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101522343340 = 2251129108714639
BaseRepresentation
bin101111010001100110…
…1000000010110101100
3100201001021012101201101
41132203031000112230
53130404204441330
6114345544052444
710222550452165
oct1364315002654
9321037171641
10101522343340
113a0677971a0
1217813764124
13975c025912
144cb12dc76c
152992be94ca
hex17a33405ac

101522343340 has 96 divisors (see below), whose sum is σ = 240836198400. Its totient is φ = 35608984320.

The previous prime is 101522343337. The next prime is 101522343353. The reversal of 101522343340 is 43343225101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101522343299 and 101522343308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6927741 + ... + 6942379.

It is an arithmetic number, because the mean of its divisors is an integer number (2508710400).

Almost surely, 2101522343340 is an apocalyptic number.

101522343340 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 101522343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120418099200).

101522343340 is an abundant number, since it is smaller than the sum of its proper divisors (139313855060).

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

101522343340 is a wasteful number, since it uses less digits than its factorization.

101522343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 101522343340 its reverse (43343225101), we get a palindrome (144865568441).

The spelling of 101522343340 in words is "one hundred one billion, five hundred twenty-two million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1087 1276 1595 2174 3190 4348 5435 6380 10870 11957 14639 21740 23914 29278 31523 47828 58556 59785 63046 73195 119570 126092 146390 157615 161029 239140 292780 315230 322058 346753 424531 630460 644116 693506 805145 849062 1387012 1610290 1698124 1733765 2122655 3220580 3467530 4245310 4669841 6935060 8490620 9339682 15912593 18679364 23349205 31825186 46698410 63650372 79562965 93396820 159125930 175038523 318251860 350077046 461465197 700154092 875192615 922930394 1750385230 1845860788 2307325985 3500770460 4614651970 5076117167 9229303940 10152234334 20304468668 25380585835 50761171670 101522343340