Search a number
-
+
10121001211212 = 2233753430095241
BaseRepresentation
bin1001001101000111101010…
…1011101001010101001100
31022211120001222100122220120
42103101322223221111030
52311310302302224322
633305305044544540
72063134562563653
oct223217253512514
938746058318816
1010121001211212
113252324369a21
1211756269b2150
135855388b5158
1426dc0541a19a
1512840cc68a5c
hex9347aae954c

10121001211212 has 48 divisors (see below), whose sum is σ = 24711552224352. Its totient is φ = 3220553157120.

The previous prime is 10121001211199. The next prime is 10121001211219. The reversal of 10121001211212 is 21211210012101.

It is a happy number.

10121001211212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10121001211191 and 10121001211200.

It is not an unprimeable number, because it can be changed into a prime (10121001211219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215024089 + ... + 215071152.

It is an arithmetic number, because the mean of its divisors is an integer number (514824004674).

Almost surely, 210121001211212 is an apocalyptic number.

10121001211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121001211212 is an abundant number, since it is smaller than the sum of its proper divisors (14590551013140).

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

10121001211212 is a wasteful number, since it uses less digits than its factorization.

10121001211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430095338 (or 430095336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10121001211212 its reverse (21211210012101), we get a palindrome (31332211223313).

The spelling of 10121001211212 in words is "ten trillion, one hundred twenty-one billion, one million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 53 74 106 111 148 159 212 222 318 444 636 1961 3922 5883 7844 11766 23532 430095241 860190482 1290285723 1720380964 2580571446 5161142892 15913523917 22795047773 31827047834 45590095546 47740571751 63654095668 68385143319 91180191092 95481143502 136770286638 190962287004 273540573276 843416767601 1686833535202 2530250302803 3373667070404 5060500605606 10121001211212