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10110031100 = 225213191912143
BaseRepresentation
bin10010110101001101…
…01101010011111100
3222002120210210102022
421122212231103330
5131201131443400
64351113015312
7505351563221
oct113246552374
928076723368
1010110031100
114318938004
121b619b4538
13c51733a30
146bca05948
153e2894b85
hex25a9ad4fc

10110031100 has 144 divisors (see below), whose sum is σ = 25011732480. Its totient is φ = 3516307200.

The previous prime is 10110031079. The next prime is 10110031117. The reversal of 10110031100 is 113001101.

It is a congruent number.

It is an unprimeable number.

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, 4716629 + ... + 4718771.

Almost surely, 210110031100 is an apocalyptic number.

10110031100 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 10110031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12505866240).

10110031100 is an abundant number, since it is smaller than the sum of its proper divisors (14901701380).

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

10110031100 is a wasteful number, since it uses less digits than its factorization.

10110031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10110031100 its reverse (113001101), we get a palindrome (10223032201).

The spelling of 10110031100 in words is "ten billion, one hundred ten million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 191 247 260 325 380 382 475 494 650 764 950 955 988 1235 1300 1900 1910 2143 2470 2483 3629 3820 4286 4775 4940 4966 6175 7258 8572 9550 9932 10715 12350 12415 14516 18145 19100 21430 24700 24830 27859 36290 40717 42860 47177 49660 53575 55718 62075 72580 81434 90725 94354 107150 111436 124150 139295 162868 181450 188708 203585 214300 235885 248300 278590 362900 407170 409313 471770 529321 557180 696475 814340 818626 943540 1017925 1058642 1179425 1392950 1637252 2035850 2046565 2117284 2358850 2646605 2785900 4071700 4093130 4717700 5293210 5321069 7776947 8186260 10232825 10586420 10642138 13233025 15553894 20465650 21284276 26466050 26605345 31107788 38884735 40931300 52932100 53210690 77769470 101100311 106421380 133026725 155538940 194423675 202200622 266053450 388847350 404401244 505501555 532106900 777694700 1011003110 2022006220 2527507775 5055015550 10110031100