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1011052341520 = 245133726274749
BaseRepresentation
bin11101011011001110110…
…10100110100100010000
310120122200222100112210021
432231213122212210100
5113031113344412040
62052245424313224
7133021551051034
oct16554732464420
93518628315707
101011052341520
1135a86a763741
12143b47472814
1374459cbb2b0
1436d142601c4
151b476be424a
hexeb676a6910

1011052341520 has 80 divisors (see below), whose sum is σ = 2599939062000. Its totient is φ = 363222116352.

The previous prime is 1011052341517. The next prime is 1011052341539. The reversal of 1011052341520 is 251432501101.

1011052341520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4698279936 + 1006354061584 = 68544^2 + 1003172^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13098895 + ... + 13175854.

It is an arithmetic number, because the mean of its divisors is an integer number (32499238275).

Almost surely, 21011052341520 is an apocalyptic number.

1011052341520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011052341520 is an abundant number, since it is smaller than the sum of its proper divisors (1588886720480).

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

1011052341520 is a wasteful number, since it uses less digits than its factorization.

1011052341520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26274812 (or 26274806 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 1011052341520 its reverse (251432501101), we get a palindrome (1262484842621).

The spelling of 1011052341520 in words is "one trillion, eleven billion, fifty-two million, three hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 38480 26274749 52549498 105098996 131373745 210197992 262747490 341571737 420395984 525494980 683143474 972165713 1050989960 1366286948 1707858685 1944331426 2101979920 2732573896 3415717370 3888662852 4860828565 5465147792 6831434740 7777325704 9721657130 12638154269 13662869480 15554651408 19443314260 25276308538 27325738960 38886628520 50552617076 63190771345 77773257040 101105234152 126381542690 202210468304 252763085380 505526170760 1011052341520