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10022210323112 = 231319181157117837
BaseRepresentation
bin1001000111010111101001…
…0010010100001010101000
31022111010002001212120101002
42101311322102110022220
52303200441320314422
633152050113214132
72053036500104021
oct221657222241250
938433061776332
1010022210323112
1132144394a3559
12115a455b61348
1357912373a450
14269112bbbc48
15125a79c69692
hex91d7a4942a8

10022210323112 has 128 divisors (see below), whose sum is σ = 21434797238400. Its totient is φ = 4354951910400.

The previous prime is 10022210323109. The next prime is 10022210323129. The reversal of 10022210323112 is 21132301222001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561868658 + ... + 561886494.

It is an arithmetic number, because the mean of its divisors is an integer number (167459353425).

Almost surely, 210022210323112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022210323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10717398619200).

10022210323112 is an abundant number, since it is smaller than the sum of its proper divisors (11412586915288).

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

10022210323112 is a wasteful number, since it uses less digits than its factorization.

10022210323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627 (or 19623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10022210323112 its reverse (21132301222001), we get a palindrome (31154511545113).

The spelling of 10022210323112 in words is "ten trillion, twenty-two billion, two hundred ten million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 181 247 362 494 724 988 1448 1571 1976 2353 3142 3439 4706 6284 6878 9412 12568 13756 17837 18824 20423 27512 29849 35674 40846 44707 59698 71348 81692 89414 119396 142696 163384 178828 231881 238792 284351 338903 357656 388037 463762 568702 677806 776074 927524 1137404 1355612 1552148 1855048 2274808 2711224 3104296 3228497 3696563 4405739 5402669 6456994 7393126 8811478 10805338 12913988 14786252 17622956 21610676 25827976 28021927 29572504 35245912 41970461 43221352 56043854 61341443 70234697 83940922 112087708 122682886 140469394 167881844 224175416 245365772 280938788 335763688 364285051 490731544 532416613 561877576 728570102 797438759 1064833226 1457140204 1594877518 2129666452 2914280408 3189755036 4259332904 5071968787 6379510072 6921415969 10143937574 13842831938 20287875148 27685663876 40575750296 55371327752 65935594231 96367406953 131871188462 192734813906 263742376924 385469627812 527484753848 770939255624 1252776290389 2505552580778 5011105161556 10022210323112