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101553400014 = 231123131510683
BaseRepresentation
bin101111010010100001…
…1011110100011001110
3100201010102122020110120
41132211003132203032
53130440132300024
6114353013445410
710223405441343
oct1364503364316
9321112566416
10101553400014
113a083279570
1217822040866
1397655aa851
144cb54a47ca
1529957d1479
hex17a50de8ce

101553400014 has 64 divisors (see below), whose sum is σ = 232969955328. Its totient is φ = 29211010400.

The previous prime is 101553400009. The next prime is 101553400043. The reversal of 101553400014 is 410004355101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56484 + ... + 454199.

It is an arithmetic number, because the mean of its divisors is an integer number (3640155552).

Almost surely, 2101553400014 is an apocalyptic number.

101553400014 is an abundant number, since it is smaller than the sum of its proper divisors (131416555314).

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

101553400014 is a wasteful number, since it uses less digits than its factorization.

101553400014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510853.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 101553400014 its reverse (410004355101), we get a palindrome (511557755115).

The spelling of 101553400014 in words is "one hundred one billion, five hundred fifty-three million, four hundred thousand, fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 131 138 253 262 393 506 759 786 1441 1518 2882 3013 4323 6026 8646 9039 18078 33143 66286 99429 198858 510683 1021366 1532049 3064098 5617513 11235026 11745709 16852539 23491418 33705078 35237127 66899473 70474254 129202799 133798946 200698419 258405598 387608397 401396838 735894203 775216794 1471788406 1538687879 2207682609 3077375758 4415365218 4616063637 9232127274 16925566669 33851133338 50776700007 101553400014