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1010232230200 = 235237323935659
BaseRepresentation
bin11101011001101101000…
…10001000000100111000
310120120120211011120112221
432230312202020010320
5113022423422331300
62052032210413424
7132662332162654
oct16546642100470
93516524146487
101010232230200
1135a489836996
12143958891274
137435911641b
1436c7737ba64
151b429be831a
hexeb36888138

1010232230200 has 96 divisors (see below), whose sum is σ = 2356487456400. Its totient is φ = 402769935360.

The previous prime is 1010232230177. The next prime is 1010232230233. The reversal of 1010232230200 is 20322320101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178514971 + ... + 178520629.

Almost surely, 21010232230200 is an apocalyptic number.

1010232230200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010232230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178243728200).

1010232230200 is an abundant number, since it is smaller than the sum of its proper divisors (1346255226200).

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

1010232230200 is a wasteful number, since it uses less digits than its factorization.

1010232230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1010232230200 its reverse (20322320101), we get a palindrome (1030554550301).

The spelling of 1010232230200 in words is "one trillion, ten billion, two hundred thirty-two million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1492 1865 2393 2984 3730 4786 5659 7460 9325 9572 11318 11965 14920 18650 19144 22636 23930 28295 37300 45272 47860 56590 59825 74600 95720 113180 119650 141475 226360 239300 282950 478600 565900 892589 1131800 1785178 2110807 3570356 4221614 4462945 7140712 8443228 8925890 10554035 13541987 16886456 17851780 21108070 22314725 27083974 35703560 42216140 44629450 52770175 54167948 67709935 84432280 89258900 105540350 108335896 135419870 178517800 211080700 270839740 338549675 422161400 541679480 677099350 1354198700 2708397400 5051161151 10102322302 20204644604 25255805755 40409289208 50511611510 101023223020 126279028775 202046446040 252558057550 505116115100 1010232230200