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1021145300 = 2252744253
BaseRepresentation
bin111100110111010…
…111000011010100
32122011110120000022
4330313113003110
54042403122200
6245154404312
734206410000
oct7467270324
92564416008
101021145300
1148445663a
12245b90698
131337319b6
1499893700
155e9ab885
hex3cdd70d4

1021145300 has 90 divisors (see below), whose sum is σ = 2585653518. Its totient is φ = 350024640.

The previous prime is 1021145269. The next prime is 1021145317. The reversal of 1021145300 is 35411201.

It can be written as a sum of positive squares in 3 ways, for example, as 470596 + 1020674704 = 686^2 + 31948^2 .

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 29 ways as a sum of consecutive naturals, for example, 237974 + ... + 242226.

Almost surely, 21021145300 is an apocalyptic number.

1021145300 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 1021145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292826759).

1021145300 is an abundant number, since it is smaller than the sum of its proper divisors (1564508218).

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

1021145300 is an equidigital number, since it uses as much as digits as its factorization.

1021145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1021145300 is about 31955.3641819335. The cubic root of 1021145300 is about 1006.9993284344. Note that the first 3 decimals are identical.

Adding to 1021145300 its reverse (35411201), we get a palindrome (1056556501).

The spelling of 1021145300 in words is "one billion, twenty-one million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2401 2450 3430 4253 4802 4900 6860 8506 8575 9604 12005 17012 17150 21265 24010 29771 34300 42530 48020 59542 60025 85060 106325 119084 120050 148855 208397 212650 240100 297710 416794 425300 595420 744275 833588 1041985 1458779 1488550 2083970 2917558 2977100 4167940 5209925 5835116 7293895 10211453 10419850 14587790 20422906 20839700 29175580 36469475 40845812 51057265 72938950 102114530 145877900 204229060 255286325 510572650 1021145300