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111001310040 = 23351453363649
BaseRepresentation
bin110011101100000110…
…0011001001101011000
3101121111212112210112010
41213120030121031120
53304312313410130
6122554315145520
711006500365465
oct1473014311530
9347455483463
10111001310040
1143091389175
121961a1452a0
13a60caa545a
14553019266c
152d49e870b0
hex19d8319358

111001310040 has 64 divisors (see below), whose sum is σ = 333032076000. Its totient is φ = 29597847552.

The previous prime is 111001310039. The next prime is 111001310081. The reversal of 111001310040 is 40013100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111001309998 and 111001310025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1712136 + ... + 1775784.

Almost surely, 2111001310040 is an apocalyptic number.

111001310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001310040 is an abundant number, since it is smaller than the sum of its proper divisors (222030765960).

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

111001310040 is a wasteful number, since it uses less digits than its factorization.

111001310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78196 (or 78192 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 111001310040 its reverse (40013100111), we get a palindrome (151014410151).

The spelling of 111001310040 in words is "one hundred eleven billion, one million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 14533 29066 43599 58132 63649 72665 87198 116264 127298 145330 174396 190947 217995 254596 290660 318245 348792 381894 435990 509192 581320 636490 763788 871980 954735 1272980 1527576 1743960 1909470 2545960 3818940 7637880 925010917 1850021834 2775032751 3700043668 4625054585 5550065502 7400087336 9250109170 11100131004 13875163755 18500218340 22200262008 27750327510 37000436680 55500655020 111001310040