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1020001001200 = 24524162195183
BaseRepresentation
bin11101101011111001100…
…11000001111011110000
310121111210121211120010021
432311330303001323300
5113202430224014300
62100325413213224
7133456401312616
oct16657463017360
93544717746107
101020001001200
11363641a79155
12145824331214
1375254c340ac
143752290d6b6
151b7ec62dd1a
hexed7ccc1ef0

1020001001200 has 60 divisors (see below), whose sum is σ = 2510322016608. Its totient is φ = 398049164800.

The previous prime is 1020001001141. The next prime is 1020001001213. The reversal of 1020001001200 is 21001000201.

It is a super-3 number, since 3×10200010012003 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31081192 + ... + 31113991.

Almost surely, 21020001001200 is an apocalyptic number.

1020001001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020001001200 is an abundant number, since it is smaller than the sum of its proper divisors (1490321015408).

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

1020001001200 is a wasteful number, since it uses less digits than its factorization.

1020001001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62195242 (or 62195231 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1020001001200 its reverse (21001000201), we get a palindrome (1041002001401).

Subtracting from 1020001001200 its reverse (21001000201), we obtain a palindrome (999000000999).

The spelling of 1020001001200 in words is "one trillion, twenty billion, one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 62195183 124390366 248780732 310975915 497561464 621951830 995122928 1243903660 1554879575 2487807320 2550002503 3109759150 4975614640 5100005006 6219518300 10200010012 12439036600 12750012515 20400020024 24878073200 25500025030 40800040048 51000050060 63750062575 102000100120 127500125150 204000200240 255000250300 510000500600 1020001001200