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101031231330 = 232519737315277
BaseRepresentation
bin101111000010111101…
…1100011111101100010
3100122210001002022200200
41132011323203331202
53123402443400310
6114225121530030
710204435203561
oct1360573437542
9318701068620
10101031231330
11399355504a7
12176b71a3916
1396b13631b3
144c65dbbbd8
152964a399c0
hex1785ee3f62

101031231330 has 96 divisors (see below), whose sum is σ = 264739750704. Its totient is φ = 26731289088.

The previous prime is 101031231271. The next prime is 101031231347. The reversal of 101031231330 is 33132130101.

It is a happy number.

101031231330 is a `hidden beast` number, since 1 + 0 + 10 + 312 + 313 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52845274161 + 48185957169 = 229881^2 + 219513^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6605652 + ... + 6620928.

Almost surely, 2101031231330 is an apocalyptic number.

101031231330 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 101031231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132369875352).

101031231330 is an abundant number, since it is smaller than the sum of its proper divisors (163708519374).

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

101031231330 is a wasteful number, since it uses less digits than its factorization.

101031231330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15860 (or 15857 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101031231330 its reverse (33132130101), we get a palindrome (134163361431).

The spelling of 101031231330 in words is "one hundred one billion, thirty-one million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 373 394 591 746 985 1119 1182 1773 1865 1970 2238 2955 3357 3546 3730 5595 5910 6714 8865 11190 15277 16785 17730 30554 33570 45831 73481 76385 91662 137493 146962 152770 220443 229155 274986 367405 440886 458310 661329 687465 734810 1102215 1322658 1374930 2204430 3009569 3306645 5698321 6019138 6613290 9028707 11396642 15047845 17094963 18057414 27086121 28491605 30095690 34189926 45143535 51284889 54172242 56983210 85474815 90287070 102569778 135430605 170949630 256424445 270861210 512848890 1122569237 2245138474 3367707711 5612846185 6735415422 10103123133 11225692370 16838538555 20206246266 33677077110 50515615665 101031231330