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10202011200010 = 2577431237158573
BaseRepresentation
bin1001010001110101011101…
…0000001110101000001010
31100010022011200221111002001
42110131113100032220022
52314122204331400020
633410423402101214
72102033230251220
oct224352720165012
940108150844061
1010202011200010
1132837153a1593
121189274aaa80a
13590079043876
14273acc382b10
1512a59ec3d50a
hex9475740ea0a

10202011200010 has 64 divisors (see below), whose sum is σ = 21032362271232. Its totient is φ = 3490278817536.

The previous prime is 10202011200001. The next prime is 10202011200019. The reversal of 10202011200010 is 1000211020201.

It is an interprime number because it is at equal distance from previous prime (10202011200001) and next prime (10202011200019).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10202011200010.

It is not an unprimeable number, because it can be changed into a prime (10202011200019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64257084 + ... + 64415656.

It is an arithmetic number, because the mean of its divisors is an integer number (328630660488).

Almost surely, 210202011200010 is an apocalyptic number.

10202011200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202011200010 is an abundant number, since it is smaller than the sum of its proper divisors (10830351071222).

10202011200010 is a wasteful number, since it uses less digits than its factorization.

10202011200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160567.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10202011200010 its reverse (1000211020201), we get a palindrome (11202222220211).

The spelling of 10202011200010 in words is "ten trillion, two hundred two billion, eleven million, two hundred thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 743 1237 1486 2474 3715 5201 6185 7430 8659 10402 12370 17318 26005 43295 52010 86590 158573 317146 792865 919091 1110011 1585730 1838182 2220022 4595455 5550055 6433637 9190910 11100110 12867274 32168185 64336370 117819739 196154801 235639478 392309602 589098695 824738173 980774005 1178197390 1373083607 1649476346 1961548010 2746167214 4123690865 6865418035 8247381730 13730836070 145743017143 291486034286 728715085715 1020201120001 1457430171430 2040402240002 5101005600005 10202011200010