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1002003223100 = 2252111675454563
BaseRepresentation
bin11101001010011000000…
…10111101001000111100
310112210100022211200222012
432211030002331020330
5112404100311114400
62044151450310352
7132251400603425
oct16451402751074
93483308750865
101002003223100
11356a46774080
12142240a283b8
1373647300c59
14366d650064c
151b0e7563d35
hexe94c0bd23c

1002003223100 has 72 divisors (see below), whose sum is σ = 2386219022208. Its totient is φ = 362182916800.

The previous prime is 1002003223097. The next prime is 1002003223183. The reversal of 1002003223100 is 13223002001.

It is a happy number.

It is a super-2 number, since 2×10020032231002 (a number of 25 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2543582 + ... + 2910981.

It is an arithmetic number, because the mean of its divisors is an integer number (33141930864).

Almost surely, 21002003223100 is an apocalyptic number.

1002003223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002003223100 is an abundant number, since it is smaller than the sum of its proper divisors (1384215799108).

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

1002003223100 is a wasteful number, since it uses less digits than its factorization.

1002003223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454755 (or 5454748 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1002003223100 its reverse (13223002001), we get a palindrome (1015226225101).

The spelling of 1002003223100 in words is "one trillion, two billion, three million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 167 220 275 334 550 668 835 1100 1670 1837 3340 3674 4175 7348 8350 9185 16700 18370 36740 45925 91850 183700 5454563 10909126 21818252 27272815 54545630 60000193 109091260 120000386 136364075 240000772 272728150 300000965 545456300 600001930 910912021 1200003860 1500004825 1821824042 3000009650 3643648084 4554560105 6000019300 9109120210 10020032231 18218240420 20040064462 22772800525 40080128924 45545601050 50100161155 91091202100 100200322310 200400644620 250500805775 501001611550 1002003223100