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1043214100 = 225229479751
BaseRepresentation
bin111110001011100…
…010111100010100
32200200222202201021
4332023202330110
54114030322400
6251303410524
734565113345
oct7613427424
92620882637
101043214100
1149595a215
12251453a44
1313818a966
149c79a0cc
15618ba71a
hex3e2e2f14

1043214100 has 72 divisors (see below), whose sum is σ = 2349849600. Its totient is φ = 401520000.

The previous prime is 1043214089. The next prime is 1043214101. The reversal of 1043214100 is 14123401.

1043214100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1043214101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388725 + ... + 1389475.

It is an arithmetic number, because the mean of its divisors is an integer number (32636800).

Almost surely, 21043214100 is an apocalyptic number.

1043214100 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 1043214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174924800).

1043214100 is an abundant number, since it is smaller than the sum of its proper divisors (1306635500).

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

1043214100 is a wasteful number, since it uses less digits than its factorization.

1043214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1043214100 is about 32298.8250560295. The cubic root of 1043214100 is about 1014.2020470183.

Adding to 1043214100 its reverse (14123401), we get a palindrome (1057337501).

The spelling of 1043214100 in words is "one billion, forty-three million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 479 580 725 751 958 1450 1502 1916 2395 2900 3004 3755 4790 7510 9580 11975 13891 15020 18775 21779 23950 27782 37550 43558 47900 55564 69455 75100 87116 108895 138910 217790 277820 347275 359729 435580 544475 694550 719458 1088950 1389100 1438916 1798645 2177900 3597290 7194580 8993225 10432141 17986450 20864282 35972900 41728564 52160705 104321410 208642820 260803525 521607050 1043214100