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10200201030 = 23252913129833
BaseRepresentation
bin10010111111111101…
…01011011101000110
3222022212110220022100
421133332223131012
5131342222413110
64404053412530
7510525164265
oct113776533506
928285426270
1010200201030
114364825008
121b8803a146
13c67315116
146ca9985dc
153ea756bc0
hex25ffab746

10200201030 has 96 divisors (see below), whose sum is σ = 27645377760. Its totient is φ = 2606123520.

The previous prime is 10200201029. The next prime is 10200201101. The reversal of 10200201030 is 3010200201.

It is a happy number.

It is a super-3 number, since 3×102002010303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326994 + ... + 356826.

It is an arithmetic number, because the mean of its divisors is an integer number (287972685).

Almost surely, 210200201030 is an apocalyptic number.

10200201030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200201030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822688880).

10200201030 is an abundant number, since it is smaller than the sum of its proper divisors (17445176730).

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

10200201030 is a wasteful number, since it uses less digits than its factorization.

10200201030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30006 (or 30003 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10200201030 its reverse (3010200201), we get a palindrome (13210401231).

The spelling of 10200201030 in words is "ten billion, two hundred million, two hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 131 145 174 261 262 290 393 435 522 655 786 870 1179 1305 1310 1965 2358 2610 3799 3930 5895 7598 11397 11790 18995 22794 29833 34191 37990 56985 59666 68382 89499 113970 149165 170955 178998 268497 298330 341910 447495 536994 865157 894990 1342485 1730314 2595471 2684970 3908123 4325785 5190942 7786413 7816246 8651570 11724369 12977355 15572826 19540615 23448738 25954710 35173107 38932065 39081230 58621845 70346214 77864130 113335567 117243690 175865535 226671134 340006701 351731070 566677835 680013402 1020020103 1133355670 1700033505 2040040206 3400067010 5100100515 10200201030