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2141430300 = 2232523736379
BaseRepresentation
bin111111110100011…
…1010001000011100
312112020110221010100
41333220322020130
513341201232200
6552254141100
7104031600012
oct17750721034
95466427110
102141430300
119a9866309
124b91b1790
13281865729
141645928b2
15c7eecd00
hex7fa3a21c

2141430300 has 108 divisors (see below), whose sum is σ = 6731244520. Its totient is φ = 569427840.

The previous prime is 2141430271. The next prime is 2141430329. The reversal of 2141430300 is 30341412.

It is an interprime number because it is at equal distance from previous prime (2141430271) and next prime (2141430329).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 332511 + ... + 338889.

Almost surely, 22141430300 is an apocalyptic number.

2141430300 is a gapful number since it is divisible by the number (20) 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 2141430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365622260).

2141430300 is an abundant number, since it is smaller than the sum of its proper divisors (4589814220).

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

2141430300 is a wasteful number, since it uses less digits than its factorization.

2141430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2141430300 is about 46275.5907579795. The cubic root of 2141430300 is about 1288.9457765165.

Adding to 2141430300 its reverse (30341412), we get a palindrome (2171771712).

The spelling of 2141430300 in words is "two billion, one hundred forty-one million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 373 450 746 900 1119 1492 1865 2238 3357 3730 4476 5595 6379 6714 7460 9325 11190 12758 13428 16785 18650 19137 22380 25516 27975 31895 33570 37300 38274 55950 57411 63790 67140 76548 83925 95685 111900 114822 127580 159475 167850 191370 229644 287055 318950 335700 382740 478425 574110 637900 956850 1148220 1435275 1913700 2379367 2870550 4758734 5741100 7138101 9517468 11896835 14276202 21414303 23793670 28552404 35690505 42828606 47587340 59484175 71381010 85657212 107071515 118968350 142762020 178452525 214143030 237936700 356905050 428286060 535357575 713810100 1070715150 2141430300