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101020010 = 25713313581
BaseRepresentation
bin1100000010101…
…11000101101010
321001002100101212
412001113011222
5201330120020
614005113122
72334440660
oct601270552
9231070355
10101020010
1152028913
12299b87a2
1317c0cb70
14d5b8c30
158d06cc5
hex605716a

101020010 has 64 divisors (see below), whose sum is σ = 231081984. Its totient is φ = 30931200.

The previous prime is 101020009. The next prime is 101020037. The reversal of 101020010 is 10020101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101019976 and 101020003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26420 + ... + 30000.

It is an arithmetic number, because the mean of its divisors is an integer number (3610656).

Almost surely, 2101020010 is an apocalyptic number.

101020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101020010 is an abundant number, since it is smaller than the sum of its proper divisors (130061974).

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

101020010 is a wasteful number, since it uses less digits than its factorization.

101020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 101020010 is about 10050.8711065260. The cubic root of 101020010 is about 465.7317034559.

Adding to 101020010 its reverse (10020101), we get a palindrome (111040111).

Subtracting from 101020010 its reverse (10020101), we obtain a palindrome (90999909).

The spelling of 101020010 in words is "one hundred one million, twenty thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 31 35 62 65 70 91 130 155 182 217 310 403 434 455 806 910 1085 2015 2170 2821 3581 4030 5642 7162 14105 17905 25067 28210 35810 46553 50134 93106 111011 125335 222022 232765 250670 325871 465530 555055 651742 777077 1110110 1443143 1554154 1629355 2886286 3258710 3885385 7215715 7770770 10102001 14431430 20204002 50510005 101020010