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10410040100 = 22521722912421
BaseRepresentation
bin10011011000111110…
…01001101100100100
3222212111022211101202
421230133021230210
5132304432240400
64440551142032
7515653611065
oct115437115444
928774284352
1010410040100
114462218229
122026374918
13c9b935955
1470a7bc56c
1540dda64d5
hex26c7c9b24

10410040100 has 108 divisors (see below), whose sum is σ = 24826236540. Its totient is φ = 3783628800.

The previous prime is 10410040087. The next prime is 10410040133. The reversal of 10410040100 is 104001401.

10410040100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 1010349796 + 9399690304 = 31786^2 + 96952^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 831890 + ... + 844310.

Almost surely, 210410040100 is an apocalyptic number.

10410040100 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 10410040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413118270).

10410040100 is an abundant number, since it is smaller than the sum of its proper divisors (14416196440).

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

10410040100 is a wasteful number, since it uses less digits than its factorization.

10410040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12498 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10410040100 its reverse (104001401), we get a palindrome (10514041501).

The spelling of 10410040100 in words is "ten billion, four hundred ten million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 289 290 340 425 493 578 580 725 850 986 1156 1445 1450 1700 1972 2465 2890 2900 4930 5780 7225 8381 9860 12325 12421 14450 16762 24650 24842 28900 33524 41905 49300 49684 62105 83810 124210 167620 209525 211157 248420 310525 360209 419050 422314 621050 720418 838100 844628 1055785 1242100 1440836 1801045 2111570 3589669 3602090 4223140 5278925 6123553 7179338 7204180 9005225 10557850 12247106 14358676 17948345 18010450 21115700 24494212 30617765 35896690 36020900 61235530 71793380 89741725 104100401 122471060 153088825 179483450 208200802 306177650 358966900 416401604 520502005 612355300 1041004010 2082008020 2602510025 5205020050 10410040100