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1032141213020 = 225371606186843
BaseRepresentation
bin11110000010100000110…
…10010000110101011100
310122200010200210012221002
433001100122100311130
5113402311122304040
62110054212125432
7134366264361311
oct17012032206534
93580120705832
101032141213020
11368801896a65
12148052006878
137643b14b498
1437d54dc8d08
151bcad348a15
hexf050690d5c

1032141213020 has 48 divisors (see below), whose sum is σ = 2226241771488. Its totient is φ = 401668565760.

The previous prime is 1032141213011. The next prime is 1032141213023. The reversal of 1032141213020 is 203121412301.

It is a super-2 number, since 2×10321412130202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1032141212983 and 1032141213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032141213023) by changing a digit.

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, 11841719 + ... + 11928561.

It is an arithmetic number, because the mean of its divisors is an integer number (46380036906).

Almost surely, 21032141213020 is an apocalyptic number.

1032141213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032141213020 is an abundant number, since it is smaller than the sum of its proper divisors (1194100558468).

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

1032141213020 is a wasteful number, since it uses less digits than its factorization.

1032141213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102950 (or 102948 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1032141213020 its reverse (203121412301), we get a palindrome (1235262625321).

The spelling of 1032141213020 in words is "one trillion, thirty-two billion, one hundred forty-one million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 16061 32122 64244 80305 86843 160610 173686 321220 347372 434215 594257 868430 1188514 1736860 2377028 2971285 3213191 5942570 6426382 11885140 12852764 16065955 32131910 64263820 1394785423 2789570846 5579141692 6973927115 13947854230 27895708460 51607060651 103214121302 206428242604 258035303255 516070606510 1032141213020