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1032012020120 = 235371793895561
BaseRepresentation
bin11110000010010001011…
…01011011100110011000
310122122210200200112120212
433001020231123212120
5113402030034120440
62110033315110252
7134363135301524
oct17011055334630
93578720615525
101032012020120
11368745976474
121480168a2388
137641a456193
1437d41b98d84
151bca1d29465
hexf048b5b998

1032012020120 has 64 divisors (see below), whose sum is σ = 2398107967200. Its totient is φ = 399403975680.

The previous prime is 1032012020119. The next prime is 1032012020129. The reversal of 1032012020120 is 210202102301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1032012020095 and 1032012020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032012020129) 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 15 ways as a sum of consecutive naturals, for example, 1682861 + ... + 2212700.

Almost surely, 21032012020120 is an apocalyptic number.

1032012020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032012020120 is an abundant number, since it is smaller than the sum of its proper divisors (1366095947080).

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

1032012020120 is a wasteful number, since it uses less digits than its factorization.

1032012020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895788 (or 3895784 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1032012020120 its reverse (210202102301), we get a palindrome (1242214122421).

The spelling of 1032012020120 in words is "one trillion, thirty-two billion, twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 179 185 296 358 370 716 740 895 1432 1480 1790 3580 6623 7160 13246 26492 33115 52984 66230 132460 264920 3895561 7791122 15582244 19477805 31164488 38955610 77911220 144135757 155822440 288271514 576543028 697305419 720678785 1153086056 1394610838 1441357570 2789221676 2882715140 3486527095 5578443352 5765430280 6973054190 13946108380 25800300503 27892216760 51600601006 103201202012 129001502515 206402404024 258003005030 516006010060 1032012020120