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20111434024 = 23114322923209
BaseRepresentation
bin10010101110101111…
…000010000100101000
31220220121012200222211
4102232233002010220
5312142011342044
613123345454504
71311244240303
oct225657020450
956817180884
1020111434024
118590420060
123a93341434
131b867c2926
14d8b011b3a
157ca92d634
hex4aebc2128

20111434024 has 64 divisors (see below), whose sum is σ = 42279336000. Its totient is φ = 8889592320.

The previous prime is 20111434003. The next prime is 20111434073. The reversal of 20111434024 is 42043411102.

It is a happy number.

It is a super-4 number, since 4×201114340244 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20111433986 and 20111434004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854932 + ... + 878140.

It is an arithmetic number, because the mean of its divisors is an integer number (660614625).

Almost surely, 220111434024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139668000).

20111434024 is an abundant number, since it is smaller than the sum of its proper divisors (22167901976).

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

20111434024 is a wasteful number, since it uses less digits than its factorization.

20111434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23498 (or 23494 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20111434024 its reverse (42043411102), we get a palindrome (62154845126).

The spelling of 20111434024 in words is "twenty billion, one hundred eleven million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 229 344 458 473 916 946 1832 1892 2519 3784 5038 9847 10076 19694 20152 23209 39388 46418 78776 92836 108317 185672 216634 255299 433268 510598 866536 997987 1021196 1995974 2042392 3991948 5314861 7983896 10629722 10977857 21259444 21955714 42518888 43911428 58463471 87822856 116926942 228539023 233853884 457078046 467707768 914156092 1828312184 2513929253 5027858506 10055717012 20111434024