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1002020322100 = 225272949360607
BaseRepresentation
bin11101001010011010001…
…00001011101100110100
310112210101112000102101111
432211031010023230310
5112404114200301400
62044153301004404
7132251666130640
oct16451504135464
93483345012344
101002020322100
11356a55392886
121422466b3704
137364aa09ac5
14366d88b1c20
151b0e8ce03ba
hexe94d10bb34

1002020322100 has 72 divisors (see below), whose sum is σ = 2570700464640. Its totient is φ = 331703272320.

The previous prime is 1002020322097. The next prime is 1002020322101. The reversal of 1002020322100 is 12230202001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002020322101) 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 23 ways as a sum of consecutive naturals, for example, 24660004 + ... + 24700603.

It is an arithmetic number, because the mean of its divisors is an integer number (35704173120).

Almost surely, 21002020322100 is an apocalyptic number.

1002020322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002020322100 is an abundant number, since it is smaller than the sum of its proper divisors (1568680142540).

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

1002020322100 is a wasteful number, since it uses less digits than its factorization.

1002020322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49360657 (or 49360650 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1002020322100 its reverse (12230202001), we get a palindrome (1014250524101).

The spelling of 1002020322100 in words is "one trillion, two billion, twenty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 49360607 98721214 197442428 246803035 345524249 493606070 691048498 987212140 1234015175 1382096996 1431457603 1727621245 2468030350 2862915206 3455242490 4936060700 5725830412 6910484980 7157288015 8638106225 10020203221 14314576030 17276212450 20040406442 28629152060 34552424900 35786440075 40080812884 50101016105 71572880150 100202032210 143145760300 200404064420 250505080525 501010161050 1002020322100