Search a number
-
+
110001330 = 23253189443
BaseRepresentation
bin1101000111001…
…11110010110010
321122222122110100
412203213302302
5211130020310
614525413230
72503665405
oct643476262
9248878410
10110001330
115710269a
1230a0a216
1319a35b5a
1410875d3c
1599ccec0
hex68e7cb2

110001330 has 96 divisors (see below), whose sum is σ = 299220480. Its totient is φ = 28005120.

The previous prime is 110001329. The next prime is 110001343. The reversal of 110001330 is 33100011.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 248089 + ... + 248531.

It is an arithmetic number, because the mean of its divisors is an integer number (3116880).

Almost surely, 2110001330 is an apocalyptic number.

110001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149610240).

110001330 is an abundant number, since it is smaller than the sum of its proper divisors (189219150).

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

110001330 is a wasteful number, since it uses less digits than its factorization.

110001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 110001330 is about 10488.1518867720. The cubic root of 110001330 is about 479.1439167859.

Adding to 110001330 its reverse (33100011), we get a palindrome (143101341).

The spelling of 110001330 in words is "one hundred ten million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 89 90 93 155 178 186 267 279 310 443 445 465 534 558 801 886 890 930 1329 1335 1395 1602 2215 2658 2670 2759 2790 3987 4005 4430 5518 6645 7974 8010 8277 13290 13733 13795 16554 19935 24831 27466 27590 39427 39870 41199 41385 49662 68665 78854 82398 82770 118281 123597 124155 137330 197135 205995 236562 247194 248310 354843 394270 411990 591405 617985 709686 1182810 1222237 1235970 1774215 2444474 3548430 3666711 6111185 7333422 11000133 12222370 18333555 22000266 36667110 55000665 110001330