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1075221103032 = 233341121411597
BaseRepresentation
bin11111010010110000010…
…11000000000110111000
310210210100000012101021000
433221120023000012320
5120104023100244112
62141541051445000
7140452660402266
oct17513013000670
93723300171230
101075221103032
11384aa9310a4a
12154475456760
137a51530756b
143a080637436
151ce804057dc
hexfa582c01b8

1075221103032 has 64 divisors (see below), whose sum is σ = 3059572269600. Its totient is φ = 349665396480.

The previous prime is 1075221102971. The next prime is 1075221103051. The reversal of 1075221103032 is 2303011225701.

1075221103032 is a `hidden beast` number, since 1 + 0 + 7 + 522 + 1 + 103 + 0 + 32 = 666.

It is a super-2 number, since 2×10752211030322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1075221102987 and 1075221103005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60696943 + ... + 60714654.

Almost surely, 21075221103032 is an apocalyptic number.

1075221103032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1075221103032 is an abundant number, since it is smaller than the sum of its proper divisors (1984351166568).

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

1075221103032 is a wasteful number, since it uses less digits than its factorization.

1075221103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121411653 (or 121411643 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 1075221103032 its reverse (2303011225701), we get a palindrome (3378232328733).

The spelling of 1075221103032 in words is "one trillion, seventy-five billion, two hundred twenty-one million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 121411597 242823194 364234791 485646388 728469582 971292776 1092704373 1456939164 2185408746 2913878328 3278113119 4370817492 4977875477 6556226238 8741634984 9955750954 13112452476 14933626431 19911501908 26224904952 29867252862 39823003816 44800879293 59734505724 89601758586 119469011448 134402637879 179203517172 268805275758 358407034344 537610551516 1075221103032