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101114550040 = 23571572300149
BaseRepresentation
bin101111000101011100…
…1011001011100011000
3100122222211212100110211
41132022321121130120
53124040311100130
6114241255420504
710206466331350
oct1361271313430
9318884770424
10101114550040
1139978589039
121771b084734
1396c56b5cca
144c730a9b60
15296bee6a2a
hex178ae59718

101114550040 has 64 divisors (see below), whose sum is σ = 261665064000. Its totient is φ = 34447016448.

The previous prime is 101114550029. The next prime is 101114550109. The reversal of 101114550040 is 40055411101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101114549993 and 101114550020.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1106115 + ... + 1194034.

It is an arithmetic number, because the mean of its divisors is an integer number (4088516625).

Almost surely, 2101114550040 is an apocalyptic number.

101114550040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101114550040 is an abundant number, since it is smaller than the sum of its proper divisors (160550513960).

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

101114550040 is a wasteful number, since it uses less digits than its factorization.

101114550040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300324 (or 2300320 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 101114550040 its reverse (40055411101), we get a palindrome (141169961141).

The spelling of 101114550040 in words is "one hundred one billion, one hundred fourteen million, five hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 157 280 314 628 785 1099 1256 1570 2198 3140 4396 5495 6280 8792 10990 21980 43960 2300149 4600298 9200596 11500745 16101043 18401192 23001490 32202086 46002980 64404172 80505215 92005960 128808344 161010430 322020860 361123393 644041720 722246786 1444493572 1805616965 2527863751 2888987144 3611233930 5055727502 7222467860 10111455004 12639318755 14444935720 20222910008 25278637510 50557275020 101114550040