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20231127700 = 2252779736263
BaseRepresentation
bin10010110101110111…
…101000001010010100
31221012221102202211221
4102311313220022110
5312413132041300
613143303140124
71314226514410
oct226567501224
957187382757
1020231127700
118641a42753
123b07444644
131ba55402a4
14d9cc8bd40
157d61c331a
hex4b5de8294

20231127700 has 72 divisors (see below), whose sum is σ = 50237534592. Its totient is φ = 6927492480.

The previous prime is 20231127689. The next prime is 20231127737. The reversal of 20231127700 is 772113202.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 539769 + ... + 576031.

It is an arithmetic number, because the mean of its divisors is an integer number (697743536).

Almost surely, 220231127700 is an apocalyptic number.

20231127700 is a gapful number since it is divisible by the number (20) 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 20231127700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118767296).

20231127700 is an abundant number, since it is smaller than the sum of its proper divisors (30006406892).

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

20231127700 is a wasteful number, since it uses less digits than its factorization.

20231127700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37081 (or 37074 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The spelling of 20231127700 in words is "twenty billion, two hundred thirty-one million, one hundred twenty-seven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 797 1594 3188 3985 5579 7970 11158 15940 19925 22316 27895 36263 39850 55790 72526 79700 111580 139475 145052 181315 253841 278950 362630 507682 557900 725260 906575 1015364 1269205 1813150 2538410 3626300 5076820 6346025 12692050 25384100 28901611 57803222 115606444 144508055 202311277 289016110 404622554 578032220 722540275 809245108 1011556385 1445080550 2023112770 2890161100 4046225540 5057781925 10115563850 20231127700