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10244342100 = 223521911171609
BaseRepresentation
bin10011000101001110…
…00100000101010100
3222102221112111110210
421202213010011110
5131440022421400
64412311445420
7511602320406
oct114247040524
928387474423
1010244342100
114387733933
121b9a986870
13c734cb7b5
146d27a8b76
153ee575950
hex2629c4154

10244342100 has 144 divisors (see below), whose sum is σ = 31247652800. Its totient is φ = 2584120320.

The previous prime is 10244342089. The next prime is 10244342113. The reversal of 10244342100 is 124344201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6366096 + ... + 6367704.

Almost surely, 210244342100 is an apocalyptic number.

10244342100 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 10244342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15623826400).

10244342100 is an abundant number, since it is smaller than the sum of its proper divisors (21003310700).

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

10244342100 is a wasteful number, since it uses less digits than its factorization.

10244342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10244342100 its reverse (124344201), we get a palindrome (10368686301).

The spelling of 10244342100 in words is "ten billion, two hundred forty-four million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1117 1140 1425 1609 1900 2234 2850 3218 3351 4468 4827 5585 5700 6436 6702 8045 9654 11170 13404 16090 16755 19308 21223 22340 24135 27925 30571 32180 33510 40225 42446 48270 55850 61142 63669 67020 80450 83775 84892 91713 96540 106115 111700 120675 122284 127338 152855 160900 167550 183426 212230 241350 254676 305710 318345 335100 366852 424460 458565 482700 530575 611420 636690 764275 917130 1061150 1273380 1528550 1591725 1797253 1834260 2122300 2292825 3057100 3183450 3594506 4585650 5391759 6366900 7189012 8986265 9171300 10783518 17972530 21567036 26958795 34147807 35945060 44931325 53917590 68295614 89862650 102443421 107835180 134793975 136591228 170739035 179725300 204886842 269587950 341478070 409773684 512217105 539175900 682956140 853695175 1024434210 1707390350 2048868420 2561085525 3414780700 5122171050 10244342100