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10102400110 = 2511217661743
BaseRepresentation
bin10010110100010011…
…00110010001101110
3222002001110002200001
421122021212101232
5131142203300420
64350241254514
7505226661355
oct113211462156
928061402601
1010102400110
1143145a5800
121b5b33443a
13c4cc9155a
146bb9ba99c
153e1d88b0a
hex25a26646e

10102400110 has 96 divisors (see below), whose sum is σ = 21224016576. Its totient is φ = 3447628800.

The previous prime is 10102400089. The next prime is 10102400167. The reversal of 10102400110 is 1100420101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13596399 + ... + 13597141.

It is an arithmetic number, because the mean of its divisors is an integer number (221083506).

Almost surely, 210102400110 is an apocalyptic number.

10102400110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102400110 is an abundant number, since it is smaller than the sum of its proper divisors (11121616466).

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

10102400110 is a wasteful number, since it uses less digits than its factorization.

10102400110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102400110 its reverse (1100420101), we get a palindrome (11202820211).

The spelling of 10102400110 in words is "ten billion, one hundred two million, four hundred thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 661 743 935 1210 1322 1486 1870 2057 3305 3715 4114 6610 7271 7430 8173 10285 11237 12631 14542 16346 20570 22474 25262 36355 40865 56185 63155 72710 79981 81730 89903 112370 123607 126310 138941 159962 179806 247214 277882 399905 449515 491123 618035 694705 799810 899030 982246 1236070 1359677 1389410 1528351 2455615 2719354 3056702 4911230 5402353 6798385 7641755 8349091 10804706 13596770 15283510 16698182 27011765 41745455 54023530 59425883 83490910 91840001 118851766 183680002 297129415 459200005 594258830 918400010 1010240011 2020480022 5051200055 10102400110