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1010042134024 = 237211234239827
BaseRepresentation
bin11101011001010110011…
…00111101111000001000
310120120002120110200121211
432230223030331320020
5113022031241242044
62052001300142504
7132654533324500
oct16545314757010
93516076420554
101010042134024
1135a3a14a8910
12143905097a34
1374328918c91
1436c5a016a00
151b418198634
hexeb2b33de08

1010042134024 has 48 divisors (see below), whose sum is σ = 2403300635280. Its totient is φ = 393522907680.

The previous prime is 1010042134019. The next prime is 1010042134027. The reversal of 1010042134024 is 4204312400101.

It is a happy number.

It is a super-2 number, since 2×10100421340242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1010042133986 and 1010042134004.

It is not an unprimeable number, because it can be changed into a prime (1010042134027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117115602 + ... + 117124225.

It is an arithmetic number, because the mean of its divisors is an integer number (50068763235).

Almost surely, 21010042134024 is an apocalyptic number.

1010042134024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1010042134024 is an abundant number, since it is smaller than the sum of its proper divisors (1393258501256).

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

1010042134024 is a wasteful number, since it uses less digits than its factorization.

1010042134024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234239858 (or 234239847 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1010042134024 its reverse (4204312400101), we get a palindrome (5214354534125).

It can be divided in two parts, 10100 and 42134024, that added together give a palindrome (42144124).

The spelling of 1010042134024 in words is "one trillion, ten billion, forty-two million, one hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 4312 234239827 468479654 936959308 1639678789 1873918616 2576638097 3279357578 5153276194 6558715156 10306552388 11477751523 13117430312 18036466679 20613104776 22955503046 36072933358 45911006092 72145866716 91822012184 126255266753 144291733432 252510533506 505021067012 1010042134024