Search a number
-
+
231212100312210 = 235417916371453549
BaseRepresentation
bin110100100100100101000011…
…000110110101110010010010
31010022122122211210220110212110
4310210211003012311302102
5220301134340134442320
62135425212245010150
766462344246456163
oct6444450306656222
91108578753813773
10231212100312210
1167742556a37116
1221b225546b3956
139c02290b70284
144114a2258976a
151bae555edb5e0
hexd249431b5c92

231212100312210 has 128 divisors (see below), whose sum is σ = 575990932608000. Its totient is φ = 59354993018880.

The previous prime is 231212100312203. The next prime is 231212100312233. The reversal of 231212100312210 is 12213001212132.

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, 158340516 + ... + 159794064.

It is an arithmetic number, because the mean of its divisors is an integer number (4499929161000).

Almost surely, 2231212100312210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231212100312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287995466304000).

231212100312210 is an abundant number, since it is smaller than the sum of its proper divisors (344778832295790).

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

231212100312210 is a wasteful number, since it uses less digits than its factorization.

231212100312210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455316.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 231212100312210 its reverse (12213001212132), we get a palindrome (243425101524342).

The spelling of 231212100312210 in words is "two hundred thirty-one trillion, two hundred twelve billion, one hundred million, three hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 79 82 123 158 205 237 246 395 410 474 615 790 1185 1230 1637 2370 3239 3274 4911 6478 8185 9717 9822 16195 16370 19434 24555 32390 48585 49110 67117 97170 129323 134234 201351 258646 335585 387969 402702 646615 671170 775938 1006755 1293230 1453549 1939845 2013510 2907098 3879690 4360647 5302243 7267745 8721294 10604486 14535490 15906729 21803235 26511215 31813458 43606470 53022430 59595509 79533645 114830371 119191018 159067290 178786527 229660742 297977545 344491113 357573054 574151855 595955090 688982226 893932635 1148303710 1722455565 1787865270 2379459713 3444911130 4708045211 4758919426 7138379139 9416090422 11897298565 14124135633 14276758278 23540226055 23794597130 28248271266 35691895695 47080452110 70620678165 71383791390 97557848233 141241356330 187977317327 195115696466 292673544699 375954634654 487789241165 563931951981 585347089398 939886586635 975578482330 1127863903962 1463367723495 1879773173270 2819659759905 2926735446990 5639319519810 7707070010407 15414140020814 23121210031221 38535350052035 46242420062442 77070700104070 115606050156105 231212100312210