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10022021200002 = 2372233343443347
BaseRepresentation
bin1001000111010110111100…
…0000110111100010000010
31022111002120220000010020110
42101311233000313202002
52303200044411400002
633152015235452150
72053032012430500
oct221655700674202
938432526003213
1010022021200002
11321435176a569
12115a402757056
135790c34c0b96
142690d5a2b670
15125a6835ce6c
hex91d6f037882

10022021200002 has 96 divisors (see below), whose sum is σ = 24337634568192. Its totient is φ = 2738111989536.

The previous prime is 10022021200001. The next prime is 10022021200007. The reversal of 10022021200002 is 20000212022001.

It is not an unprimeable number, because it can be changed into a prime (10022021200001) 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, 22383693 + ... + 22827039.

It is an arithmetic number, because the mean of its divisors is an integer number (253517026752).

Almost surely, 210022021200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022021200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12168817284096).

10022021200002 is an abundant number, since it is smaller than the sum of its proper divisors (14315613368190).

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

10022021200002 is a wasteful number, since it uses less digits than its factorization.

10022021200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446732 (or 446725 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022021200002 its reverse (20000212022001), we get a palindrome (30022233222003).

The spelling of 10022021200002 in words is "ten trillion, twenty-two billion, twenty-one million, two hundred thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 483 966 1127 2254 3343 3381 6686 6762 10029 20058 23401 46802 70203 76889 140406 153778 163807 230667 327614 443347 461334 491421 538223 886694 982842 1076446 1330041 1614669 2660082 3103429 3229338 3767561 6206858 7535122 9310287 10196981 11302683 18620574 20393962 21724003 22605366 30590943 43448006 61181886 65172009 71378867 130344018 142757734 214136601 428273202 499652069 999304138 1482109021 1498956207 2964218042 2997912414 4446327063 8892654126 10374763147 20749526294 31124289441 34088507483 62248578882 68177014966 72623342029 102265522449 145246684058 204531044898 217870026087 238619552381 435740052174 477239104762 715858657143 1431717314286 1670336866667 3340673733334 5011010600001 10022021200002