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20111223040 = 285178231123
BaseRepresentation
bin10010101110101110…
…001110100100000000
31220220120210222120121
4102232232032210000
5312141433114130
613123341150024
71311242401216
oct225656164400
956816728517
1020111223040
118590296597
123a9325b314
131b8674a89c
14d8ad98cb6
157ca8dad7a
hex4aeb8e900

20111223040 has 144 divisors (see below), whose sum is σ = 51113801088. Its totient is φ = 7555350528.

The previous prime is 20111223019. The next prime is 20111223043. The reversal of 20111223040 is 4032211102.

It is a super-2 number, since 2×201112230402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20111223043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17907919 + ... + 17909041.

It is an arithmetic number, because the mean of its divisors is an integer number (354956952).

Almost surely, 220111223040 is an apocalyptic number.

20111223040 is a gapful number since it is divisible by the number (20) 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 20111223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25556900544).

20111223040 is an abundant number, since it is smaller than the sum of its proper divisors (31002578048).

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

20111223040 is a wasteful number, since it uses less digits than its factorization.

20111223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20111223040 its reverse (4032211102), we get a palindrome (24143434142).

The spelling of 20111223040 in words is "twenty billion, one hundred eleven million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 823 1088 1123 1280 1360 1646 2176 2246 2720 3292 4115 4352 4492 5440 5615 6584 8230 8984 10880 11230 13168 13991 16460 17968 19091 21760 22460 26336 27982 32920 35936 38182 44920 52672 55964 65840 69955 71872 76364 89840 95455 105344 111928 131680 139910 143744 152728 179680 190910 210688 223856 263360 279820 287488 305456 359360 381820 447712 526720 559640 610912 718720 763640 895424 924229 1053440 1119280 1221824 1437440 1527280 1790848 1848458 2238560 2443648 3054560 3581696 3696916 4477120 4621145 4887296 6109120 7393832 8954240 9242290 12218240 14787664 15711893 17908480 18484580 24436480 29575328 31423786 36969160 59150656 62847572 73938320 78559465 118301312 125695144 147876640 157118930 236602624 251390288 295753280 314237860 502780576 591506560 628475720 1005561152 1183013120 1256951440 2011122304 2513902880 4022244608 5027805760 10055611520 20111223040