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2151434100 = 2235231733169
BaseRepresentation
bin1000000000111100…
…0100011101110100
312112221022011202110
42000033010131310
513401231342400
6553252411020
7104212613424
oct20017043564
95487264673
102151434100
11a04479312
12500616a70
13283958c3a
14165a38484
15c8d26e50
hex803c4774

2151434100 has 144 divisors (see below), whose sum is σ = 6515694080. Its totient is φ = 547430400.

The previous prime is 2151434083. The next prime is 2151434177. The reversal of 2151434100 is 14341512.

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, 677316 + ... + 680484.

Almost surely, 22151434100 is an apocalyptic number.

2151434100 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 2151434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257847040).

2151434100 is an abundant number, since it is smaller than the sum of its proper divisors (4364259980).

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

2151434100 is a wasteful number, since it uses less digits than its factorization.

2151434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2151434100 is about 46383.5541975817. The cubic root of 2151434100 is about 1290.9497842786.

Adding to 2151434100 its reverse (14341512), we get a palindrome (2165775612).

The spelling of 2151434100 in words is "two billion, one hundred fifty-one million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 73 75 93 100 124 146 150 155 186 219 292 300 310 365 372 438 465 620 730 775 876 930 1095 1460 1550 1825 1860 2190 2263 2325 3100 3169 3650 4380 4526 4650 5475 6338 6789 7300 9052 9300 9507 10950 11315 12676 13578 15845 19014 21900 22630 27156 31690 33945 38028 45260 47535 56575 63380 67890 79225 95070 98239 113150 135780 158450 169725 190140 196478 226300 231337 237675 294717 316900 339450 392956 462674 475350 491195 589434 678900 694011 925348 950700 982390 1156685 1178868 1388022 1473585 1964780 2313370 2455975 2776044 2947170 3470055 4626740 4911950 5783425 5894340 6940110 7171447 7367925 9823900 11566850 13880220 14342894 14735850 17350275 21514341 23133700 28685788 29471700 34700550 35857235 43028682 69401100 71714470 86057364 107571705 143428940 179286175 215143410 358572350 430286820 537858525 717144700 1075717050 2151434100