Search a number
-
+
231204312021000 = 23353433717769911
BaseRepresentation
bin110100100100011101110010…
…111000110111100000001000
31010022121220202000212021211110
4310210131302320313200020
5220301022412334133000
62135421443350530320
766461650246210623
oct6444356270674010
91108556660767743
10231204312021000
116773a21a71970a
1221b20b403669a0
139c0161c453a36
1441144c4070dba
151bae24c3ae850
hexd24772e37808

231204312021000 has 128 divisors (see below), whose sum is σ = 721523820476160. Its totient is φ = 61640263808000.

The previous prime is 231204312020939. The next prime is 231204312021079. The reversal of 231204312021000 is 120213402132.

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, 4126045 + ... + 21895955.

It is an arithmetic number, because the mean of its divisors is an integer number (5636904847470).

Almost surely, 2231204312021000 is an apocalyptic number.

231204312021000 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 231204312021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360761910238080).

231204312021000 is an abundant number, since it is smaller than the sum of its proper divisors (490319508455160).

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

231204312021000 is a wasteful number, since it uses less digits than its factorization.

231204312021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17774272 (or 17774258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 231204312021000 its reverse (120213402132), we get a palindrome (231324525423132).

The spelling of 231204312021000 in words is "two hundred thirty-one trillion, two hundred four billion, three hundred twelve million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4337 8674 13011 17348 21685 26022 34696 43370 52044 65055 86740 104088 108425 130110 173480 216850 260220 325275 433700 520440 542125 650550 867400 1084250 1301100 1626375 2168500 2602200 3252750 4337000 6505500 13011000 17769911 35539822 53309733 71079644 88849555 106619466 142159288 177699110 213238932 266548665 355398220 426477864 444247775 533097330 710796440 888495550 1066194660 1332743325 1776991100 2132389320 2221238875 2665486650 3553982200 4442477750 5330973300 6663716625 8884955500 10661946600 13327433250 17769911000 26654866500 53309733000 77068104007 154136208014 231204312021 308272416028 385340520035 462408624042 616544832056 770681040070 924817248084 1156021560105 1541362080140 1849634496168 1926702600175 2312043120210 3082724160280 3853405200350 4624086240420 5780107800525 7706810400700 9248172480840 9633513000875 11560215601050 15413620801400 19267026001750 23120431202100 28900539002625 38534052003500 46240862404200 57801078005250 77068104007000 115602156010500 231204312021000