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101025878940 = 22335726726423
BaseRepresentation
bin101111000010110011…
…1001001001110011100
3100122202200000101121000
41132011213021032130
53123400111111230
6114224411110300
710204341542130
oct1360547111634
9318680011530
10101025878940
1139932525138
12176b5442390
1396b020abbc
144c653c73c0
15296432db60
hex17859c939c

101025878940 has 96 divisors (see below), whose sum is σ = 359203138560. Its totient is φ = 23091628608.

The previous prime is 101025878923. The next prime is 101025878959. The reversal of 101025878940 is 49878520101.

101025878940 is a `hidden beast` number, since 10 + 10 + 2 + 587 + 8 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 13359432 + ... + 13366991.

It is an arithmetic number, because the mean of its divisors is an integer number (3741699360).

Almost surely, 2101025878940 is an apocalyptic number.

101025878940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101025878940 is an abundant number, since it is smaller than the sum of its proper divisors (258177259620).

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

101025878940 is a wasteful number, since it uses less digits than its factorization.

101025878940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26726448 (or 26726440 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 101025878940 in words is "one hundred one billion, twenty-five million, eight hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 26726423 53452846 80179269 106905692 133632115 160358538 187084961 240537807 267264230 320717076 374169922 400896345 481075614 534528460 561254883 721613421 748339844 801792690 935424805 962151228 1122509766 1202689035 1443226842 1603585380 1683764649 1870849610 2245019532 2405378070 2806274415 2886453684 3367529298 3608067105 3741699220 4810756140 5051293947 5612548830 6735058596 7216134210 8418823245 10102587894 11225097660 14432268420 16837646490 20205175788 25256469735 33675292980 50512939470 101025878940