Search a number
-
+
1120105115031 = 37168541316471
BaseRepresentation
bin10000010011001011011…
…101111010110110010111
310222002012001101102200210
4100103023131322312113
5121322433402140111
62214322535540503
7143632151246160
oct20231335726627
93862161342623
101120105115031
113a2041155541
12161100b2a733
1381819197946
143c2db712767
151e20aa820a6
hex104cb77ad97

1120105115031 has 16 divisors (see below), whose sum is σ = 1706842362368. Its totient is φ = 640054245600.

The previous prime is 1120105115023. The next prime is 1120105115047. The reversal of 1120105115031 is 1305115010211.

It is not a de Polignac number, because 1120105115031 - 23 = 1120105115023 is a prime.

It is a super-2 number, since 2×11201051150312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1120105114989 and 1120105115007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120105115531) 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, 3381126 + ... + 3697596.

It is an arithmetic number, because the mean of its divisors is an integer number (106677647648).

Almost surely, 21120105115031 is an apocalyptic number.

1120105115031 is a deficient number, since it is larger than the sum of its proper divisors (586737247337).

1120105115031 is a wasteful number, since it uses less digits than its factorization.

1120105115031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485022.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 1120105115031 in words is "one trillion, one hundred twenty billion, one hundred five million, one hundred fifteen thousand, thirty-one".

Divisors: 1 3 7 21 168541 316471 505623 949413 1179787 2215297 3539361 6645891 53338338811 160015016433 373368371677 1120105115031