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10010102200 = 2352721099371
BaseRepresentation
bin10010101001010011…
…00000100110111000
3221211121202212201221
421110221200212320
5131000041232300
64333143121424
7503026315300
oct112451404670
927747685657
1010010102200
114277494a3a
121b34443274
13c36b166c7
146ad632600
153d8c0631a
hex254a609b8

10010102200 has 144 divisors (see below), whose sum is σ = 27324534600. Its totient is φ = 3400185600.

The previous prime is 10010102189. The next prime is 10010102239. The reversal of 10010102200 is 220101001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1063515 + ... + 1072885.

Almost surely, 210010102200 is an apocalyptic number.

10010102200 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 10010102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662267300).

10010102200 is an abundant number, since it is smaller than the sum of its proper divisors (17314432400).

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

10010102200 is a wasteful number, since it uses less digits than its factorization.

10010102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9510 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10010102200 its reverse (220101001), we get a palindrome (10230203201).

The spelling of 10010102200 in words is "ten billion, ten million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 109 140 175 196 200 218 245 280 350 392 436 490 545 700 763 872 980 1090 1225 1400 1526 1960 2180 2450 2725 3052 3815 4360 4900 5341 5450 6104 7630 9371 9800 10682 10900 15260 18742 19075 21364 21800 26705 30520 37484 38150 42728 46855 53410 65597 74968 76300 93710 106820 131194 133525 152600 187420 213640 234275 262388 267050 327985 374840 459179 468550 524776 534100 655970 918358 937100 1021439 1068200 1311940 1639925 1836716 1874200 2042878 2295895 2623880 3279850 3673432 4085756 4591790 5107195 6559700 7150073 8171512 9183580 10214390 11479475 13119400 14300146 18367160 20428780 22958950 25535975 28600292 35750365 40857560 45917900 50050511 51071950 57200584 71500730 91835800 100101022 102143900 143001460 178751825 200202044 204287800 250252555 286002920 357503650 400404088 500505110 715007300 1001010220 1251262775 1430014600 2002020440 2502525550 5005051100 10010102200