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201012001001010 = 23255342140880713
BaseRepresentation
bin101101101101000111000000…
…111010100100111000110010
3222100201120002222001111112100
4231231013000322210320302
5202321340034224013020
61551303345523041230
760224431526016633
oct5555070072447062
9870646088044470
10201012001001010
11590597902139a1
121a665580510216
13882147297ca44
14378d065c6988a
151838bb41c2a90
hexb6d1c0ea4e32

201012001001010 has 48 divisors (see below), whose sum is σ = 532492168702104. Its totient is φ = 52591819128576.

The previous prime is 201012001000981. The next prime is 201012001001011. The reversal of 201012001001010 is 10100100210102.

It is a happy number.

201012001001010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 154595726924409 + 46416274076601 = 12433653^2 + 6812949^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 201012001000983 and 201012001001001.

It is not an unprimeable number, because it can be changed into a prime (201012001001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21070435587 + ... + 21070445126.

Almost surely, 2201012001001010 is an apocalyptic number.

201012001001010 is an abundant number, since it is smaller than the sum of its proper divisors (331480167701094).

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

201012001001010 is a wasteful number, since it uses less digits than its factorization.

201012001001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42140880779 (or 42140880776 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201012001001010 its reverse (10100100210102), we get a palindrome (211112101211112).

The spelling of 201012001001010 in words is "two hundred one trillion, twelve billion, one million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 42140880713 84281761426 126422642139 210704403565 252845284278 379267926417 421408807130 632113210695 758535852834 1264226421390 1896339632085 2233466677789 3792679264170 4466933355578 6700400033367 11167333388945 13400800066734 20101200100101 22334666777890 33502000166835 40202400200202 67004000333670 100506000500505 201012001001010