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1020013114134 = 237222715283843
BaseRepresentation
bin11101101011111011000…
…01001111001100010110
310121111211110121221221110
432311331201033030112
5113202441324123014
62100330524555450
7133456606262400
oct16657541171426
93544743557843
101020013114134
113636488a1843
121458283b2b86
13752575b5601
1437524383b70
151b7ed722d59
hexed7d84f316

1020013114134 has 48 divisors (see below), whose sum is σ = 2383546039488. Its totient is φ = 290148456528.

The previous prime is 1020013114093. The next prime is 1020013114147. The reversal of 1020013114134 is 4314113100201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1020013114134.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7575184 + ... + 7708659.

It is an arithmetic number, because the mean of its divisors is an integer number (49657209156).

Almost surely, 21020013114134 is an apocalyptic number.

1020013114134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1020013114134 is an abundant number, since it is smaller than the sum of its proper divisors (1363532925354).

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

1020013114134 is a wasteful number, since it uses less digits than its factorization.

1020013114134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15284089 (or 15284082 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1020013114134 its reverse (4314113100201), we get a palindrome (5334126214335).

The spelling of 1020013114134 in words is "one trillion, twenty billion, thirteen million, one hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 227 294 454 681 1362 1589 3178 4767 9534 11123 22246 33369 66738 15283843 30567686 45851529 91703058 106986901 213973802 320960703 641921406 748908307 1497816614 2246724921 3469432361 4493449842 6938864722 10408297083 20816594166 24286026527 48572053054 72858079581 145716159162 170002185689 340004371378 510006557067 1020013114134