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10213202300 = 2252731671783
BaseRepresentation
bin10011000001100000…
…10001100101111100
3222100202221102200212
421200300101211330
5131404034433200
64405240211552
7511043534000
oct114060214574
928322842625
1010213202300
1143710a5064
121b90469bb8
13c69c17a92
146cc5c0700
153eb974035
hex260c1197c

10213202300 has 144 divisors (see below), whose sum is σ = 26015001600. Its totient is φ = 3478749120.

The previous prime is 10213202291. The next prime is 10213202303. The reversal of 10213202300 is 320231201.

It is a happy number.

It is a super-3 number, since 3×102132023003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213202303) 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, 5727209 + ... + 5728991.

Almost surely, 210213202300 is an apocalyptic number.

10213202300 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 10213202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007500800).

10213202300 is an abundant number, since it is smaller than the sum of its proper divisors (15801799300).

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

10213202300 is a wasteful number, since it uses less digits than its factorization.

10213202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10213202300 its reverse (320231201), we get a palindrome (10533433501).

The spelling of 10213202300 in words is "ten billion, two hundred thirteen million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 167 175 196 245 334 343 350 490 668 686 700 835 980 1169 1225 1372 1670 1715 1783 2338 2450 3340 3430 3566 4175 4676 4900 5845 6860 7132 8183 8350 8575 8915 11690 12481 16366 16700 17150 17830 23380 24962 29225 32732 34300 35660 40915 44575 49924 57281 58450 62405 81830 87367 89150 114562 116900 124810 163660 174734 178300 204575 229124 249620 286405 297761 312025 349468 409150 436835 572810 595522 611569 624050 818300 873670 1145620 1191044 1223138 1248100 1432025 1488805 1747340 2084327 2184175 2446276 2864050 2977610 3057845 4168654 4368350 5728100 5955220 6115690 7444025 8337308 8736700 10421635 12231380 14590289 14888050 15289225 20843270 29180578 29776100 30578450 41686540 52108175 58361156 61156900 72951445 102132023 104216350 145902890 204264046 208432700 291805780 364757225 408528092 510660115 729514450 1021320230 1459028900 2042640460 2553300575 5106601150 10213202300