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1110123030440 = 235712207177113
BaseRepresentation
bin10000001001111000011…
…111010010011110101000
310221010102101022222220002
4100021320133102132220
5121142012443433230
62205552233122132
7143126612031554
oct20117037223650
93833371288802
101110123030440
11398889567656
1215b195b59348
13808b8110b08
143ba31ad4864
151dd24562545
hex102787d27a8

1110123030440 has 64 divisors (see below), whose sum is σ = 2534118773760. Its totient is φ = 437594160640.

The previous prime is 1110123030403. The next prime is 1110123030463. The reversal of 1110123030440 is 440303210111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6179324 + ... + 6356436.

It is an arithmetic number, because the mean of its divisors is an integer number (39595605840).

Almost surely, 21110123030440 is an apocalyptic number.

1110123030440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110123030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267059386880).

1110123030440 is an abundant number, since it is smaller than the sum of its proper divisors (1423995743320).

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

1110123030440 is a wasteful number, since it uses less digits than its factorization.

1110123030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179402 (or 179398 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1110123030440 its reverse (440303210111), we get a palindrome (1550426240551).

The spelling of 1110123030440 in words is "one trillion, one hundred ten billion, one hundred twenty-three million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2207 2840 4414 8828 11035 17656 22070 44140 88280 156697 177113 313394 354226 626788 708452 783485 885565 1253576 1416904 1566970 1771130 3133940 3542260 6267880 7084520 12575023 25150046 50300092 62875115 100600184 125750230 251500460 390888391 503000920 781776782 1563553564 1954441955 3127107128 3908883910 7817767820 15635535640 27753075761 55506151522 111012303044 138765378805 222024606088 277530757610 555061515220 1110123030440