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101140334040 = 23351492356479
BaseRepresentation
bin101111000110001101…
…1110000010111011000
3100200001122101022110210
41132030123300113120
53124113411142130
6114244020211120
710210231440354
oct1361433602730
9320048338423
10101140334040
1139991099a29
1217727839aa0
1396cab43005
144c7669c464
15296e3db5b0
hex178c6f05d8

101140334040 has 64 divisors (see below), whose sum is σ = 303446707200. Its totient is φ = 26968470912.

The previous prime is 101140334033. The next prime is 101140334107. The reversal of 101140334040 is 40433041101.

It is a junction number, because it is equal to n+sod(n) for n = 101140333998 and 101140334016.

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, 1762521 + ... + 1818999.

It is an arithmetic number, because the mean of its divisors is an integer number (4741354800).

Almost surely, 2101140334040 is an apocalyptic number.

101140334040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101140334040 is an abundant number, since it is smaller than the sum of its proper divisors (202306373160).

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

101140334040 is a wasteful number, since it uses less digits than its factorization.

101140334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71416 (or 71412 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101140334040 its reverse (40433041101), we get a palindrome (141573375141).

The spelling of 101140334040 in words is "one hundred one billion, one hundred forty million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 14923 29846 44769 56479 59692 74615 89538 112958 119384 149230 169437 179076 223845 225916 282395 298460 338874 358152 447690 451832 564790 596920 677748 847185 895380 1129580 1355496 1694370 1790760 2259160 3388740 6777480 842836117 1685672234 2528508351 3371344468 4214180585 5057016702 6742688936 8428361170 10114033404 12642541755 16856722340 20228066808 25285083510 33713444680 50570167020 101140334040