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1072824101052 = 223118617994309
BaseRepresentation
bin11111001110010010100…
…11001010100010111100
310210120010221211001200220
433213021103022202330
5120034120432213202
62140503143421340
7140336403253314
oct17471123124274
93716127731626
101072824101052
11383a89266980
12153b06754850
137a22282b3b2
1439cd4158444
151cd8ec72abc
hexf9c94ca8bc

1072824101052 has 48 divisors (see below), whose sum is σ = 2730885628800. Its totient is φ = 325090992960.

The previous prime is 1072824101047. The next prime is 1072824101081. The reversal of 1072824101052 is 2501014282701.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 11328474 + ... + 11422782.

It is an arithmetic number, because the mean of its divisors is an integer number (56893450600).

Almost surely, 21072824101052 is an apocalyptic number.

1072824101052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1072824101052 is an abundant number, since it is smaller than the sum of its proper divisors (1658061527748).

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

1072824101052 is a wasteful number, since it uses less digits than its factorization.

1072824101052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180506 (or 180504 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

Adding to 1072824101052 its reverse (2501014282701), we get a palindrome (3573838383753).

The spelling of 1072824101052 in words is "one trillion, seventy-two billion, eight hundred twenty-four million, one hundred one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 86179 94309 172358 188618 258537 282927 344716 377236 517074 565854 947969 1034148 1037399 1131708 1895938 2074798 2843907 3112197 3791876 4149596 5687814 6224394 11375628 12448788 8127455311 16254910622 24382365933 32509821244 48764731866 89402008421 97529463732 178804016842 268206025263 357608033684 536412050526 1072824101052