Search a number
-
+
103316012610150 = 235211327892185493
BaseRepresentation
bin10111011111011100100010…
…001110110011001001100110
3111112210220200120001201011010
4113133130202032303021212
5102020212143212011100
61003422415421123050
730522223051232424
oct2737344216631146
9445726616051133
10103316012610150
112aa1309074815a
12b7074036b9486
1345858730545a2
141b72743742114
15be2747359750
hex5df7223b3266

103316012610150 has 96 divisors (see below), whose sum is σ = 258583978450080. Its totient is φ = 27297319598080.

The previous prime is 103316012610121. The next prime is 103316012610157. The reversal of 103316012610150 is 51016210613301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103316012610157) 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, 46180804 + ... + 48366296.

It is an arithmetic number, because the mean of its divisors is an integer number (2693583108855).

Almost surely, 2103316012610150 is an apocalyptic number.

103316012610150 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 103316012610150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129291989225040).

103316012610150 is an abundant number, since it is smaller than the sum of its proper divisors (155267965839930).

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

103316012610150 is a wasteful number, since it uses less digits than its factorization.

103316012610150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188410 (or 2188405 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 103316012610150 in words is "one hundred three trillion, three hundred sixteen billion, twelve million, six hundred ten thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 150 226 339 565 678 1130 1695 2789 2825 3390 5578 5650 8367 8475 13945 16734 16950 27890 41835 69725 83670 139450 209175 315157 418350 630314 945471 1575785 1890942 2185493 3151570 4370986 4727355 6556479 7878925 9454710 10927465 13112958 15757850 21854930 23636775 32782395 47273550 54637325 65564790 109274650 163911975 246960709 327823950 493921418 740882127 1234803545 1481764254 2469607090 3704410635 6095339977 6174017725 7408821270 12190679954 12348035450 18286019931 18522053175 30476699885 36572039862 37044106350 60953399770 91430099655 152383499425 182860199310 304766998850 457150498275 688773417401 914300996550 1377546834802 2066320252203 3443867087005 4132640504406 6887734174010 10331601261015 17219335435025 20663202522030 34438670870050 51658006305075 103316012610150