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1002123132500 = 2254728180597
BaseRepresentation
bin11101001010100110011…
…00010111111001010100
310112210122200110201202002
432211103030113321110
5112404322010220000
62044211412334432
7132254355036500
oct16452314277124
93483580421662
101002123132500
11356aa8423856
12142275014418
13736660c5869
14367083d5300
151b102d4c8d5
hexe953317e54

1002123132500 has 90 divisors (see below), whose sum is σ = 2549229768162. Its totient is φ = 343585032000.

The previous prime is 1002123132467. The next prime is 1002123132559. The reversal of 1002123132500 is 52313212001.

It can be written as a sum of positive squares in 5 ways, for example, as 274288923076 + 727834209424 = 523726^2 + 853132^2 .

It is a super-2 number, since 2×10021231325002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3967799 + ... + 4212798.

Almost surely, 21002123132500 is an apocalyptic number.

1002123132500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002123132500 is an abundant number, since it is smaller than the sum of its proper divisors (1547106635662).

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

1002123132500 is an equidigital number, since it uses as much as digits as its factorization.

1002123132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180635 (or 8180611 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1002123132500 its reverse (52313212001), we get a palindrome (1054436344501).

The spelling of 1002123132500 in words is "one trillion, two billion, one hundred twenty-three million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 625 700 875 980 1225 1250 1750 2450 2500 3500 4375 4900 6125 8750 12250 17500 24500 30625 61250 122500 8180597 16361194 32722388 40902985 57264179 81805970 114528358 163611940 204514925 229056716 286320895 400849253 409029850 572641790 801698506 818059700 1022574625 1145283580 1431604475 1603397012 2004246265 2045149250 2863208950 4008492530 4090298500 5112873125 5726417900 7158022375 8016985060 10021231325 10225746250 14316044750 20042462650 20451492500 28632089500 35790111875 40084925300 50106156625 71580223750 100212313250 143160447500 200424626500 250530783125 501061566250 1002123132500