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21111033312 = 2532733100003
BaseRepresentation
bin10011101010010100…
…001100110111100000
32000111021010121102200
4103222110030313200
5321213411031222
613410454413200
71345102552035
oct235224146740
960437117380
1021111033312
118a5369a876
124112061200
131cb591c5b5
141043a9738c
15838580eac
hex4ea50cde0

21111033312 has 72 divisors (see below), whose sum is σ = 60117004584. Its totient is φ = 7027340544.

The previous prime is 21111033311. The next prime is 21111033341. The reversal of 21111033312 is 21333011112.

21111033312 is a `hidden beast` number, since 211 + 110 + 33 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111033311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161103 + ... + 261105.

It is an arithmetic number, because the mean of its divisors is an integer number (834958397).

Almost surely, 221111033312 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 21111033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30058502292).

21111033312 is an abundant number, since it is smaller than the sum of its proper divisors (39005971272).

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

21111033312 is a wasteful number, since it uses less digits than its factorization.

21111033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100752 (or 100741 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21111033312 its reverse (21333011112), we get a palindrome (42444044424).

The spelling of 21111033312 in words is "twenty-one billion, one hundred eleven million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 733 1466 2199 2932 4398 5864 6597 8796 11728 13194 17592 23456 26388 35184 52776 70368 100003 105552 200006 211104 300009 400012 600018 800024 900027 1200036 1600048 1800054 2400072 3200096 3600108 4800144 7200216 9600288 14400432 28800864 73302199 146604398 219906597 293208796 439813194 586417592 659719791 879626388 1172835184 1319439582 1759252776 2345670368 2638879164 3518505552 5277758328 7037011104 10555516656 21111033312