Search a number
-
+
21222021023100 = 223252191241053861
BaseRepresentation
bin1001101001101001000110…
…00001100100010101111100
32210010210202010121111101100
410310310203001210111330
510240200144340214400
6113045132321413100
74320145315233312
oct464644301442574
983123663544340
1021222021023100
116842232679777
122468b77a9a190
13bac2c6ba1711
1453521923a0b2
1526c077e54100
hex134d2306457c

21222021023100 has 108 divisors (see below), whose sum is σ = 70020258894040. Its totient is φ = 5361352675200.

The previous prime is 21222021023057. The next prime is 21222021023101. The reversal of 21222021023100 is 132012022212.

21222021023100 is a `hidden beast` number, since 2 + 1 + 2 + 220 + 210 + 231 + 0 + 0 = 666.

It is a super-2 number, since 2×212220210231002 (a number of 27 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 (21222021023101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620509831 + ... + 620544030.

Almost surely, 221222021023100 is an apocalyptic number.

21222021023100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222021023100 is an abundant number, since it is smaller than the sum of its proper divisors (48798237870940).

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

21222021023100 is a wasteful number, since it uses less digits than its factorization.

21222021023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241053900 (or 1241053890 counting only the distinct ones).

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

Adding to 21222021023100 its reverse (132012022212), we get a palindrome (21354033045312).

The spelling of 21222021023100 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-one million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 1241053861 2482107722 3723161583 4964215444 6205269305 7446323166 11169484749 12410538610 14892646332 18615807915 22338969498 23580023359 24821077220 31026346525 37231615830 44677938996 47160046718 55847423745 62052693050 70740070077 74463231660 93079039575 94320093436 111694847490 117900116795 124105386100 141480140154 186158079150 212220210231 223389694980 235800233590 279237118725 282960280308 353700350385 372316158300 424440420462 471600467180 558474237450 589500583975 707400700770 848880840924 1061101051155 1116948474900 1179001167950 1414801401540 1768501751925 2122202102310 2358002335900 3537003503850 4244404204620 5305505255775 7074007007700 10611010511550 21222021023100