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20231140202100 = 223252611777207377
BaseRepresentation
bin1001001100110011011011…
…11011001101011001110100
32122122002002221112100202200
410212121231323031121310
510122431333342431400
6111010020230504500
74155436341230052
oct446315573153164
978562087470680
1020231140202100
11649aa84245a53
122328b1bb05130
13b39a32c834a9
144dd299d8d1d2
152513d20abb00
hex12666decd674

20231140202100 has 216 divisors, whose sum is σ = 64489530327768. Its totient is φ = 5303516774400.

The previous prime is 20231140202099. The next prime is 20231140202123. The reversal of 20231140202100 is 120204113202.

It is a happy number.

20231140202100 is a `hidden beast` number, since 20 + 2 + 31 + 1 + 402 + 0 + 210 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6605784109584 + 13625356092516 = 2570172^2 + 3691254^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97453612 + ... + 97660988.

Almost surely, 220231140202100 is an apocalyptic number.

20231140202100 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 20231140202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32244765163884).

20231140202100 is an abundant number, since it is smaller than the sum of its proper divisors (44258390125668).

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

20231140202100 is a wasteful number, since it uses less digits than its factorization.

20231140202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209235 (or 209225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20231140202100 its reverse (120204113202), we get a palindrome (20351344315302).

The spelling of 20231140202100 in words is "twenty trillion, two hundred thirty-one billion, one hundred forty million, two hundred two thousand, one hundred".