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10010022212120 = 2357132726940527
BaseRepresentation
bin1001000110101010001111…
…0100010111001000011000
31022102221121122210101020212
42101222203310113020120
52303001011141241440
633142312443510252
72052125452630520
oct221524364271030
938387548711225
1010010022212120
11320a25463a357
121158014228388
13577c30621c58
142686b81d4680
151255b4c3c465
hex91aa3d17218

10010022212120 has 64 divisors (see below), whose sum is σ = 25759455252480. Its totient is φ = 3429421197696.

The previous prime is 10010022212117. The next prime is 10010022212149. The reversal of 10010022212120 is 2121222001001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10010022212095 and 10010022212104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13098704 + ... + 13841823.

It is an arithmetic number, because the mean of its divisors is an integer number (402491488320).

Almost surely, 210010022212120 is an apocalyptic number.

10010022212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010022212120 is an abundant number, since it is smaller than the sum of its proper divisors (15749433040360).

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

10010022212120 is a wasteful number, since it uses less digits than its factorization.

10010022212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26941872 (or 26941868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10010022212120 its reverse (2121222001001), we get a palindrome (12131244213121).

The spelling of 10010022212120 in words is "ten trillion, ten billion, twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1327 2654 5308 6635 9289 10616 13270 18578 26540 37156 46445 53080 74312 92890 185780 371560 26940527 53881054 107762108 134702635 188583689 215524216 269405270 377167378 538810540 754334756 942918445 1077621080 1508669512 1885836890 3771673780 7543347560 35750079329 71500158658 143000317316 178750396645 250250555303 286000634632 357500793290 500501110606 715001586580 1001002221212 1251252776515 1430003173160 2002004442424 2502505553030 5005011106060 10010022212120