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10002120021222 = 2371943699741659
BaseRepresentation
bin1001000110001100110011…
…0011111001010011100110
31022102012012221102111012220
42101203030303321103212
52302333320211134342
633134524400253210
72051425600256220
oct221431463712346
938365187374186
1010002120021222
113206969aa737a
121156589911206
13577271436354
1426816890b410
151252a11125ec
hex918cccf94e6

10002120021222 has 128 divisors (see below), whose sum is σ = 24629018726400. Its totient is φ = 2643937946496.

The previous prime is 10002120021151. The next prime is 10002120021293. The reversal of 10002120021222 is 22212002120001.

10002120021222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10002120021151) and next prime (10002120021293).

It is a congruent number.

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, 240074229 + ... + 240115887.

It is an arithmetic number, because the mean of its divisors is an integer number (192414208800).

Almost surely, 210002120021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002120021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12314509363200).

10002120021222 is an abundant number, since it is smaller than the sum of its proper divisors (14626898705178).

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

10002120021222 is a wasteful number, since it uses less digits than its factorization.

10002120021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48730.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10002120021222 its reverse (22212002120001), we get a palindrome (32214122141223).

The spelling of 10002120021222 in words is "ten trillion, two billion, one hundred twenty million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 57 86 114 129 133 258 266 301 399 602 798 817 903 1634 1806 2451 4902 5719 6997 11438 13994 17157 20991 34314 41659 41982 48979 83318 97958 124977 132943 146937 249954 265886 291613 293874 300871 398829 583226 601742 791521 797658 874839 902613 930601 1583042 1749678 1791337 1805226 1861202 2106097 2374563 2791803 3582674 4212194 4749126 5374011 5540647 5583606 5716549 6318291 10748022 11081294 11433098 12539359 12636582 16621941 17149647 25078718 33243882 34035403 34299294 37618077 40015843 68070806 75236154 80031686 102106209 120047529 204212418 238247821 240095058 291488023 476495642 582976046 714743463 874464069 1429486926 1748928138 2040416161 4080832322 5538272437 6121248483 11076544874 12242496966 12533984989 16614817311 25067969978 33229634622 37601954967 38767907059 75203909934 77535814118 87737894923 116303721177 175475789846 232607442354 238145714791 263213684769 476291429582 526427369538 714437144373 1428874288746 1667020003537 3334040007074 5001060010611 10002120021222