Search a number
-
+
10120213332 = 2233101927779
BaseRepresentation
bin10010110110011011…
…00011001101010100
3222010021222002211000
421123031203031110
5131211233311312
64352115143300
7505534252065
oct113315431524
928107862730
1010120213332
114323662079
121b652a4b30
13c5388a518
146c00d656c
153e3706adc
hex25b363354

10120213332 has 48 divisors (see below), whose sum is σ = 26497396800. Its totient is φ = 3340000800.

The previous prime is 10120213321. The next prime is 10120213343. The reversal of 10120213332 is 23331202101.

10120213332 is a `hidden beast` number, since 1 + 0 + 120 + 213 + 332 = 666.

10120213332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10120213321) and next prime (10120213343).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 452982 + ... + 474797.

It is an arithmetic number, because the mean of its divisors is an integer number (552029100).

Almost surely, 210120213332 is an apocalyptic number.

10120213332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120213332 is an abundant number, since it is smaller than the sum of its proper divisors (16377183468).

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

10120213332 is a wasteful number, since it uses less digits than its factorization.

10120213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927893 (or 927885 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10120213332 its reverse (23331202101), we get a palindrome (33451415433).

The spelling of 10120213332 in words is "ten billion, one hundred twenty million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 10908 927779 1855558 2783337 3711116 5566674 8350011 11133348 16700022 25050033 33400044 50100066 93705679 100200132 187411358 281117037 374822716 562234074 843351111 1124468148 1686702222 2530053333 3373404444 5060106666 10120213332