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204231103020 = 223257187986263
BaseRepresentation
bin1011111000110100011…
…1110101001000101100
3201112011012211222200200
42332031013311020230
511321231130244040
6233453353153500
720520015506220
oct2761507651054
9645135758620
10204231103020
117968315155a
12336b86bb890
1316349a97c29
149c55dd2780
1554a4b49630
hex2f8d1f522c

204231103020 has 144 divisors (see below), whose sum is σ = 708386165760. Its totient is φ = 46656010368.

The previous prime is 204231102953. The next prime is 204231103061. The reversal of 204231103020 is 20301132402.

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

It is a junction number, because it is equal to n+sod(n) for n = 204231102984 and 204231103002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2324409 + ... + 2410671.

Almost surely, 2204231103020 is an apocalyptic number.

204231103020 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 204231103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354193082880).

204231103020 is an abundant number, since it is smaller than the sum of its proper divisors (504155062740).

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

204231103020 is a wasteful number, since it uses less digits than its factorization.

204231103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88164 (or 88159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 204231103020 its reverse (20301132402), we get a palindrome (224532235422).

The spelling of 204231103020 in words is "two hundred four billion, two hundred thirty-one million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1879 3758 5637 7516 9395 11274 13153 16911 18790 22548 26306 28185 33822 37580 39459 52612 56370 65765 67644 78918 84555 86263 112740 118377 131530 157836 169110 172526 197295 236754 258789 263060 338220 345052 394590 431315 473508 517578 591885 603841 776367 789180 862630 1035156 1183770 1207682 1293945 1552734 1725260 1811523 2367540 2415364 2587890 3019205 3105468 3623046 3881835 5175780 5434569 6038410 7246092 7763670 9057615 10869138 12076820 15527340 18115230 21738276 27172845 36230460 54345690 108691380 162088177 324176354 486264531 648352708 810440885 972529062 1134617239 1458793593 1620881770 1945058124 2269234478 2431322655 2917587186 3241763540 3403851717 4538468956 4862645310 5673086195 5835174372 6807703434 7293967965 9725290620 10211555151 11346172390 13615406868 14587935930 17019258585 20423110302 22692344780 29175871860 34038517170 40846220604 51057775755 68077034340 102115551510 204231103020