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2102431104 = 27322379349
BaseRepresentation
bin111110101010000…
…1000110110000000
312102112002120021200
41331110020312000
513301210243404
6544342221200
7103046240514
oct17524106600
95375076250
102102431104
11989849674
124a8124800
1327675c597
1415d320144
15c4897839
hex7d508d80

2102431104 has 96 divisors (see below), whose sum is σ = 6313086000. Its totient is φ = 670331904.

The previous prime is 2102431099. The next prime is 2102431139. The reversal of 2102431104 is 4011342012.

It is a tau number, because it is divible by the number of its divisors (96).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13179 + ... + 66170.

Almost surely, 22102431104 is an apocalyptic number.

2102431104 is a gapful number since it is divisible by the number (24) 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 2102431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156543000).

2102431104 is an abundant number, since it is smaller than the sum of its proper divisors (4210654896).

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

2102431104 is a wasteful number, since it uses less digits than its factorization.

2102431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79392 (or 79377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2102431104 is about 45852.2747963501. The cubic root of 2102431104 is about 1281.0731365022.

Adding to 2102431104 its reverse (4011342012), we get a palindrome (6113773116).

The spelling of 2102431104 in words is "two billion, one hundred two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 79349 158698 238047 317396 476094 634792 714141 952188 1269584 1428282 1825027 1904376 2539168 2856564 3650054 3808752 5078336 5475081 5713128 7300108 7617504 10156672 10950162 11426256 14600216 15235008 16425243 21900324 22852512 29200432 30470016 32850486 43800648 45705024 58400864 65700972 87601296 91410048 116801728 131401944 175202592 233603456 262803888 350405184 525607776 700810368 1051215552 2102431104