Search a number
-
+
100655110160 = 24511209954493
BaseRepresentation
bin101110110111110000…
…0110001100000010000
3100121210211100101102222
41131233200301200100
53122120202011120
6114123524200212
710162220214443
oct1355740614020
9317724311388
10100655110160
1139762205060
1217611239068
1396514626a7
144c2c07165a
1529419e1525
hex176f831810

100655110160 has 80 divisors (see below), whose sum is σ = 255424276800. Its totient is φ = 36583749120.

The previous prime is 100655110133. The next prime is 100655110169. The reversal of 100655110160 is 61011556001.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (100655110169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1819874 + ... + 1874366.

It is an arithmetic number, because the mean of its divisors is an integer number (3192803460).

Almost surely, 2100655110160 is an apocalyptic number.

100655110160 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 100655110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127712138400).

100655110160 is an abundant number, since it is smaller than the sum of its proper divisors (154769166640).

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

100655110160 is a wasteful number, since it uses less digits than its factorization.

100655110160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56616 (or 56610 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 100655110160 its reverse (61011556001), we get a palindrome (161666666161).

The spelling of 100655110160 in words is "one hundred billion, six hundred fifty-five million, one hundred ten thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2099 4198 8396 10495 16792 20990 23089 33584 41980 46178 54493 83960 92356 108986 115445 167920 184712 217972 230890 272465 369424 435944 461780 544930 599423 871888 923560 1089860 1198846 1847120 2179720 2397692 2997115 4359440 4795384 5994230 9590768 11988460 23976920 47953840 114380807 228761614 457523228 571904035 915046456 1143808070 1258188877 1830092912 2287616140 2516377754 4575232280 5032755508 6290944385 9150464560 10065511016 12581888770 20131022032 25163777540 50327555080 100655110160