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101214224002340 = 225131154272504141
BaseRepresentation
bin10111000000110111000101…
…110111100010110100100100
3111021100222121021222211021122
4113000313011313202310210
5101231243212321033330
6555133101141033112
730214325552650001
oct2700670567426444
9437328537884248
10101214224002340
112a2827908887a9
12b427bb29b5798
1344625ca57bb87
141adcb1a4828a8
15ba7c330d95e5
hex5c0dc5de2d24

101214224002340 has 48 divisors (see below), whose sum is σ = 214186356990144. Its totient is φ = 40174018185600.

The previous prime is 101214224002321. The next prime is 101214224002391. The reversal of 101214224002340 is 43200422412101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39166670 + ... + 41670810.

It is an arithmetic number, because the mean of its divisors is an integer number (4462215770628).

Almost surely, 2101214224002340 is an apocalyptic number.

101214224002340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101214224002340 is an abundant number, since it is smaller than the sum of its proper divisors (112972132987804).

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

101214224002340 is a wasteful number, since it uses less digits than its factorization.

101214224002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519708 (or 2519706 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 101214224002340 its reverse (43200422412101), we get a palindrome (144414646414441).

The spelling of 101214224002340 in words is "one hundred one trillion, two hundred fourteen billion, two hundred twenty-four million, two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 2620 15427 30854 61708 77135 154270 308540 2020937 2504141 4041874 5008282 8083748 10016564 10104685 12520705 20209370 25041410 40418740 50082820 328042471 656084942 1312169884 1640212355 3280424710 6560849420 38631383207 77262766414 154525532828 193156916035 386313832070 772627664140 5060711200117 10121422400234 20242844800468 25303556000585 50607112001170 101214224002340