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10120313011023 = 3231107547619753
BaseRepresentation
bin1001001101000101000110…
…1010010111101101001111
31022211111022000101110201200
42103101101222113231033
52311302400112323043
633305112502240543
72063111535146265
oct223212152275517
938744260343650
1010120313011023
113252000949a36
121175474426153
135854591478c7
1426db7bc74435
151283bc6277d3
hex93451a97b4f

10120313011023 has 48 divisors (see below), whose sum is σ = 15258680626176. Its totient is φ = 6456378015360.

The previous prime is 10120313011007. The next prime is 10120313011033. The reversal of 10120313011023 is 32011031302101.

It is not a de Polignac number, because 10120313011023 - 24 = 10120313011007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120313010987 and 10120313011005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120313011033) 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 47 ways as a sum of consecutive naturals, for example, 16019715 + ... + 16639467.

It is an arithmetic number, because the mean of its divisors is an integer number (317889179712).

Almost surely, 210120313011023 is an apocalyptic number.

10120313011023 is a deficient number, since it is larger than the sum of its proper divisors (5138367615153).

10120313011023 is a wasteful number, since it uses less digits than its factorization.

10120313011023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620444 (or 620441 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10120313011023 its reverse (32011031302101), we get a palindrome (42131344313124).

The spelling of 10120313011023 in words is "ten trillion, one hundred twenty billion, three hundred thirteen million, eleven thousand, twenty-three".

Divisors: 1 3 9 31 93 107 279 321 547 963 1641 3317 4923 9951 16957 29853 50871 58529 152613 175587 526761 619753 1814399 1859259 5443197 5577777 16329591 19212343 57637029 66313571 172911087 198940713 339004891 596822139 1017014673 2055720701 3051044019 6167162103 10509151621 18501486309 31527454863 36273523337 94582364589 108820570011 326461710033 1124479223447 3373437670341 10120313011023