210222022002200112
410303032012131000200010
510231344404110323022
6112522421134132152
74306202352116210
oct463160635004004
982667728262615
1021112020011012
1167aa6149a8227
12244b798951058
13ba1b1640bc58
1452db81c71940
1526928ac0b8e2
hex133386740804

21112020011012 has 72 divisors (see below), whose sum is σ = 44587230819264. Its totient is φ = 8567198725824.

The previous prime is 21112020010973. The next prime is 21112020011023. The reversal of 21112020011012 is 21011002021112.

21112020011012 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211120200110122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18312278 + ... + 19430994.

It is an arithmetic number, because the mean of its divisors is an integer number (619267094712).

Almost surely, 221112020011012 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 21112020011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293615409632).

21112020011012 is an abundant number, since it is smaller than the sum of its proper divisors (23475210808252).

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

21112020011012 is a wasteful number, since it uses less digits than its factorization.

21112020011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120633 (or 1120612 counting only the distinct ones).

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

Adding to 21112020011012 its reverse (21011002021112), we get a palindrome (42123022032124).

The spelling of 21112020011012 in words is "twenty-one trillion, one hundred twelve billion, twenty million, eleven thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 1444 1867 2527 3734 5054 7468 10108 13069 26138 35473 52276 70946 141892 248311 496622 673987 993244 1118717 1347974 2237434 2695948 4474868 4717909 7831019 9435818 15662038 18871636 21255623 31324076 42511246 85022492 148789361 297578722 403856837 595157444 807713674 1615427348 2088644639 2826997859 4177289278 5653995718 8354578556 11307991436 14620512473 29241024946 39684248141 58482049892 79368496282 158736992564 277789736987 555579473974 754000714679 1111158947948 1508001429358 3016002858716 5278005002753 10556010005506 21112020011012