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2122106515672 = 2311132142691401
BaseRepresentation
bin11110111000010111011…
…001111011000011011000
321111212112020210112201111
4132320113121323003120
5234232033232000142
64302514323230104
7306213530522413
oct36702731730330
97455466715644
102122106515672
11748a86894350
122a3341218334
13125162cab200
14749d389ab7a
153a302d85e17
hex1ee1767b0d8

2122106515672 has 48 divisors (see below), whose sum is σ = 4700254781880. Its totient is φ = 890394336000.

The previous prime is 2122106515619. The next prime is 2122106515699. The reversal of 2122106515672 is 2765156012212.

It is a happy number.

It is a super-3 number, since 3×21221065156723 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71330829 + ... + 71360572.

Almost surely, 22122106515672 is an apocalyptic number.

2122106515672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2122106515672 is an abundant number, since it is smaller than the sum of its proper divisors (2578148266208).

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

2122106515672 is a wasteful number, since it uses less digits than its factorization.

2122106515672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142691444 (or 142691427 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 2122106515672 in words is "two trillion, one hundred twenty-two billion, one hundred six million, five hundred fifteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 572 676 1144 1352 1859 3718 7436 14872 142691401 285382802 570765604 1141531208 1569605411 1854988213 3139210822 3709976426 6278421644 7419952852 12556843288 14839905704 20404870343 24114846769 40809740686 48229693538 81619481372 96459387076 163238962744 192918774152 265263314459 530526628918 1061053257836 2122106515672