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20110056252 = 223112133134367
BaseRepresentation
bin10010101110101001…
…110001101100111100
31220220111121201001020
4102232221301230330
5312141133300002
613123300144140
71311226441416
oct225651615474
956814551036
1020110056252
11858a669a00
123a92998050
131b8642c790
14d8ab739b6
157ca75a2bc
hex4aea71b3c

20110056252 has 144 divisors (see below), whose sum is σ = 57337921536. Its totient is φ = 5443574400.

The previous prime is 20110056251. The next prime is 20110056269. The reversal of 20110056252 is 25265001102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110056251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567973 + ... + 602339.

Almost surely, 220110056252 is an apocalyptic number.

20110056252 is a gapful number since it is divisible by the number (22) 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 20110056252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28668960768).

20110056252 is an abundant number, since it is smaller than the sum of its proper divisors (37227865284).

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

20110056252 is a wasteful number, since it uses less digits than its factorization.

20110056252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34440 (or 34427 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 20110056252 its reverse (25265001102), we get a palindrome (45375057354).

The spelling of 20110056252 in words is "twenty billion, one hundred ten million, fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 93 121 124 132 143 156 186 242 286 341 363 372 403 429 484 572 682 726 806 858 1023 1209 1364 1452 1573 1612 1716 2046 2418 3146 3751 4092 4433 4719 4836 6292 7502 8866 9438 11253 13299 15004 17732 18876 22506 26598 34367 45012 48763 53196 68734 97526 103101 137468 146289 195052 206202 292578 378037 412404 446771 585156 756074 893542 1065377 1134111 1340313 1512148 1787084 2130754 2268222 2680626 3196131 4158407 4261508 4536444 4914481 5361252 6392262 8316814 9828962 11719147 12475221 12784524 13849901 14743443 16633628 19657924 23438294 24950442 27699802 29486886 35157441 41549703 46876588 49900884 54059291 55399604 58973772 70314882 83099406 108118582 128910617 140629764 152348911 162177873 166198812 216237164 257821234 304697822 324355746 386731851 457046733 515642468 609395644 648711492 773463702 914093466 1546927404 1675838021 1828186932 3351676042 5027514063 6703352084 10055028126 20110056252