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1025352100 = 2252191094951
BaseRepresentation
bin111101000111011…
…010000110100100
32122110101021122201
4331013122012210
54044442231400
6245424504244
734260230503
oct7507320644
92573337581
101025352100
1148686a233
1224747b084
13134575726
149a26a83a
156003d06a
hex3d1da1a4

1025352100 has 72 divisors (see below), whose sum is σ = 2364084800. Its totient is φ = 384912000.

The previous prime is 1025352073. The next prime is 1025352113. The reversal of 1025352100 is 12535201.

1025352100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204625 + ... + 209575.

Almost surely, 21025352100 is an apocalyptic number.

1025352100 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 1025352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182042400).

1025352100 is an abundant number, since it is smaller than the sum of its proper divisors (1338732700).

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

1025352100 is a wasteful number, since it uses less digits than its factorization.

1025352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1025352100 is about 32021.1195931685. The cubic root of 1025352100 is about 1008.3802748146.

Adding to 1025352100 its reverse (12535201), we get a palindrome (1037887301).

The spelling of 1025352100 in words is "one billion, twenty-five million, three hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 109 190 218 380 436 475 545 950 1090 1900 2071 2180 2725 4142 4951 5450 8284 9902 10355 10900 19804 20710 24755 41420 49510 51775 94069 99020 103550 123775 188138 207100 247550 376276 470345 495100 539659 940690 1079318 1881380 2158636 2351725 2698295 4703450 5396590 9406900 10253521 10793180 13491475 20507042 26982950 41014084 51267605 53965900 102535210 205070420 256338025 512676050 1025352100