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10012202000 = 2453191731523
BaseRepresentation
bin10010101001100011…
…00001010000010000
3221211202201120010022
421110301201100100
5131001110431000
64333300123012
7503053212203
oct112461412020
927752646108
1010012202000
114278699609
121b35096468
13c373a03a8
146ada1b93a
153d8ebd585
hex254c61410

10012202000 has 160 divisors (see below), whose sum is σ = 25647822720. Its totient is φ = 3769689600.

The previous prime is 10012201993. The next prime is 10012202021. The reversal of 10012202000 is 20221001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6573239 + ... + 6574761.

It is an arithmetic number, because the mean of its divisors is an integer number (160298892).

Almost surely, 210012202000 is an apocalyptic number.

10012202000 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 10012202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12823911360).

10012202000 is an abundant number, since it is smaller than the sum of its proper divisors (15635620720).

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

10012202000 is a wasteful number, since it uses less digits than its factorization.

10012202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10012202000 its reverse (20221001), we get a palindrome (10032423001).

The spelling of 10012202000 in words is "ten billion, twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 173 190 200 250 304 346 380 400 475 500 692 760 865 950 1000 1384 1520 1523 1730 1900 2000 2375 2768 3046 3287 3460 3800 4325 4750 6092 6574 6920 7600 7615 8650 9500 12184 13148 13840 15230 16435 17300 19000 21625 24368 26296 28937 30460 32870 34600 38000 38075 43250 52592 57874 60920 65740 69200 76150 82175 86500 115748 121840 131480 144685 152300 164350 173000 190375 231496 262960 263479 289370 304600 328700 346000 380750 410875 462992 526958 578740 609200 657400 723425 761500 821750 1053916 1157480 1314800 1317395 1446850 1523000 1643500 2107832 2314960 2634790 2893700 3046000 3287000 3617125 4215664 5006101 5269580 5787400 6574000 6586975 7234250 10012202 10539160 11574800 13173950 14468500 20024404 21078320 25030505 26347900 28937000 32934875 40048808 50061010 52695800 57874000 65869750 80097616 100122020 105391600 125152525 131739500 200244040 250305050 263479000 400488080 500610100 526958000 625762625 1001220200 1251525250 2002440400 2503050500 5006101000 10012202000