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231023113033000 = 23535316372662753
BaseRepresentation
bin110100100001110101000010…
…100101100101010100101000
31010021222121000221222222020211
4310201311002211211110220
5220240040313414024000
62135202315235430504
766442604051215651
oct6441650245452450
91107877027888224
10231023113033000
116767a396602062
1221ab19b1155434
139bba5032b0842
144109814d2a528
151ba96947ba7ba
hexd21d42965528

231023113033000 has 128 divisors (see below), whose sum is σ = 551130645330720. Its totient is φ = 90610255257600.

The previous prime is 231023113032983. The next prime is 231023113033019. The reversal of 231023113033000 is 330311320132.

It can be written as a sum of positive squares in 16 ways, for example, as 41096843705124 + 189926269327876 = 6410682^2 + 13781374^2 .

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, 85429624 + ... + 88092376.

Almost surely, 2231023113033000 is an apocalyptic number.

231023113033000 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 231023113033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275565322665360).

231023113033000 is an abundant number, since it is smaller than the sum of its proper divisors (320107532297720).

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

231023113033000 is a wasteful number, since it uses less digits than its factorization.

231023113033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664464 (or 2664450 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 231023113033000 its reverse (330311320132), we get a palindrome (231353424353132).

The spelling of 231023113033000 in words is "two hundred thirty-one trillion, twenty-three billion, one hundred thirteen million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 1637 2120 2650 3274 5300 6548 6625 8185 10600 13096 13250 16370 26500 32740 40925 53000 65480 81850 86761 163700 173522 204625 327400 347044 409250 433805 694088 818500 867610 1637000 1735220 2169025 2662753 3470440 4338050 5325506 8676100 10651012 10845125 13313765 17352200 21302024 21690250 26627530 43380500 53255060 66568825 86761000 106510120 133137650 141125909 266275300 282251818 332844125 532550600 564503636 665688250 705629545 1129007272 1331376500 1411259090 2662753000 2822518180 3528147725 4358926661 5645036360 7056295450 8717853322 14112590900 17435706644 17640738625 21794633305 28225181800 34871413288 35281477250 43589266610 70562954500 87178533220 108973166525 141125909000 174357066440 217946333050 231023113033 435892666100 462046226066 544865832625 871785332200 924092452132 1089731665250 1155115565165 1848184904264 2179463330500 2310231130330 4358926661000 4620462260660 5775577825825 9240924521320 11551155651650 23102311303300 28877889129125 46204622606600 57755778258250 115511556516500 231023113033000