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233031023120 = 24573711246671
BaseRepresentation
bin1101100100000110111…
…0110011101000010000
3211021111022222111221002
43121001232303220100
512304221420214440
6255015235321132
722556504004650
oct3310156635020
9737438874832
10233031023120
118a911a34815
12391b57501a8
1318c8963b37c
14b3c8cca360
1560dd21e115
hex3641bb3a10

233031023120 has 80 divisors (see below), whose sum is σ = 635931821568. Its totient is φ = 77736983040.

The previous prime is 233031023119. The next prime is 233031023221. The reversal of 233031023120 is 21320130332.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 233031023092 and 233031023101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5602616 + ... + 5644055.

Almost surely, 2233031023120 is an apocalyptic number.

233031023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233031023120 is an abundant number, since it is smaller than the sum of its proper divisors (402900798448).

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

233031023120 is a wasteful number, since it uses less digits than its factorization.

233031023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11246728 (or 11246722 counting only the distinct ones).

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

Adding to 233031023120 its reverse (21320130332), we get a palindrome (254351153452).

The spelling of 233031023120 in words is "two hundred thirty-three billion, thirty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 4144 5180 10360 20720 11246671 22493342 44986684 56233355 78726697 89973368 112466710 157453394 179946736 224933420 314906788 393633485 416126827 449866840 629813576 787266970 832253654 899733680 1259627152 1574533940 1664507308 2080634135 2912887789 3149067880 3329014616 4161268270 5825775578 6298135760 6658029232 8322536540 11651551156 14564438945 16645073080 23303102312 29128877890 33290146160 46606204624 58257755780 116515511560 233031023120