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203120024212100 = 22522897851382361
BaseRepresentation
bin101110001011110010010000…
…111000111101001010000100
3222122012002021201122001021102
4232023302100320331022010
5203110404302144241400
62000000015000235232
760532636360455332
oct5613622070751204
9878162251561242
10203120024212100
11597a179a381046
121a94603116bb18
1389451a0002818
1438230c1166b52
15187394096c9d5
hexb8bc90e3d284

203120024212100 has 72 divisors (see below), whose sum is σ = 440979747942888. Its totient is φ = 81209437388800.

The previous prime is 203120024212099. The next prime is 203120024212141. The reversal of 203120024212100 is 1212420021302.

It can be written as a sum of positive squares in 12 ways, for example, as 31112812228996 + 172007211983104 = 5577886^2 + 13115152^2 .

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, 2466174920 + ... + 2466257280.

It is an arithmetic number, because the mean of its divisors is an integer number (6124718721429).

Almost surely, 2203120024212100 is an apocalyptic number.

203120024212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203120024212100 is an abundant number, since it is smaller than the sum of its proper divisors (237859723730788).

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

203120024212100 is a wasteful number, since it uses less digits than its factorization.

203120024212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93785 (or 93778 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 203120024212100 its reverse (1212420021302), we get a palindrome (204332444233402).

The spelling of 203120024212100 in words is "two hundred three trillion, one hundred twenty billion, twenty-four million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2897 5794 8513 11588 14485 17026 28970 34052 42565 57940 72425 82361 85130 144850 164722 170260 212825 289700 329444 411805 425650 823610 851300 1647220 2059025 4118050 8236100 24662161 49324322 98648644 123310805 238599817 246621610 477199634 493243220 616554025 701139193 954399268 1192999085 1233108050 1402278386 2385998170 2466216100 2804556772 3505695965 4771996340 5964995425 7011391930 11929990850 14022783860 17528479825 23859981700 35056959650 70113919300 2031200242121 4062400484242 8124800968484 10156001210605 20312002421210 40624004842420 50780006053025 101560012106050 203120024212100