Search a number
-
+
1020312123102 = 2321953527910663
BaseRepresentation
bin11101101100011110101…
…01110111011011011110
310121112121022021012010200
432312033111313123132
5113204044400414402
62100420325444330
7133500166643556
oct16661725673336
93545538235120
101020312123102
11363791659698
121458b05706a6
13752a45272ac
1437551d7a166
151b819ad821c
hexed8f5776de

1020312123102 has 96 divisors (see below), whose sum is σ = 2371605350400. Its totient is φ = 316034986176.

The previous prime is 1020312123079. The next prime is 1020312123113. The reversal of 1020312123102 is 2013212130201.

1020312123102 is a `hidden beast` number, since 10 + 20 + 312 + 12 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95681823 + ... + 95692485.

It is an arithmetic number, because the mean of its divisors is an integer number (24704222400).

Almost surely, 21020312123102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020312123102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185802675200).

1020312123102 is an abundant number, since it is smaller than the sum of its proper divisors (1351293227298).

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

1020312123102 is a wasteful number, since it uses less digits than its factorization.

1020312123102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16022 (or 16019 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1020312123102 its reverse (2013212130201), we get a palindrome (3033524253303).

The spelling of 1020312123102 in words is "one trillion, twenty billion, three hundred twelve million, one hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 477 954 1007 2014 3021 5279 6042 9063 10558 10663 15837 18126 21326 31674 31989 47511 63978 95022 95967 100301 191934 200602 202597 279787 300903 405194 559574 565139 601806 607791 839361 902709 1130278 1215582 1678722 1695417 1805418 1823373 2518083 3390834 3646746 5036166 5086251 5315953 10172502 10631906 10737641 15947859 21475282 31895718 32212923 47843577 56289977 64425846 95687154 96638769 112579954 168869931 193277538 337739862 506609793 1013219586 1069509563 2139019126 2983368781 3208528689 5966737562 6417057378 8950106343 9625586067 17900212686 19251172134 26850319029 53700638058 56684006839 113368013678 170052020517 340104041034 510156061551 1020312123102