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10320212101212 = 223213672691223533
BaseRepresentation
bin1001011000101101110010…
…0100111000100001011100
31100112121021022210101222200
42112023130210320201130
52323041243244214322
633541012345411500
72113416322321506
oct226133444704134
940477238711880
1010320212101212
1133198607580a2
1211a8162199b90
1359b265595120
142797027a8d76
1512d6bbcb78ac
hex962dc93885c

10320212101212 has 144 divisors (see below), whose sum is σ = 28619243321760. Its totient is φ = 3116424098304.

The previous prime is 10320212101201. The next prime is 10320212101217. The reversal of 10320212101212 is 21210121202301.

10320212101212 is a `hidden beast` number, since 1 + 0 + 320 + 212 + 10 + 121 + 2 = 666.

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 (10320212101217) 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, 7822998 + ... + 9046530.

It is an arithmetic number, because the mean of its divisors is an integer number (198744745290).

Almost surely, 210320212101212 is an apocalyptic number.

10320212101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320212101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309621660880).

10320212101212 is an abundant number, since it is smaller than the sum of its proper divisors (18299031220548).

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

10320212101212 is a wasteful number, since it uses less digits than its factorization.

10320212101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223892 (or 1223887 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10320212101212 its reverse (21210121202301), we get a palindrome (31530333303513).

The spelling of 10320212101212 in words is "ten trillion, three hundred twenty billion, two hundred twelve million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 269 402 468 538 603 804 807 871 1076 1206 1614 1742 2412 2421 2613 3228 3484 3497 4842 5226 6994 7839 9684 10452 10491 13988 15678 18023 20982 31356 31473 36046 41964 54069 62946 72092 108138 125892 162207 216276 234299 324414 468598 648828 702897 937196 1223533 1405794 2108691 2447066 2811588 3670599 4217382 4894132 7341198 8434764 11011797 14682396 15905929 22023594 31811858 44047188 47717787 63623716 81976711 95435574 143153361 163953422 190871148 245930133 286306722 327906844 329130377 491860266 572613444 658260754 737790399 983720532 987391131 1065697243 1316521508 1475580798 1974782262 2131394486 2951161596 2962173393 3197091729 3949564524 4262788972 4278694901 5924346786 6394183458 8557389802 9591275187 11848693572 12788366916 12836084703 17114779604 19182550374 22051735259 25672169406 38365100748 38508254109 44103470518 51344338812 66155205777 77016508218 88206941036 132310411554 154033016436 198465617331 264620823108 286672558367 396931234662 573345116734 793862469324 860017675101 1146690233468 1720035350202 2580053025303 3440070700404 5160106050606 10320212101212