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10110011100 = 22352723209317
BaseRepresentation
bin10010110101001101…
…01000011011011100
3222002120202202222120
421122212220123130
5131201130323400
64351112342540
7505351451010
oct113246503334
928076682876
1010110011100
114318923a82
121b619a4a50
13c517278b7
146bc9dc540
153e288dca0
hex25a9a86dc

10110011100 has 144 divisors (see below), whose sum is σ = 34884100608. Its totient is φ = 2210376960.

The previous prime is 10110011099. The next prime is 10110011113. The reversal of 10110011100 is 111001101.

10110011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 56359 + ... + 152958.

Almost surely, 210110011100 is an apocalyptic number.

10110011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110011100 is an abundant number, since it is smaller than the sum of its proper divisors (24774089508).

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

10110011100 is a wasteful number, since it uses less digits than its factorization.

10110011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209364 (or 209357 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10110011100 its reverse (111001101), we get a palindrome (10221012201).

Subtracting from 10110011100 its reverse (111001101), we obtain a palindrome (9999009999).

It can be divided in two parts, 1011001 and 1100, that added together give a palindrome (1012101).

The spelling of 10110011100 in words is "ten billion, one hundred ten million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 460 483 525 575 644 690 700 805 966 1050 1150 1380 1610 1725 1932 2100 2300 2415 3220 3450 4025 4830 6900 8050 9660 12075 16100 24150 48300 209317 418634 627951 837268 1046585 1255902 1465219 2093170 2511804 2930438 3139755 4186340 4395657 4814291 5232925 5860876 6279510 7326095 8791314 9628582 10465850 12559020 14442873 14652190 15698775 17582628 19257164 20931700 21978285 24071455 28885746 29304380 31397550 33700037 36630475 43956570 48142910 57771492 62795100 67400074 72214365 73260950 87913140 96285820 101100111 109891425 120357275 134800148 144428730 146521900 168500185 202200222 219782850 240714550 288857460 337000370 361071825 404400444 439565700 481429100 505500555 674000740 722143650 842500925 1011001110 1444287300 1685001850 2022002220 2527502775 3370003700 5055005550 10110011100