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2121526171242 = 232416143467963
BaseRepresentation
bin11110110111110100110…
…100000101011001101010
321111211000210202222211100
4132313310310011121222
5234224341144434432
64302340552342230
7306163252626222
oct36676464053152
97454023688740
102121526171242
11748809240a55
122a31ba9a4976
1312509c9a503a
147497a78d082
153a2bbe4c07c
hex1edf4d0566a

2121526171242 has 48 divisors (see below), whose sum is σ = 4709529796608. Its totient is φ = 689813424960.

The previous prime is 2121526171223. The next prime is 2121526171243. The reversal of 2121526171242 is 2421716251212.

2121526171242 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 526 + 1 + 7 + 124 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2121526171197 and 2121526171206.

It is not an unprimeable number, because it can be changed into a prime (2121526171243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4299553 + ... + 4767515.

It is an arithmetic number, because the mean of its divisors is an integer number (98115204096).

Almost surely, 22121526171242 is an apocalyptic number.

2121526171242 is an abundant number, since it is smaller than the sum of its proper divisors (2588003625366).

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

2121526171242 is a wasteful number, since it uses less digits than its factorization.

2121526171242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474155 (or 474152 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 2121526171242 in words is "two trillion, one hundred twenty-one billion, five hundred twenty-six million, one hundred seventy-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 6143 12286 18429 36858 55287 110574 251863 467963 503726 755589 935926 1403889 1511178 2266767 2807778 4211667 4533534 8423334 19186483 38372966 57559449 115118898 172678347 345356694 2874696709 5749393418 8624090127 17248180254 25872270381 51744540762 117862565069 235725130138 353587695207 707175390414 1060763085621 2121526171242