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2023203232100 = 2252611217272533
BaseRepresentation
bin11101011100010000010…
…011110101100101100100
321011102020111211011120202
4131130100103311211210
5231122010011411400
64145240254450032
7266112601503041
oct35342023654544
97142214734522
102023203232100
11710043530566
1228813a803918
13118a3076c9cb
146dcd03621c8
15379650844d5
hex1d7104f5964

2023203232100 has 72 divisors (see below), whose sum is σ = 4466007027048. Its totient is φ = 795357388800.

The previous prime is 2023203232033. The next prime is 2023203232111. The reversal of 2023203232100 is 12323023202.

It can be written as a sum of positive squares in 12 ways, for example, as 536793606244 + 1486409625856 = 732662^2 + 1219184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7287434 + ... + 7559966.

Almost surely, 22023203232100 is an apocalyptic number.

2023203232100 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 2023203232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233003513524).

2023203232100 is an abundant number, since it is smaller than the sum of its proper divisors (2442803794948).

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

2023203232100 is a wasteful number, since it uses less digits than its factorization.

2023203232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273825 (or 273818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2023203232100 its reverse (12323023202), we get a palindrome (2035526255302).

The spelling of 2023203232100 in words is "two trillion, twenty-three billion, two hundred three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1217 1220 1525 2434 3050 4868 6085 6100 12170 24340 30425 60850 74237 121700 148474 272533 296948 371185 545066 742370 1090132 1362665 1484740 1855925 2725330 3711850 5450660 6813325 7423700 13626650 16624513 27253300 33249026 66498052 83122565 166245130 331672661 332490260 415612825 663345322 831225650 1326690644 1658363305 1662451300 3316726610 6633453220 8291816525 16583633050 20232032321 33167266100 40464064642 80928129284 101160161605 202320323210 404640646420 505800808025 1011601616050 2023203232100