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10100011100 = 22521728121143
BaseRepresentation
bin10010110100000000…
…11111000001011100
3222001212221201120012
421122000133001130
5131141100323400
64350114142352
7505200451334
oct113200370134
928055851505
1010100011100
114313213913
121b5a5819b8
13c4c63603a
146bb5580c4
153e1a65d35
hex25a01f05c

10100011100 has 72 divisors (see below), whose sum is σ = 23289946848. Its totient is φ = 3788646400.

The previous prime is 10100011093. The next prime is 10100011147. The reversal of 10100011100 is 111000101.

Adding to 10100011100 its reverse (111000101), we get a palindrome (10211011201).

It can be divided in two parts, 1010001 and 1100, that added together give a palindrome (1011101).

It is a Harshad number since it is a multiple of its sum of digits (5).

10100011100 is a modest number, since divided by 11100 gives 10100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467129 + ... + 488271.

It is an arithmetic number, because the mean of its divisors is an integer number (323471484).

Almost surely, 210100011100 is an apocalyptic number.

10100011100 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 10100011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644973424).

10100011100 is an abundant number, since it is smaller than the sum of its proper divisors (13189935748).

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

10100011100 is a wasteful number, since it uses less digits than its factorization.

10100011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21455 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 10100011100 in words is "ten billion, one hundred million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 281 340 425 562 850 1124 1405 1700 2810 4777 5620 7025 9554 14050 19108 21143 23885 28100 42286 47770 84572 95540 105715 119425 211430 238850 359431 422860 477700 528575 718862 1057150 1437724 1797155 2114300 3594310 5941183 7188620 8985775 11882366 17971550 23764732 29705915 35943100 59411830 101000111 118823660 148529575 202000222 297059150 404000444 505000555 594118300 1010001110 2020002220 2525002775 5050005550 10100011100