Search a number
-
+
20121012002 = 2721335344741
BaseRepresentation
bin10010101111010011…
…100100011100100010
31220221021020022111202
4102233103210130202
5312201434341002
613124331041202
71311421531400
oct225723443442
956837208452
1020121012002
118595872143
123a965a0202
131b88797380
14d8c3c6470
157cb6c1502
hex4af4e4722

20121012002 has 48 divisors (see below), whose sum is σ = 37917771192. Its totient is φ = 7937233920.

The previous prime is 20121011983. The next prime is 20121012011. The reversal of 20121012002 is 20021012102.

It is a happy number.

20121012002 is digitally balanced in base 5, 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 5914994281 + 14206017721 = 76909^2 + 119189^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427352 + ... + 472092.

Almost surely, 220121012002 is an apocalyptic number.

20121012002 is a deficient number, since it is larger than the sum of its proper divisors (17796759190).

20121012002 is a wasteful number, since it uses less digits than its factorization.

20121012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45123 (or 45116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121012002 its reverse (20021012102), we get a palindrome (40142024104).

The spelling of 20121012002 in words is "twenty billion, one hundred twenty-one million, twelve thousand, two".

Divisors: 1 2 7 13 14 26 49 91 98 182 353 637 706 1274 2471 4589 4942 9178 17297 32123 34594 44741 64246 89482 224861 313187 449722 581633 626374 1163266 2192309 4071431 4384618 8142862 15793573 28500017 31587146 57000034 110555011 205316449 221110022 410632898 773885077 1437215143 1547770154 2874430286 10060506001 20121012002