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1010442403134 = 232435922126799
BaseRepresentation
bin11101011010000110000…
…11110111110100111110
310120121010110122110121200
432231003003313310332
5113023341223400014
62052105115240330
7133000463500023
oct16550303676476
93517113573550
101010442403134
1135a587437a2a
121439b71490a6
1374390822bc8
1436c9724b54a
151b43d3b1a09
hexeb430f7d3e

1010442403134 has 48 divisors (see below), whose sum is σ = 2278175328000. Its totient is φ = 323405279568.

The previous prime is 1010442403111. The next prime is 1010442403141. The reversal of 1010442403134 is 4313042440101.

1010442403134 is a `hidden beast` number, since 1 + 0 + 104 + 4 + 240 + 313 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1010442403098 and 1010442403107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11017734 + ... + 11109065.

It is an arithmetic number, because the mean of its divisors is an integer number (47461986000).

Almost surely, 21010442403134 is an apocalyptic number.

1010442403134 is an abundant number, since it is smaller than the sum of its proper divisors (1267732924866).

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

1010442403134 is a wasteful number, since it uses less digits than its factorization.

1010442403134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22126909 (or 22126906 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1010442403134 its reverse (4313042440101), we get a palindrome (5323484843235).

The spelling of 1010442403134 in words is "one trillion, ten billion, four hundred forty-two million, four hundred three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 43 59 86 118 129 177 258 354 387 531 774 1062 2537 5074 7611 15222 22833 45666 22126799 44253598 66380397 132760794 199141191 398282382 951452357 1305481141 1902904714 2610962282 2854357071 3916443423 5708714142 7832886846 8563071213 11749330269 17126142426 23498660538 56135689063 112271378126 168407067189 336814134378 505221201567 1010442403134