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2122213221312 = 26372722976619
BaseRepresentation
bin11110111000011101110…
…000111110001111000000
321111212210200120202100020
4132320131300332033000
5234232243041040222
64302533054253440
7306216264513522
oct36703560761700
97455720522306
102122213221312
11749031045928
122a3370ab7280
1312517c12bc42
1474a03b15a12
153a30c41265c
hex1ee1dc3e3c0

2122213221312 has 112 divisors (see below), whose sum is σ = 5626043754240. Its totient is φ = 706017134592.

The previous prime is 2122213221299. The next prime is 2122213221361. The reversal of 2122213221312 is 2131223122212.

It is a super-2 number, since 2×21222132213122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320621139 + ... + 320627757.

It is an arithmetic number, because the mean of its divisors is an integer number (50232533520).

Almost surely, 22122213221312 is an apocalyptic number.

It is an amenable number.

2122213221312 is an abundant number, since it is smaller than the sum of its proper divisors (3503830532928).

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

2122213221312 is a wasteful number, since it uses less digits than its factorization.

2122213221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9658 (or 9648 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 2122213221312 its reverse (2131223122212), we get a palindrome (4253436343524).

The spelling of 2122213221312 in words is "two trillion, one hundred twenty-two billion, two hundred thirteen million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 727 1454 2181 2297 2908 4362 4594 5816 6619 6891 8724 9188 11632 13238 13782 17448 18376 19857 23264 26476 27564 34896 36752 39714 46528 52952 55128 69792 73504 79428 105904 110256 139584 147008 158856 211808 220512 317712 423616 441024 635424 1270848 1669919 3339838 4812013 5009757 6679676 9624026 10019514 13359352 14436039 15203843 19248052 20039028 26718704 28872078 30407686 38496104 40078056 45611529 53437408 57744156 60815372 76992208 80156112 91223058 106874816 115488312 121630744 153984416 160312224 182446116 230976624 243261488 307968832 320624448 364892232 461953248 486522976 729784464 923906496 973045952 1459568928 2919137856 11053193861 22106387722 33159581583 44212775444 66319163166 88425550888 132638326332 176851101776 265276652664 353702203552 530553305328 707404407104 1061106610656 2122213221312