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11202420440 = 23529372111237
BaseRepresentation
bin10100110111011011…
…10101111011011000
31001220201022220212202
422123231311323120
5140420304423230
65051334425332
7544415000621
oct123355657330
931821286782
1011202420440
114829524312
122207802248
131096b4b563
14783b22a48
15458725a45
hex29bb75ed8

11202420440 has 128 divisors (see below), whose sum is σ = 26927985600. Its totient is φ = 4186183680.

The previous prime is 11202420401. The next prime is 11202420451. The reversal of 11202420440 is 4402420211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9055502 + ... + 9056738.

Almost surely, 211202420440 is an apocalyptic number.

11202420440 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 11202420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13463992800).

11202420440 is an abundant number, since it is smaller than the sum of its proper divisors (15725565160).

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

11202420440 is a wasteful number, since it uses less digits than its factorization.

11202420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 11202420440 its reverse (4402420211), we get a palindrome (15604840651).

The spelling of 11202420440 in words is "eleven billion, two hundred two million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 116 145 148 185 211 232 290 296 370 422 580 740 844 1055 1073 1160 1237 1480 1688 2110 2146 2474 4220 4292 4948 5365 6119 6185 7807 8440 8584 9896 10730 12238 12370 15614 21460 24476 24740 30595 31228 35873 39035 42920 45769 48952 49480 61190 62456 71746 78070 91538 122380 143492 156140 179365 183076 226403 228845 244760 261007 286984 312280 358730 366152 452806 457690 522014 717460 905612 915380 1044028 1132015 1305035 1327301 1434920 1811224 1830760 2088056 2264030 2610070 2654602 4528060 5220140 5309204 6636505 7569203 9056120 9657259 10440280 10618408 13273010 15138406 19314518 26546020 30276812 37846015 38629036 48286295 53092040 60553624 75692030 77258072 96572590 151384060 193145180 280060511 302768120 386290360 560121022 1120242044 1400302555 2240484088 2800605110 5601210220 11202420440