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101031342522 = 231110127155927
BaseRepresentation
bin101111000010111101…
…1111111000110111010
3100122210001021222012220
41132011323333012322
53123403010430042
6114225124144510
710204436146005
oct1360573770672
9318701258186
10101031342522
1139935616aa0
12176b7238136
1396b13a19a6
144c6600a53c
152964a5c8ec
hex1785eff1ba

101031342522 has 64 divisors (see below), whose sum is σ = 223439966208. Its totient is φ = 30200040000.

The previous prime is 101031342473. The next prime is 101031342527. The reversal of 101031342522 is 225243130101.

It is a junction number, because it is equal to n+sod(n) for n = 101031342492 and 101031342501.

It is not an unprimeable number, because it can be changed into a prime (101031342527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1778523 + ... + 1834449.

It is an arithmetic number, because the mean of its divisors is an integer number (3491249472).

Almost surely, 2101031342522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031342522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111719983104).

101031342522 is an abundant number, since it is smaller than the sum of its proper divisors (122408623686).

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

101031342522 is a wasteful number, since it uses less digits than its factorization.

101031342522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56315.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 101031342522 its reverse (225243130101), we get a palindrome (326274472623).

The spelling of 101031342522 in words is "one hundred one billion, thirty-one million, three hundred forty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 271 303 542 606 813 1111 1626 2222 2981 3333 5962 6666 8943 17886 27371 54742 55927 82113 111854 164226 167781 301081 335562 602162 615197 903243 1230394 1806486 1845591 3691182 5648627 11297254 15156217 16945881 30312434 33891762 45468651 62134897 90937302 124269794 166718387 186404691 333436774 372809382 500155161 1000310322 1530777917 3061555834 4592333751 9184667502 16838557087 33677114174 50515671261 101031342522