Search a number
-
+
1120022200101 = 3737246184509
BaseRepresentation
bin10000010011000110100…
…001100111111100100101
310222001222021100220210110
4100103012201213330211
5121322301140400401
62214310414443233
7143630123422530
oct20230641477445
93861867326713
101120022200101
113a1aa9373302
12161099203519
1381804c5685c
143c2d06cba17
151e2036549d6
hex104c6867f25

1120022200101 has 48 divisors (see below), whose sum is σ = 1757899946880. Its totient is φ = 621356901120.

The previous prime is 1120022199949. The next prime is 1120022200103. The reversal of 1120022200101 is 1010022200211.

It is not a de Polignac number, because 1120022200101 - 213 = 1120022191909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120022200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13211035 + ... + 13295543.

It is an arithmetic number, because the mean of its divisors is an integer number (36622915560).

Almost surely, 21120022200101 is an apocalyptic number.

It is an amenable number.

1120022200101 is a deficient number, since it is larger than the sum of its proper divisors (637877746779).

1120022200101 is an equidigital number, since it uses as much as digits as its factorization.

1120022200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85054 (or 85017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1120022200101 its reverse (1010022200211), we get a palindrome (2130044400312).

The spelling of 1120022200101 in words is "one trillion, one hundred twenty billion, twenty-two million, two hundred thousand, one hundred one".

Divisors: 1 3 7 21 37 111 259 461 777 1369 1383 3227 4107 9583 9681 17057 28749 51171 84509 119399 253527 358197 591563 631109 1774689 1893327 3126833 4417763 9380499 13253289 21887831 38958649 65663493 115692821 116875947 272710543 347078463 809849747 818131629 1441470013 2429549241 4324410039 10090290091 30270870273 53334390481 160003171443 373340733367 1120022200101