Search a number
-
+
10122000120221 = 1116728119608793
BaseRepresentation
bin1001001101001011011000…
…1110001011100110011101
31022211122122120222111110112
42103102312032023212131
52311314324012321341
633305552131015405
72063201412302063
oct223226616134635
938748576874415
1010122000120221
113252797208060
12117586543a565
1358566782c882
1426dc9bd62033
1512846a7d1aeb
hex934b638b99d

10122000120221 has 16 divisors (see below), whose sum is σ = 11147834694528. Its totient is φ = 9114166521600.

The previous prime is 10122000120173. The next prime is 10122000120223. The reversal of 10122000120221 is 12202100022101.

It is a cyclic number.

It is not a de Polignac number, because 10122000120221 - 226 = 10121933011357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122000120196 and 10122000120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122000120223) 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 15 ways as a sum of consecutive naturals, for example, 9288200 + ... + 10320593.

It is an arithmetic number, because the mean of its divisors is an integer number (696739668408).

Almost surely, 210122000120221 is an apocalyptic number.

10122000120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122000120221 is a deficient number, since it is larger than the sum of its proper divisors (1025834574307).

10122000120221 is a wasteful number, since it uses less digits than its factorization.

10122000120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19609252.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122000120221 its reverse (12202100022101), we get a palindrome (22324100142322).

The spelling of 10122000120221 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 11 167 281 1837 3091 46927 516197 19608793 215696723 3274668431 5510070833 36021352741 60610779163 920181829111 10122000120221