Search a number
-
+
21122001021212 = 22713313541528623
BaseRepresentation
bin1001100110101110110010…
…10111100010100100011100
32202210020120120022221200222
410303113121113202210130
510232030324230134322
6112531151401540512
74310004606240260
oct463273127424434
982706516287628
1021122001021212
116803876a21993
1224517034a4738
13ba2a471aaa50
1453044b6900a0
152696720b7e42
hex1335d95e291c

21122001021212 has 96 divisors (see below), whose sum is σ = 46974425186304. Its totient is φ = 8084110521600.

The previous prime is 21122001021211. The next prime is 21122001021223. The reversal of 21122001021212 is 21212010022112.

It is a super-2 number, since 2×211220010212122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122001021211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39692333 + ... + 40220955.

It is an arithmetic number, because the mean of its divisors is an integer number (489316929024).

Almost surely, 221122001021212 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 21122001021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23487212593152).

21122001021212 is an abundant number, since it is smaller than the sum of its proper divisors (25852424165092).

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

21122001021212 is a wasteful number, since it uses less digits than its factorization.

21122001021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532219 (or 532217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21122001021212 its reverse (21212010022112), we get a palindrome (42334011043324).

The spelling of 21122001021212 in words is "twenty-one trillion, one hundred twenty-two billion, one million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 3541 5642 7082 11284 14164 24787 46033 49574 92066 99148 109771 184132 219542 322231 439084 528623 644462 768397 1057246 1288924 1427023 1536794 2114492 2854046 3073588 3700361 5708092 6872099 7400722 9989161 13744198 14801444 16387313 19978322 27488396 32774626 39956644 48104693 65549252 96209386 114711191 192418772 213035069 229422382 426070138 458844764 852140276 1491245483 1871854043 2982490966 3743708086 5964981932 7487416172 13102978301 24334102559 26205956602 48668205118 52411913204 58027475333 97336410236 116054950666 170338717913 232109901332 340677435826 406192327331 681354871652 754357179329 812384654662 1508714358658 1624769309324 3017428717316 5280500255303 10561000510606 21122001021212