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1253321300 = 22527111391171
BaseRepresentation
bin100101010110100…
…0010101001010100
310020100100022121102
41022231002221110
510031322240200
6324211005232
743026024650
oct11255025124
93210308542
101253321300
11593515930
122ab899818
1316c87354a
14bc64da60
157506e6d5
hex4ab42a54

1253321300 has 144 divisors (see below), whose sum is σ = 3418114560. Its totient is φ = 387504000.

The previous prime is 1253321297. The next prime is 1253321341. The reversal of 1253321300 is 31233521.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1069715 + ... + 1070885.

Almost surely, 21253321300 is an apocalyptic number.

1253321300 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 1253321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709057280).

1253321300 is an abundant number, since it is smaller than the sum of its proper divisors (2164793260).

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

1253321300 is a wasteful number, since it uses less digits than its factorization.

1253321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1253321300 is about 35402.2781752813. The cubic root of 1253321300 is about 1078.1705711186.

Adding to 1253321300 its reverse (31233521), we get a palindrome (1284554821).

It can be divided in two parts, 12533 and 21300, that added together give a palindrome (33833).

The spelling of 1253321300 in words is "one billion, two hundred fifty-three million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 139 140 154 175 220 275 278 308 350 385 550 556 695 700 770 973 1100 1171 1390 1529 1540 1925 1946 2342 2780 3058 3475 3850 3892 4684 4865 5855 6116 6950 7645 7700 8197 9730 10703 11710 12881 13900 15290 16394 19460 21406 23420 24325 25762 29275 30580 32788 38225 40985 42812 48650 51524 53515 58550 64405 76450 81970 90167 97300 107030 117100 128810 152900 162769 163940 180334 204925 214060 257620 267575 322025 325538 360668 409850 450835 535150 644050 651076 813845 819700 901670 1070300 1139383 1288100 1627690 1790459 1803340 2254175 2278766 3255380 3580918 4069225 4508350 4557532 5696915 7161836 8138450 8952295 9016700 11393830 12533213 16276900 17904590 22787660 25066426 28484575 35809180 44761475 50132852 56969150 62666065 89522950 113938300 125332130 179045900 250664260 313330325 626660650 1253321300