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231321102100 = 2252114116730713
BaseRepresentation
bin1101011101101111001…
…1111110011100010100
3211010002011110112020221
43113123303332130110
512242221200231400
6254133434004124
722466231632324
oct3273363763424
9733064415227
10231321102100
118a114805850
12389b8b76644
1318a762ca19a
14b2a5b81284
15603d05ac1a
hex35dbcfe714

231321102100 has 144 divisors (see below), whose sum is σ = 564333630336. Its totient is φ = 81571072000.

The previous prime is 231321102097. The next prime is 231321102163. The reversal of 231321102100 is 1201123132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7516344 + ... + 7547056.

It is an arithmetic number, because the mean of its divisors is an integer number (3918983544).

Almost surely, 2231321102100 is an apocalyptic number.

231321102100 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 231321102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282166815168).

231321102100 is an abundant number, since it is smaller than the sum of its proper divisors (333012528236).

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

231321102100 is a wasteful number, since it uses less digits than its factorization.

231321102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30946 (or 30939 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 231321102100 its reverse (1201123132), we get a palindrome (232522225232).

The spelling of 231321102100 in words is "two hundred thirty-one billion, three hundred twenty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 167 205 220 275 334 410 451 550 668 820 835 902 1025 1100 1670 1804 1837 2050 2255 3340 3674 4100 4175 4510 6847 7348 8350 9020 9185 11275 13694 16700 18370 22550 27388 30713 34235 36740 45100 45925 61426 68470 75317 91850 122852 136940 150634 153565 171175 183700 301268 307130 337843 342350 376585 614260 675686 684700 753170 767825 1259233 1351372 1506340 1535650 1689215 1882925 2518466 3071300 3378430 3765850 5036932 5129071 6296165 6756860 7531700 8446075 10258142 12592330 13851563 16892150 20516284 25184660 25645355 27703126 31480825 33784300 51290710 55406252 56419781 62961650 69257815 102581420 112839562 125923300 128226775 138515630 210291911 225679124 256453550 277031260 282098905 346289075 420583822 512907100 564197810 692578150 841167644 1051459555 1128395620 1385156300 1410494525 2102919110 2313211021 2820989050 4205838220 4626422042 5257297775 5641978100 9252844084 10514595550 11566055105 21029191100 23132110210 46264220420 57830275525 115660551050 231321102100