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1122102012132 = 2232711379073533
BaseRepresentation
bin10000010101000010011…
…111011110100011100100
310222021100012220022112200
4100111002133132203210
5121341031103342012
62215253032214500
7144032506505463
oct20250237364344
93867305808480
101122102012132
113a2976372922
1216157983a430
1381a76ac686a
143c44aa009da
151e2c60303dc
hex105427de8e4

1122102012132 has 144 divisors (see below), whose sum is σ = 2901385049472. Its totient is φ = 365567086080.

The previous prime is 1122102012127. The next prime is 1122102012137. The reversal of 1122102012132 is 2312102012211.

It is an interprime number because it is at equal distance from previous prime (1122102012127) and next prime (1122102012137).

It is a super-2 number, since 2×11221020121322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1122102012137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 317604238 + ... + 317607770.

It is an arithmetic number, because the mean of its divisors is an integer number (20148507288).

Almost surely, 21122102012132 is an apocalyptic number.

1122102012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122102012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450692524736).

1122102012132 is an abundant number, since it is smaller than the sum of its proper divisors (1779283037340).

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

1122102012132 is a wasteful number, since it uses less digits than its factorization.

1122102012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1122102012132 its reverse (2312102012211), we get a palindrome (3434204024343).

The spelling of 1122102012132 in words is "one trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 137 142 213 274 284 411 426 548 639 822 852 907 1233 1278 1644 1814 2466 2556 2721 3533 3628 4932 5442 7066 8163 9727 10599 10884 14132 16326 19454 21198 29181 31797 32652 38908 42396 58362 63594 64397 87543 116724 124259 127188 128794 175086 193191 248518 250843 257588 350172 372777 386382 484021 497036 501686 579573 745554 752529 772764 968042 1003372 1118331 1159146 1452063 1491108 1505058 1936084 2236662 2257587 2318292 2904126 3010116 3204431 4356189 4473324 4515174 5808252 6408862 8712378 8822389 9030348 9613293 12817724 17424756 17644778 19226586 26467167 28839879 34365491 35289556 38453172 52934334 57679758 68730982 79401501 103096473 105868668 115359516 137461964 158803002 206192946 227514601 309289419 317606004 412385892 439007047 455029202 618578838 682543803 878014094 910058404 1237157676 1317021141 1365087606 1756028188 2047631409 2634042282 2730175212 3951063423 4095262818 5268084564 7902126846 8190525636 15804253692 31169500337 62339000674 93508501011 124678001348 187017002022 280525503033 374034004044 561051006066 1122102012132