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20011011240 = 23351164723431
BaseRepresentation
bin10010101000101111…
…111100110010101000
31220122121020200211110
4102220233330302220
5311440304324430
613105401230320
71305614534433
oct225057746250
956577220743
1020011011240
11853976aa20
123a657923a0
131b6ba6186c
14d7b95081a
157c1be37b0
hex4a8bfcca8

20011011240 has 128 divisors (see below), whose sum is σ = 65594603520. Its totient is φ = 4843449600.

The previous prime is 20011011227. The next prime is 20011011271. The reversal of 20011011240 is 4211011002.

It is a happy number.

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

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, 842325 + ... + 865755.

It is an arithmetic number, because the mean of its divisors is an integer number (512457840).

Almost surely, 220011011240 is an apocalyptic number.

20011011240 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 20011011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32797301760).

20011011240 is an abundant number, since it is smaller than the sum of its proper divisors (45583592280).

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

20011011240 is a wasteful number, since it uses less digits than its factorization.

20011011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24103 (or 24099 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20011011240 its reverse (4211011002), we get a palindrome (24222022242).

The spelling of 20011011240 in words is "twenty billion, eleven million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 647 660 1294 1320 1941 2588 3235 3882 5176 6470 7117 7764 9705 12940 14234 15528 19410 21351 23431 25880 28468 35585 38820 42702 46862 56936 70293 71170 77640 85404 93724 106755 117155 140586 142340 170808 187448 213510 234310 257741 281172 284680 351465 427020 468620 515482 562344 702930 773223 854040 937240 1030964 1288705 1405860 1546446 2061928 2577410 2811720 3092892 3866115 5154820 6185784 7732230 10309640 15159857 15464460 30319714 30928920 45479571 60639428 75799285 90959142 121278856 151598570 166758427 181918284 227397855 303197140 333516854 363836568 454795710 500275281 606394280 667033708 833792135 909591420 1000550562 1334067416 1667584270 1819182840 2001101124 2501376405 3335168540 4002202248 5002752810 6670337080 10005505620 20011011240