Search a number
-
+
21122004312 = 2333197496381
BaseRepresentation
bin10011101010111110…
…000011010101011000
32000112000202222211000
4103222332003111120
5321224213114222
613411525505000
71345265034333
oct235276032530
960460688730
1021122004312
118a59903512
124115872160
131cb7c91106
14104531161a
158394eb9ac
hex4eaf83558

21122004312 has 64 divisors (see below), whose sum is σ = 58970181600. Its totient is φ = 7004914560.

The previous prime is 21122004289. The next prime is 21122004313. The reversal of 21122004312 is 21340022112.

It is a happy number.

21122004312 is a `hidden beast` number, since 2 + 11 + 220 + 0 + 431 + 2 = 666.

It is a super-2 number, since 2×211220043122 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122004313) 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, 205639 + ... + 290742.

Almost surely, 221122004312 is an apocalyptic number.

It is an amenable number.

21122004312 is an abundant number, since it is smaller than the sum of its proper divisors (37848177288).

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

21122004312 is a wasteful number, since it uses less digits than its factorization.

21122004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496593 (or 496583 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21122004312 its reverse (21340022112), we get a palindrome (42462026424).

The spelling of 21122004312 in words is "twenty-one billion, one hundred twenty-two million, four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 394 591 788 1182 1576 1773 2364 3546 4728 5319 7092 10638 14184 21276 42552 496381 992762 1489143 1985524 2978286 3971048 4467429 5956572 8934858 11913144 13402287 17869716 26804574 35739432 53609148 97787057 107218296 195574114 293361171 391148228 586722342 782296456 880083513 1173444684 1760167026 2346889368 2640250539 3520334052 5280501078 7040668104 10561002156 21122004312