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212110100202 = 2371113101349667
BaseRepresentation
bin1100010110001010111…
…1110100011011101010
3202021111022120111221010
43011202233310123222
511433400141201302
6241235251324350
721216200050410
oct3054257643352
9667438514833
10212110100202
1181a56692780
12351372b06b6
1317004222840
14a3a259d2b0
1557b66e216c
hex3162bf46ea

212110100202 has 128 divisors (see below), whose sum is σ = 575223441408. Its totient is φ = 50351904000.

The previous prime is 212110100171. The next prime is 212110100219. The reversal of 212110100202 is 202001011212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431773 + ... + 781439.

It is an arithmetic number, because the mean of its divisors is an integer number (4493933136).

Almost surely, 2212110100202 is an apocalyptic number.

212110100202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212110100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287611720704).

212110100202 is an abundant number, since it is smaller than the sum of its proper divisors (363113341206).

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

212110100202 is a wasteful number, since it uses less digits than its factorization.

212110100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349804.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212110100202 its reverse (202001011212), we get a palindrome (414111111414).

The spelling of 212110100202 in words is "two hundred twelve billion, one hundred ten million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 101 143 154 182 202 231 273 286 303 429 462 546 606 707 858 1001 1111 1313 1414 2002 2121 2222 2626 3003 3333 3939 4242 6006 6666 7777 7878 9191 14443 15554 18382 23331 27573 28886 43329 46662 55146 86658 101101 202202 303303 349667 606606 699334 1049001 2098002 2447669 3846337 4545671 4895338 7343007 7692674 9091342 11539011 13637013 14686014 23078022 26924359 27274026 31819697 35316367 50002381 53848718 63639394 70632734 80773077 95459091 100004762 105949101 150007143 161546154 190918182 211898202 247214569 300014286 350016667 388480037 459112771 494429138 700033334 741643707 776960074 918225542 1050050001 1165440111 1377338313 1483287414 2100100002 2330880222 2719360259 2754676626 3213789397 5050240481 5438720518 6427578794 8158080777 9641368191 10100480962 15150721443 16316161554 19282736382 30301442886 35351683367 70703366734 106055050101 212110100202