Search a number
-
+
110233132100 = 225271354122391
BaseRepresentation
bin110011010101001101…
…0000001110001000100
3101112112100002022111022
41212222122001301010
53301224140211400
6122350154330312
710651452106610
oct1465232016104
9345470068438
10110233132100
1142827802773
1219444a29998
13a5198b49b0
14549a14c340
152d027e8b85
hex19aa681c44

110233132100 has 144 divisors (see below), whose sum is σ = 294964621056. Its totient is φ = 34820928000.

The previous prime is 110233132099. The next prime is 110233132109. The reversal of 110233132100 is 1231332011.

It is not an unprimeable number, because it can be changed into a prime (110233132109) 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, 4911905 + ... + 4934295.

It is an arithmetic number, because the mean of its divisors is an integer number (2048365424).

Almost surely, 2110233132100 is an apocalyptic number.

110233132100 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 110233132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147482310528).

110233132100 is an abundant number, since it is smaller than the sum of its proper divisors (184731488956).

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

110233132100 is a wasteful number, since it uses less digits than its factorization.

110233132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22966 (or 22959 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 110233132100 its reverse (1231332011), we get a palindrome (111464464111).

The spelling of 110233132100 in words is "one hundred ten billion, two hundred thirty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 541 650 700 910 1082 1300 1820 2164 2275 2705 3787 4550 5410 7033 7574 9100 10820 13525 14066 15148 18935 22391 27050 28132 35165 37870 44782 49231 54100 70330 75740 89564 94675 98462 111955 140660 156737 175825 189350 196924 223910 246155 291083 313474 351650 378700 447820 492310 559775 582166 626948 703300 783685 984620 1119550 1164332 1230775 1455415 1567370 2037581 2239100 2461550 2910830 3134740 3918425 4075162 4923100 5821660 7277075 7836850 8150324 10187905 12113531 14554150 15673700 20375810 24227062 29108300 40751620 48454124 50939525 60567655 84794717 101879050 121135310 157475903 169589434 203758100 242270620 302838275 314951806 339178868 423973585 605676550 629903612 787379515 847947170 1102331321 1211353100 1574759030 1695894340 2119867925 2204662642 3149518060 3936897575 4239735850 4409325284 5511656605 7873795150 8479471700 11023313210 15747590300 22046626420 27558283025 55116566050 110233132100