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230120001020 = 225713457276673
BaseRepresentation
bin1101011001010000111…
…0001000110111111100
3210222222110101021022202
43112110032020313330
512232241210013040
6253414330131032
722424405510030
oct3262416106774
9728873337282
10230120001020
1189658817828
1238722880a78
131891450b7a0
14b1d04461c0
155ebc8a4015
hex3594388dfc

230120001020 has 96 divisors (see below), whose sum is σ = 596075319168. Its totient is φ = 72669560832.

The previous prime is 230120001011. The next prime is 230120001037. The reversal of 230120001020 is 20100021032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230120000992 and 230120001010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693404 + ... + 970076.

It is an arithmetic number, because the mean of its divisors is an integer number (6209117908).

Almost surely, 2230120001020 is an apocalyptic number.

230120001020 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 230120001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298037659584).

230120001020 is an abundant number, since it is smaller than the sum of its proper divisors (365955318148).

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

230120001020 is a wasteful number, since it uses less digits than its factorization.

230120001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277159 (or 277157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 230120001020 its reverse (20100021032), we get a palindrome (250220022052).

The spelling of 230120001020 in words is "two hundred thirty billion, one hundred twenty million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 457 910 914 1820 1828 2285 3199 4570 5941 6398 9140 11882 12796 15995 23764 29705 31990 41587 59410 63980 83174 118820 166348 207935 276673 415870 553346 831740 1106692 1383365 1936711 2766730 3596749 3873422 5533460 7193498 7746844 9683555 14386996 17983745 19367110 25177243 35967490 38734220 50354486 71934980 100708972 125886215 126439561 251772430 252879122 503544860 505758244 632197805 885076927 1264395610 1643714293 1770153854 2528791220 3287428586 3540307708 4425384635 6574857172 8218571465 8850769270 11506000051 16437142930 17701538540 23012000102 32874285860 46024000204 57530000255 115060000510 230120001020