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1010113110440 = 235733110898933
BaseRepresentation
bin11101011001011110110…
…11101110000110101000
310120120021112000122221222
432230233123232012220
5113022202424013230
62052012313321212
7132656354526020
oct16545733560650
93516245018858
101010113110440
1135a428576505
12143924a06208
137433a53a065
1436c65610a80
151b41e5186e5
hexeb2f6ee1a8

1010113110440 has 64 divisors (see below), whose sum is σ = 2605281183360. Its totient is φ = 345278165760.

The previous prime is 1010113110431. The next prime is 1010113110451. The reversal of 1010113110440 is 440113110101.

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 15 ways as a sum of consecutive naturals, for example, 5356787 + ... + 5542146.

It is an arithmetic number, because the mean of its divisors is an integer number (40707518490).

Almost surely, 21010113110440 is an apocalyptic number.

1010113110440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010113110440 is an abundant number, since it is smaller than the sum of its proper divisors (1595168072920).

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

1010113110440 is a wasteful number, since it uses less digits than its factorization.

1010113110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10899282 (or 10899278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1010113110440 its reverse (440113110101), we get a palindrome (1450226220541).

The spelling of 1010113110440 in words is "one trillion, ten billion, one hundred thirteen million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 331 662 1324 1655 2317 2648 3310 4634 6620 9268 11585 13240 18536 23170 46340 92680 10898933 21797866 43595732 54494665 76292531 87191464 108989330 152585062 217978660 305170124 381462655 435957320 610340248 762925310 1525850620 3051701240 3607546823 7215093646 14430187292 18037734115 25252827761 28860374584 36075468230 50505655522 72150936460 101011311044 126264138805 144301872920 202022622088 252528277610 505056555220 1010113110440