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1000135061300 = 225223434841331
BaseRepresentation
bin11101000110111001011…
…00011110111100110100
310112121112010120020202102
432203130230132330310
5112341234033430200
62043242233201232
7132154164516524
oct16433454367464
93477463506672
101000135061300
11356178194501
121419bb260218
137340a266c7b
143659a363684
151b0385446d5
hexe8dcb1ef34

1000135061300 has 36 divisors (see below), whose sum is σ = 2264653657056. Its totient is φ = 382660370400.

The previous prime is 1000135061297. The next prime is 1000135061309. The reversal of 1000135061300 is 31605310001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000135061309) 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 11 ways as a sum of consecutive naturals, for example, 217418366 + ... + 217422965.

Almost surely, 21000135061300 is an apocalyptic number.

1000135061300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000135061300 is an abundant number, since it is smaller than the sum of its proper divisors (1264518595756).

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

1000135061300 is a wasteful number, since it uses less digits than its factorization.

1000135061300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434841368 (or 434841361 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The spelling of 1000135061300 in words is "one trillion, one hundred thirty-five million, sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 434841331 869682662 1739365324 2174206655 4348413310 8696826620 10001350613 10871033275 20002701226 21742066550 40005402452 43484133100 50006753065 100013506130 200027012260 250033765325 500067530650 1000135061300