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10221222113310 = 23513671553251879
BaseRepresentation
bin1001010010111101000001…
…0100000011000000011110
31100012010202112122222212110
42110233100110003000132
52314431030330111220
633423321542414450
72103313261313625
oct224572024030036
940163675588773
1010221222113310
11329088346403a
121190b36731426
13591b1b0b9aa0
142749d19406bc
1512ad2658abe0
hex94bd050301e

10221222113310 has 128 divisors (see below), whose sum is σ = 26829596666880. Its totient is φ = 2476835260416.

The previous prime is 10221222113299. The next prime is 10221222113383. The reversal of 10221222113310 is 1331122212201.

It is a super-2 number, since 2×102212221133102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40453951 + ... + 40705829.

It is an arithmetic number, because the mean of its divisors is an integer number (209606223960).

Almost surely, 210221222113310 is an apocalyptic number.

10221222113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221222113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414798333440).

10221222113310 is an abundant number, since it is smaller than the sum of its proper divisors (16608374553570).

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

10221222113310 is a wasteful number, since it uses less digits than its factorization.

10221222113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253522.

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

Adding to 10221222113310 its reverse (1331122212201), we get a palindrome (11552344325511).

The spelling of 10221222113310 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 195 201 335 390 402 670 871 1005 1553 1742 2010 2613 3106 4355 4659 5226 7765 8710 9318 13065 15530 20189 23295 26130 40378 46590 60567 100945 104051 121134 201890 208102 251879 302835 312153 503758 520255 605670 624306 755637 1040510 1259395 1352663 1511274 1560765 2518790 2705326 3121530 3274427 3778185 4057989 6548854 6763315 7556370 8115978 9823281 13526630 16372135 16875893 19646562 20289945 32744270 33751786 40579890 49116405 50627679 84379465 98232810 101255358 168758930 219386609 253138395 391168087 438773218 506276790 658159827 782336174 1096933045 1173504261 1316319654 1955840435 2193866090 2347008522 3290799135 3911680870 5085185131 5867521305 6581598270 10170370262 11735042610 15255555393 25425925655 26208261829 30511110786 50851851310 52416523658 76277776965 78624785487 131041309145 152555553930 157249570974 262082618290 340707403777 393123927435 681414807554 786247854870 1022122211331 1703537018885 2044244422662 3407074037770 5110611056655 10221222113310