Search a number
-
+
1020121120005 = 351322913876367
BaseRepresentation
bin11101101100000111111…
…01001111110100000101
310121112002222212020010220
432312003331033310011
5113203202001320010
62100345343534553
7133462360310331
oct16660375176405
93545088766126
101020121120005
113636a3861199
121458585ba459
1375273aa0100
143753485a7c1
151b807e59970
hexed83f4fd05

1020121120005 has 48 divisors (see below), whose sum is σ = 1828350247680. Its totient is φ = 484895733504.

The previous prime is 1020121119991. The next prime is 1020121120013. The reversal of 1020121120005 is 5000211210201.

It is not a de Polignac number, because 1020121120005 - 213 = 1020121111813 is a prime.

It is a super-2 number, since 2×10201211200052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6864669 + ... + 7011698.

It is an arithmetic number, because the mean of its divisors is an integer number (38090630160).

Almost surely, 21020121120005 is an apocalyptic number.

1020121120005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020121120005 is a deficient number, since it is larger than the sum of its proper divisors (808229127675).

1020121120005 is a wasteful number, since it uses less digits than its factorization.

1020121120005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13876430 (or 13876417 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 1020121120005 its reverse (5000211210201), we get a palindrome (6020332330206).

The spelling of 1020121120005 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred twenty thousand, five".

Divisors: 1 3 5 13 15 29 39 65 87 145 169 195 377 435 507 845 1131 1885 2535 4901 5655 14703 24505 73515 13876367 41629101 69381835 180392771 208145505 402414643 541178313 901963855 1207243929 2012073215 2345106023 2705891565 5231390359 6036219645 7035318069 11725530115 15694171077 26156951795 35176590345 68008074667 78470855385 204024224001 340040373335 1020121120005