Search a number
-
+
1020120313332 = 2234112619164309
BaseRepresentation
bin11101101100000111110…
…10001010110111110100
310121112002221100020121010
432312003322022313310
5113203201300011312
62100345314352220
7133462350410451
oct16660372126764
93545087306533
101020120313332
113636a336011a
1214585828b670
1375273879ba3
14375346ca828
151b807d4a93c
hexed83e8adf4

1020120313332 has 48 divisors (see below), whose sum is σ = 2438544427200. Its totient is φ = 331718135040.

The previous prime is 1020120313309. The next prime is 1020120313339. The reversal of 1020120313332 is 2333130210201.

It is a junction number, because it is equal to n+sod(n) for n = 1020120313299 and 1020120313308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020120313339) 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, 6126394 + ... + 6290702.

It is an arithmetic number, because the mean of its divisors is an integer number (50803008900).

Almost surely, 21020120313332 is an apocalyptic number.

1020120313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020120313332 is an abundant number, since it is smaller than the sum of its proper divisors (1418424113868).

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

1020120313332 is a wasteful number, since it uses less digits than its factorization.

1020120313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176976 (or 176974 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1020120313332 its reverse (2333130210201), we get a palindrome (3353250523533).

The spelling of 1020120313332 in words is "one trillion, twenty billion, one hundred twenty million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 12619 25238 37857 50476 75714 151428 164309 328618 492927 517379 657236 985854 1034758 1552137 1971708 2069516 3104274 6208548 6736669 13473338 20210007 26946676 40420014 80840028 2073415271 4146830542 6220245813 8293661084 12440491626 24880983252 85010026111 170020052222 255030078333 340040104444 510060156666 1020120313332