Search a number
-
+
16231430100 = 223523710314197
BaseRepresentation
bin11110001110111011…
…11111011111010100
31112220012022002012210
433013131333133110
5231220221230400
611242343513420
71113141610434
oct170735773724
945805262183
1016231430100
11697a245746
12318ba58870
1316b89c6412
14add9b62c4
1564eeac950
hex3c777f7d4

16231430100 has 144 divisors (see below), whose sum is σ = 48703910528. Its totient is φ = 4170216960.

The previous prime is 16231430081. The next prime is 16231430101. The reversal of 16231430100 is 103413261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16231430101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136202 + ... + 1150398.

Almost surely, 216231430100 is an apocalyptic number.

16231430100 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 16231430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24351955264).

16231430100 is an abundant number, since it is smaller than the sum of its proper divisors (32472480428).

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

16231430100 is a wasteful number, since it uses less digits than its factorization.

16231430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14354 (or 14347 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 16231430100 its reverse (103413261), we get a palindrome (16334843361).

The spelling of 16231430100 in words is "sixteen billion, two hundred thirty-one million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 103 111 148 150 185 206 222 300 309 370 412 444 515 555 618 740 925 1030 1110 1236 1545 1850 2060 2220 2575 2775 3090 3700 3811 5150 5550 6180 7622 7725 10300 11100 11433 14197 15244 15450 19055 22866 28394 30900 38110 42591 45732 56788 57165 70985 76220 85182 95275 114330 141970 170364 190550 212955 228660 283940 285825 354925 381100 425910 525289 571650 709850 851820 1050578 1064775 1143300 1419700 1462291 1575867 2101156 2129550 2626445 2924582 3151734 4259100 4386873 5252890 5849164 6303468 7311455 7879335 8773746 10505780 13132225 14622910 15758670 17547492 21934365 26264450 29245820 31517340 36557275 39396675 43868730 52528900 54104767 73114550 78793350 87737460 108209534 109671825 146229100 157586700 162314301 216419068 219343650 270523835 324628602 438687300 541047670 649257204 811571505 1082095340 1352619175 1623143010 2705238350 3246286020 4057857525 5410476700 8115715050 16231430100