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10110100011100 = 22521923733169211
BaseRepresentation
bin1001001100011111000011…
…1010110111100001011100
31022210111221020211022122021
42103013300322313201130
52311120441100323400
633300303230225524
72062300463114305
oct223076072674134
938714836738567
1010110100011100
11324873a982a31
1211734a40552a4
135844bc2a0c9b
1426d48d7077ac
15127ec0be371a
hex931f0eb785c

10110100011100 has 144 divisors (see below), whose sum is σ = 24427779022080. Its totient is φ = 3614420620800.

The previous prime is 10110100011049. The next prime is 10110100011107. The reversal of 10110100011100 is 111000101101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110100011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1605495 + ... + 4774705.

It is an arithmetic number, because the mean of its divisors is an integer number (169637354320).

Almost surely, 210110100011100 is an apocalyptic number.

10110100011100 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 10110100011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213889511040).

10110100011100 is an abundant number, since it is smaller than the sum of its proper divisors (14317679010980).

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

10110100011100 is a wasteful number, since it uses less digits than its factorization.

10110100011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169340 (or 3169333 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10110100011100 its reverse (111000101101), we get a palindrome (10221100112201).

Subtracting from 10110100011100 its reverse (111000101101), we obtain a palindrome (9999099909999).

The spelling of 10110100011100 in words is "ten trillion, one hundred ten billion, one hundred million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 73 76 92 95 100 115 146 190 230 292 365 380 437 460 475 575 730 874 950 1150 1387 1460 1679 1748 1825 1900 2185 2300 2774 3358 3650 4370 5548 6716 6935 7300 8395 8740 10925 13870 16790 21850 27740 31901 33580 34675 41975 43700 63802 69350 83950 127604 138700 159505 167900 319010 638020 797525 1595050 3169211 3190100 6338422 12676844 15846055 31692110 60215009 63384220 72891853 79230275 120430018 145783706 158460550 231352403 240860036 291567412 301075045 316921100 364459265 462704806 602150090 728918530 925409612 1156762015 1204300180 1384945207 1457837060 1505375225 1822296325 2313524030 2769890414 3010750450 3644592650 4395695657 4627048060 5321105269 5539780828 5783810075 6021500900 6924726035 7289185300 8791391314 10642210538 11567620150 13849452070 17582782628 21284421076 21978478285 23135240300 26605526345 27698904140 34623630175 43956956570 53211052690 69247260350 87913913140 101101000111 106422105380 109892391425 133027631725 138494520700 202202000222 219784782850 266055263450 404404000444 439569565700 505505000555 532110526900 1011010001110 2022020002220 2527525002775 5055050005550 10110100011100