Search a number
-
+
21201100021212 = 22323372373315031
BaseRepresentation
bin1001101001000010001000…
…00010010001110111011100
32210001210202010001111001120
410310201010002101313130
510234324323101134322
6113031352332010540
74315505010526566
oct464410402216734
983053663044046
1021201100021212
116834377283371
122464ab9600a50
13baa341758c67
145341d28cc336
1526b75140da5c
hex134844091ddc

21201100021212 has 144 divisors (see below), whose sum is σ = 53070655421952. Its totient is φ = 6574875183360.

The previous prime is 21201100021177. The next prime is 21201100021217. The reversal of 21201100021212 is 21212000110212.

It is a junction number, because it is equal to n+sod(n) for n = 21201100021191 and 21201100021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201100021217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1410484137 + ... + 1410499167.

It is an arithmetic number, because the mean of its divisors is an integer number (368546218208).

Almost surely, 221201100021212 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 21201100021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535327710976).

21201100021212 is an abundant number, since it is smaller than the sum of its proper divisors (31869555400740).

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

21201100021212 is a wasteful number, since it uses less digits than its factorization.

21201100021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18868 (or 18829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21201100021212 its reverse (21212000110212), we get a palindrome (42413100131424).

The spelling of 21201100021212 in words is "twenty-one trillion, two hundred one billion, one hundred million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1369 1702 2553 2738 3404 3733 4107 5106 5476 7466 8214 10212 11199 14932 15031 16428 22398 30062 31487 44796 45093 60124 62974 85859 90186 94461 125948 138121 171718 180372 188922 257577 276242 343436 345713 377844 414363 515154 552484 556147 691426 828726 1030308 1037139 1112294 1382852 1657452 1668441 2074278 2224588 3176783 3336882 4148556 5110477 6353566 6673764 9530349 10220954 12707132 12791381 15331431 19060698 20441908 20577439 25582762 30662862 38121396 38374143 41154878 51165524 56110723 61325724 61732317 76748286 82309756 112221446 117540971 123464634 153496572 168332169 224442892 235081942 246929268 336664338 352622913 470163884 473281097 673328676 705245826 946562194 1290546629 1410491652 1419843291 1893124388 2076096751 2581093258 2839686582 3871639887 4152193502 5162186516 5679373164 6228290253 7743279774 8304387004 12456580506 15486559548 24913161012 47750225273 76815579787 95500450546 143250675819 153631159574 191000901092 230446739361 286501351638 307262319148 460893478722 573002703276 921786957444 1766758335101 3533516670202 5300275005303 7067033340404 10600550010606 21201100021212