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10104241140 = 22325710973571
BaseRepresentation
bin10010110100100001…
…00111101111110100
3222002011220122002100
421122100213233310
5131143141204030
64350344542100
7505251426660
oct113220475764
928064818070
1010104241140
114315642a14
121b5ba81930
13c50487516
146bbd398a0
153e20ee360
hex25a427bf4

10104241140 has 144 divisors (see below), whose sum is σ = 35349874560. Its totient is φ = 2288321280.

The previous prime is 10104241139. The next prime is 10104241141. The reversal of 10104241140 is 4114240101.

10104241140 is a `hidden beast` number, since 101 + 0 + 424 + 1 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (10104241139) and next prime (10104241141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104241141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100555 + ... + 174125.

It is an arithmetic number, because the mean of its divisors is an integer number (245485240).

Almost surely, 210104241140 is an apocalyptic number.

10104241140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674937280).

10104241140 is an abundant number, since it is smaller than the sum of its proper divisors (25245633420).

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

10104241140 is a wasteful number, since it uses less digits than its factorization.

10104241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73702 (or 73697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10104241140 its reverse (4114240101), we get a palindrome (14218481241).

The spelling of 10104241140 in words is "ten billion, one hundred four million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 109 126 140 180 210 218 252 315 327 420 436 545 630 654 763 981 1090 1260 1308 1526 1635 1962 2180 2289 3052 3270 3815 3924 4578 4905 6540 6867 7630 9156 9810 11445 13734 15260 19620 22890 27468 34335 45780 68670 73571 137340 147142 220713 294284 367855 441426 514997 662139 735710 882852 1029994 1103565 1324278 1471420 1544991 2059988 2207130 2574985 2648556 3089982 3310695 4414260 4634973 5149970 6179964 6621390 7724955 8019239 9269946 10299940 13242780 15449910 16038478 18539892 23174865 24057717 30899820 32076956 40096195 46349730 48115434 56134673 72173151 80192390 92699460 96230868 112269346 120288585 144346302 160384780 168404019 224538692 240577170 280673365 288692604 336808038 360865755 481154340 505212057 561346730 673616076 721731510 842020095 1010424114 1122693460 1443463020 1684040190 2020848228 2526060285 3368080380 5052120570 10104241140