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21132023112 = 2332401731921
BaseRepresentation
bin10011101011100100…
…010001010101001000
32000112201122000000200
4103223210101111020
5321234244214422
613412524332200
71345446142554
oct235344212510
960481560020
1021132023112
118a64526812
1241190a4060
131cba08b3b5
14104679c864
1583a32a2ac
hex4eb911548

21132023112 has 48 divisors (see below), whose sum is σ = 57375365580. Its totient is φ = 7026432000.

The previous prime is 21132023093. The next prime is 21132023161.

21132023112 is a `hidden beast` number, since 211 + 320 + 23 + 112 = 666.

21132023112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 19643143716 + 1488879396 = 140154^2 + 38586^2 .

It is a super-2 number, since 2×211320231122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337089 + ... + 394832.

Almost surely, 221132023112 is an apocalyptic number.

It is an amenable number.

21132023112 is an abundant number, since it is smaller than the sum of its proper divisors (36243342468).

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

21132023112 is a wasteful number, since it uses less digits than its factorization.

21132023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732334 (or 732327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 211320 and 23112, that added together give a palindrome (234432).

The spelling of 21132023112 in words is "twenty-one billion, one hundred thirty-two million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 401 802 1203 1604 2406 3208 3609 4812 7218 9624 14436 28872 731921 1463842 2195763 2927684 4391526 5855368 6587289 8783052 13174578 17566104 26349156 52698312 293500321 587000642 880500963 1174001284 1761001926 2348002568 2641502889 3522003852 5283005778 7044007704 10566011556 21132023112