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10010201100 = 22352169319709
BaseRepresentation
bin10010101001010011…
…11000110000001100
3221211121221220101220
421110221320300030
5131000102413400
64333145203340
7503030206524
oct112451706014
927747856356
1010010201100
114277552279
121b34490550
13c36b4c723
146ad65a684
153d8c257a0
hex254a78c0c

10010201100 has 72 divisors (see below), whose sum is σ = 28981426320. Its totient is φ = 2667674880.

The previous prime is 10010201099. The next prime is 10010201101. The reversal of 10010201100 is 110201001.

It is an interprime number because it is at equal distance from previous prime (10010201099) and next prime (10010201101).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10010201101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498046 + ... + 517754.

It is an arithmetic number, because the mean of its divisors is an integer number (402519810).

Almost surely, 210010201100 is an apocalyptic number.

10010201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010201100 is an abundant number, since it is smaller than the sum of its proper divisors (18971225220).

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

10010201100 is a wasteful number, since it uses less digits than its factorization.

10010201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21419 (or 21412 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10010201100 its reverse (110201001), we get a palindrome (10120402101).

Subtracting from 10010201100 its reverse (110201001), we obtain a palindrome (9900000099).

The spelling of 10010201100 in words is "ten billion, ten million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1693 3386 5079 6772 8465 10158 16930 19709 20316 25395 33860 39418 42325 50790 59127 78836 84650 98545 101580 118254 126975 169300 197090 236508 253950 295635 394180 492725 507900 591270 985450 1182540 1478175 1970900 2956350 5912700 33367337 66734674 100102011 133469348 166836685 200204022 333673370 400408044 500510055 667346740 834183425 1001020110 1668366850 2002040220 2502550275 3336733700 5005100550 10010201100