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20231002022100 = 22352634431062949
BaseRepresentation
bin1001001100110011001011…
…01100000110000011010100
32122122001202022112002102220
410212121211230012003110
510122431043004201400
6111005554413102340
74155433042556652
oct446314554060324
978561668462386
1020231002022100
11649aa13247301
122328aa17879b0
13b39a1046268c
144dd28589ddd2
152513c4db47a0
hex126665b060d4

20231002022100 has 72 divisors (see below), whose sum is σ = 58536010226400. Its totient is φ = 5394843761280.

The previous prime is 20231002022093. The next prime is 20231002022113. The reversal of 20231002022100 is 122020013202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20231002022100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18501426 + ... + 19564374.

Almost surely, 220231002022100 is an apocalyptic number.

20231002022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231002022100 is an abundant number, since it is smaller than the sum of its proper divisors (38305008204300).

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

20231002022100 is a wasteful number, since it uses less digits than its factorization.

20231002022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126409 (or 1126402 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20231002022100 its reverse (122020013202), we get a palindrome (20353022035302).

The spelling of 20231002022100 in words is "twenty trillion, two hundred thirty-one billion, two million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 63443 126886 190329 253772 317215 380658 634430 761316 951645 1062949 1268860 1586075 1903290 2125898 3172150 3188847 3806580 4251796 4758225 5314745 6344300 6377694 9516450 10629490 12755388 15944235 19032900 21258980 26573725 31888470 53147450 63776940 79721175 106294900 159442350 318884700 67436673407 134873346814 202310020221 269746693628 337183367035 404620040442 674366734070 809240080884 1011550101105 1348733468140 1685916835175 2023100202210 3371833670350 4046200404420 5057750505525 6743667340700 10115501011050 20231002022100