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10312222312220 = 22543107121792083
BaseRepresentation
bin1001011000010000000001…
…0110010000011100011100
31100111211122111121001221212
42112010000112100130130
52322423412402442340
633533211452443552
72113014324250163
oct226040026203434
940454574531855
1010312222312220
1133164307243a4
1211a66b24795b8
1359a5911b892a
142791855dc3da
1512d3a0637a65
hex9610059071c

10312222312220 has 96 divisors (see below), whose sum is σ = 22385004542208. Its totient is φ = 3987984494592.

The previous prime is 10312222312219. The next prime is 10312222312237. The reversal of 10312222312220 is 2221322221301.

It is a happy number.

It is a super-2 number, since 2×103122223122202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111942299 + ... + 112034381.

It is an arithmetic number, because the mean of its divisors is an integer number (233177130648).

Almost surely, 210312222312220 is an apocalyptic number.

10312222312220 is a gapful number since it is divisible by the number (10) 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 10312222312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192502271104).

10312222312220 is an abundant number, since it is smaller than the sum of its proper divisors (12072782229988).

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

10312222312220 is a wasteful number, since it uses less digits than its factorization.

10312222312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93459 (or 93457 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10312222312220 its reverse (2221322221301), we get a palindrome (12533544533521).

The spelling of 10312222312220 in words is "ten trillion, three hundred twelve billion, two hundred twenty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 107 172 214 215 428 430 535 860 1070 1217 2140 2434 4601 4868 6085 9202 12170 18404 23005 24340 46010 52331 92020 92083 104662 130219 184166 209324 260438 261655 368332 460415 520876 523310 651095 920830 1046620 1302190 1841660 2604380 3959569 5599417 7919138 9852881 11198834 15838276 19705762 19797845 22397668 27997085 39411524 39595690 49264405 55994170 79191380 98528810 111988340 112065011 197057620 224130022 423673883 448260044 560325055 847347766 1120650110 1694695532 2118369415 2241300220 4236738830 4818795473 8473477660 9637590946 11990956177 19275181892 23981912354 24093977365 47963824708 48187954730 59954780885 96375909460 119909561770 239819123540 515611115611 1031222231222 2062444462444 2578055578055 5156111156110 10312222312220