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1022131133232 = 243114801403219
BaseRepresentation
bin11101101111110111100…
…00110101101100110000
310121201022002001110221020
432313323300311230300
5113221311032230412
62101321025255440
7133563235165236
oct16677360655460
93551262043836
101022131133232
11364535417950
12146119794580
1375504342051
14376857a0956
151b8c464918c
hexedfbc35b30

1022131133232 has 80 divisors (see below), whose sum is σ = 2881158510720. Its totient is φ = 309671424000.

The previous prime is 1022131133201. The next prime is 1022131133239. The reversal of 1022131133232 is 2323311312201.

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

It is not an unprimeable number, because it can be changed into a prime (1022131133239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2333319 + ... + 2736537.

It is an arithmetic number, because the mean of its divisors is an integer number (36014481384).

Almost surely, 21022131133232 is an apocalyptic number.

1022131133232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022131133232 is an abundant number, since it is smaller than the sum of its proper divisors (1859027377488).

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

1022131133232 is a wasteful number, since it uses less digits than its factorization.

1022131133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408042 (or 408036 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1022131133232 its reverse (2323311312201), we get a palindrome (3345442445433).

The spelling of 1022131133232 in words is "one trillion, twenty-two billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4801 9602 14403 19204 28806 38408 52811 57612 76816 105622 115224 158433 211244 230448 316866 403219 422488 633732 806438 844976 1209657 1267464 1612876 2419314 2534928 3225752 4435409 4838628 6451504 8870818 9677256 13306227 17741636 19354512 26612454 35483272 53224908 70966544 106449816 212899632 1935854419 3871708838 5807563257 7743417676 11615126514 15486835352 21294398609 23230253028 30973670704 42588797218 46460506056 63883195827 85177594436 92921012112 127766391654 170355188872 255532783308 340710377744 511065566616 1022131133232