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1020143323023 = 311593794493079
BaseRepresentation
bin11101101100001010100…
…01111100011110001111
310121112011112122020221220
432312011101330132033
5113203223142314043
62100351455454423
7133463050113216
oct16660521743617
93545145566856
101020143323023
113637053466a0
12145863b27413
13752785751a6
143753779a07d
151b809d93483
hexed8547c78f

1020143323023 has 64 divisors (see below), whose sum is σ = 1516838400000. Its totient is φ = 604639365120.

The previous prime is 1020143323019. The next prime is 1020143323153. The reversal of 1020143323023 is 3203233410201.

It is not a de Polignac number, because 1020143323023 - 22 = 1020143323019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020143322984 and 1020143323002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020143323523) 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 63 ways as a sum of consecutive naturals, for example, 331321398 + ... + 331324476.

It is an arithmetic number, because the mean of its divisors is an integer number (23700600000).

Almost surely, 21020143323023 is an apocalyptic number.

1020143323023 is a deficient number, since it is larger than the sum of its proper divisors (496695076977).

1020143323023 is a wasteful number, since it uses less digits than its factorization.

1020143323023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1020143323023 its reverse (3203233410201), we get a palindrome (4223376733224).

The spelling of 1020143323023 in words is "one trillion, twenty billion, one hundred forty-three million, three hundred twenty-three thousand, twenty-three".

Divisors: 1 3 11 33 59 177 379 449 649 1137 1347 1947 3079 4169 4939 9237 12507 14817 22361 26491 33869 67083 79473 101607 170171 181661 245971 291401 510513 544983 737913 874203 1166941 1382471 1871881 1998271 3500823 4147413 5615643 5994813 10040089 12836351 15207181 30120267 38509053 45621543 68849519 81565789 110440979 206548557 244697367 331322937 523956509 757344709 897223679 1571869527 2272034127 2691671037 5763521599 17290564797 30913434031 92740302093 340047774341 1020143323023