Search a number
-
+
1020121111504 = 241119305060141
BaseRepresentation
bin11101101100000111111…
…01001101101111010000
310121112002222211210111001
432312003331031233100
5113203202001032004
62100345343431344
7133462360243465
oct16660375155720
93545088753431
101020121111504
113636a3855870
121458585b5554
1375273a99291
143753485766c
151b807e571a4
hexed83f4dbd0

1020121111504 has 40 divisors (see below), whose sum is σ = 2269647456480. Its totient is φ = 439286601600.

The previous prime is 1020121111403. The next prime is 1020121111507. The reversal of 1020121111504 is 4051111210201.

It is a super-2 number, since 2×10201211115042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020121111507) 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 7 ways as a sum of consecutive naturals, for example, 152526727 + ... + 152533414.

It is an arithmetic number, because the mean of its divisors is an integer number (56741186412).

Almost surely, 21020121111504 is an apocalyptic number.

It is an amenable number.

1020121111504 is an abundant number, since it is smaller than the sum of its proper divisors (1249526344976).

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

1020121111504 is a wasteful number, since it uses less digits than its factorization.

1020121111504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305060179 (or 305060173 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 1020121111504 its reverse (4051111210201), we get a palindrome (5071232321705).

The spelling of 1020121111504 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred eleven thousand, five hundred four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 305060141 610120282 1220240564 2440481128 3355661551 4880962256 5796142679 6711323102 11592285358 13422646204 23184570716 26845292408 46369141432 53690584816 63757569469 92738282864 127515138938 255030277876 510060555752 1020121111504