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1042122401034 = 23111310211189613
BaseRepresentation
bin11110010101000110101…
…01011110010100001010
310200121220022011002212020
433022203111132110022
5114033231313313114
62114424443425310
7135201523152651
oct17124325362412
93617808132766
101042122401034
11371a63a22280
12149b78825236
137736bc801b0
1438620852198
151c19473caa9
hexf2a355e50a

1042122401034 has 64 divisors (see below), whose sum is σ = 2451023584128. Its totient is φ = 291217017600.

The previous prime is 1042122400997. The next prime is 1042122401039. The reversal of 1042122401034 is 4301042212401.

1042122401034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10421224010343 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042122400995 and 1042122401013.

It is not an unprimeable number, because it can be changed into a prime (1042122401039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281212 + ... + 1470824.

It is an arithmetic number, because the mean of its divisors is an integer number (38297243502).

Almost surely, 21042122401034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042122401034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225511792064).

1042122401034 is an abundant number, since it is smaller than the sum of its proper divisors (1408901183094).

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

1042122401034 is a wasteful number, since it uses less digits than its factorization.

1042122401034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190663.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1042122401034 its reverse (4301042212401), we get a palindrome (5343164613435).

The spelling of 1042122401034 in words is "one trillion, forty-two billion, one hundred twenty-two million, four hundred one thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1021 2042 3063 6126 11231 13273 22462 26546 33693 39819 67386 79638 146003 292006 438009 876018 1189613 2379226 3568839 7137678 13085743 15464969 26171486 30929938 39257229 46394907 78514458 92789814 170114659 340229318 510343977 1020687954 1214594873 2429189746 3643784619 7287569238 13360543603 15789733349 26721087206 31579466698 40081630809 47369200047 80163261618 94738400094 173687066839 347374133678 521061200517 1042122401034