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101114322140 = 22513388901239
BaseRepresentation
bin101111000101011100…
…0100001110011011100
3100122222211102202212002
41132022320201303130
53124040231302030
6114241250501432
710206464362046
oct1361270416334
9318884382762
10101114322140
1139978442897
121771ab94878
1396c5636360
144c7304aa96
15296be9e245
hex178ae21cdc

101114322140 has 24 divisors (see below), whose sum is σ = 228673929120. Its totient is φ = 37334518848.

The previous prime is 101114322121. The next prime is 101114322149. The reversal of 101114322140 is 41223411101.

It is a super-2 number, since 2×1011143221402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101114322149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194450360 + ... + 194450879.

It is an arithmetic number, because the mean of its divisors is an integer number (9528080380).

Almost surely, 2101114322140 is an apocalyptic number.

101114322140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101114322140 is an abundant number, since it is smaller than the sum of its proper divisors (127559606980).

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

101114322140 is a wasteful number, since it uses less digits than its factorization.

101114322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388901261 (or 388901259 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101114322140 its reverse (41223411101), we get a palindrome (142337733241).

The spelling of 101114322140 in words is "one hundred one billion, one hundred fourteen million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 388901239 777802478 1555604956 1944506195 3889012390 5055716107 7778024780 10111432214 20222864428 25278580535 50557161070 101114322140