Search a number
-
+
132101201120 = 2557227196197
BaseRepresentation
bin111101100000111011…
…0000101110011100000
3110121222100201022200112
41323001312011303200
54131020401413440
6140404135110452
712354406453100
oct1730166056340
9417870638615
10132101201120
1151029758689
1221728512428
13c5c32c32c5
146572589200
153682566965
hex1ec1d85ce0

132101201120 has 144 divisors (see below), whose sum is σ = 363234533760. Its totient is φ = 45267876864.

The previous prime is 132101201119. The next prime is 132101201191. The reversal of 132101201120 is 21102101231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 132101201095 and 132101201104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21313862 + ... + 21320058.

It is an arithmetic number, because the mean of its divisors is an integer number (2522462040).

Almost surely, 2132101201120 is an apocalyptic number.

132101201120 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 132101201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181617266880).

132101201120 is an abundant number, since it is smaller than the sum of its proper divisors (231133332640).

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

132101201120 is a wasteful number, since it uses less digits than its factorization.

132101201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 132101201120 its reverse (21102101231), we get a palindrome (153203302351).

The spelling of 132101201120 in words is "one hundred thirty-two billion, one hundred one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 2719 3920 5438 6197 7840 10876 12394 13595 19033 21752 24788 27190 30985 38066 43379 43504 49576 54380 61970 76132 86758 87008 95165 99152 108760 123940 133231 152264 173516 190330 198304 216895 217520 247880 266462 303653 304528 347032 380660 433790 435040 495760 532924 607306 609056 666155 694064 761320 867580 991520 1065848 1214612 1332310 1388128 1518265 1522640 1735160 2131696 2429224 2664620 3036530 3045280 3470320 4263392 4858448 5329240 6073060 6940640 9716896 10658480 12146120 16849643 21316960 24292240 33699286 48584480 67398572 84248215 117947501 134797144 168496430 235895002 269594288 336992860 471790004 539188576 589737505 673985720 825632507 943580008 1179475010 1347971440 1651265014 1887160016 2358950020 2695942880 3302530028 3774320032 4128162535 4717900040 6605060056 8256325070 9435800080 13210120112 16512650140 18871600160 26420240224 33025300280 66050600560 132101201120