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233112023300 = 225213389460969
BaseRepresentation
bin1101100100011010001…
…1110011000100000100
3211021200222101202021202
43121012203303010010
512304403134221200
6255031251402032
722561506335042
oct3310643630404
9737628352252
10233112023300
118a953729412
12392188b3318
1318ca035ba80
14b3d5973392
1560e53be1d5
hex36468f3104

233112023300 has 72 divisors (see below), whose sum is σ = 546166475400. Its totient is φ = 85850680320.

The previous prime is 233112023273. The next prime is 233112023329. The reversal of 233112023300 is 3320211332.

It can be written as a sum of positive squares in 12 ways, for example, as 118510816516 + 114601206784 = 344254^2 + 338528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275216 + ... + 736184.

Almost surely, 2233112023300 is an apocalyptic number.

233112023300 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 233112023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273083237700).

233112023300 is an abundant number, since it is smaller than the sum of its proper divisors (313054452100).

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

233112023300 is a wasteful number, since it uses less digits than its factorization.

233112023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461385 (or 461378 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 233112023300 its reverse (3320211332), we get a palindrome (236432234632).

The spelling of 233112023300 in words is "two hundred thirty-three billion, one hundred twelve million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 389 650 778 1300 1556 1945 3890 5057 7780 9725 10114 19450 20228 25285 38900 50570 101140 126425 252850 460969 505700 921938 1843876 2304845 4609690 5992597 9219380 11524225 11985194 23048450 23970388 29962985 46096900 59925970 119851940 149814925 179316941 299629850 358633882 599259700 717267764 896584705 1793169410 2331120233 3586338820 4482923525 4662240466 8965847050 9324480932 11655601165 17931694100 23311202330 46622404660 58278005825 116556011650 233112023300