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1020102220020 = 2235131307823359
BaseRepresentation
bin11101101100000101101…
…01001001100011110100
310121112001200022000020110
432312002311021203310
5113203132132020040
62100343430503020
7133462040542332
oct16660265114364
93545050260213
101020102220020
11363694122374
12145852204a70
137526cbb35a0
143753213ab52
151b806474980
hexed82d498f4

1020102220020 has 48 divisors (see below), whose sum is σ = 3076000542720. Its totient is φ = 251102084736.

The previous prime is 1020102219977. The next prime is 1020102220043. The reversal of 1020102220020 is 200222010201.

1020102220020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020102219978 and 1020102220005.

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, 653910900 + ... + 653912459.

It is an arithmetic number, because the mean of its divisors is an integer number (64083344640).

Almost surely, 21020102220020 is an apocalyptic number.

1020102220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020102220020 is an abundant number, since it is smaller than the sum of its proper divisors (2055898322700).

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

1020102220020 is a wasteful number, since it uses less digits than its factorization.

1020102220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307823384 (or 1307823382 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020102220020 its reverse (200222010201), we get a palindrome (1220324230221).

The spelling of 1020102220020 in words is "one trillion, twenty billion, one hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1307823359 2615646718 3923470077 5231293436 6539116795 7846940154 13078233590 15693880308 17001703667 19617350385 26156467180 34003407334 39234700770 51005111001 68006814668 78469401540 85008518335 102010222002 170017036670 204020444004 255025555005 340034073340 510051110010 1020102220020