Search a number
-
+
230201401020 = 223511386339343
BaseRepresentation
bin1101011001100100010…
…0101001111010111100
3211000012010112211010120
43112121010221322330
512232423024313040
6253430354534540
722426414423563
oct3263104517274
9730163484116
10230201401020
118969a764858
1238745b97450
131892833c176
14b1db194bda
155ec4ad27d0
hex3599129ebc

230201401020 has 96 divisors (see below), whose sum is σ = 651038072832. Its totient is φ = 60771744768.

The previous prime is 230201401007. The next prime is 230201401049. The reversal of 230201401020 is 20104102032.

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

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, 5831469 + ... + 5870811.

It is an arithmetic number, because the mean of its divisors is an integer number (6781646592).

Almost surely, 2230201401020 is an apocalyptic number.

230201401020 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 230201401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325519036416).

230201401020 is an abundant number, since it is smaller than the sum of its proper divisors (420836671812).

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

230201401020 is a wasteful number, since it uses less digits than its factorization.

230201401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40331 (or 40329 counting only the distinct ones).

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

Adding to 230201401020 its reverse (20104102032), we get a palindrome (250305503052).

The spelling of 230201401020 in words is "two hundred thirty billion, two hundred one million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 863 1130 1356 1695 1726 2260 2589 3390 3452 4315 5178 6780 8630 10356 12945 17260 25890 39343 51780 78686 97519 118029 157372 195038 196715 236058 292557 390076 393430 472116 487595 585114 590145 786860 975190 1170228 1180290 1462785 1950380 2360580 2925570 4445759 5851140 8891518 13337277 17783036 22228795 26674554 33953009 44457590 53349108 66686385 67906018 88915180 101859027 133372770 135812036 169765045 203718054 266745540 339530090 407436108 509295135 679060180 1018590270 2037180540 3836690017 7673380034 11510070051 15346760068 19183450085 23020140102 38366900170 46040280204 57550350255 76733800340 115100700510 230201401020