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1231253000 = 23532942457
BaseRepresentation
bin100100101100011…
…0110111000001000
310011210211010120222
41021120312320020
510010200044000
6322102005212
742340322615
oct11130667010
93153733528
101231253000
1158201266a
122a4416808
13168117893
14b974750c
1573160a85
hex49636e08

1231253000 has 64 divisors (see below), whose sum is σ = 2980551600. Its totient is φ = 475507200.

The previous prime is 1231252993. The next prime is 1231253027. The reversal of 1231253000 is 3521321.

It can be written as a sum of positive squares in 8 ways, for example, as 226743364 + 1004509636 = 15058^2 + 31694^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1231253000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7772 + ... + 50228.

Almost surely, 21231253000 is an apocalyptic number.

1231253000 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 1231253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490275800).

1231253000 is an abundant number, since it is smaller than the sum of its proper divisors (1749298600).

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

1231253000 is a wasteful number, since it uses less digits than its factorization.

1231253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42507 (or 42493 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1231253000 is about 35089.2148672495. The cubic root of 1231253000 is about 1071.8049716679.

Adding to 1231253000 its reverse (3521321), we get a palindrome (1234774321).

The spelling of 1231253000 in words is "one billion, two hundred thirty-one million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 42457 84914 169828 212285 339656 424570 849140 1061425 1231253 1698280 2122850 2462506 4245700 4925012 5307125 6156265 8491400 9850024 10614250 12312530 21228500 24625060 30781325 42457000 49250120 61562650 123125300 153906625 246250600 307813250 615626500 1231253000