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31233000420 = 22325237544203
BaseRepresentation
bin11101000101101000…
…011100001111100100
32222121200101210222100
4131011220130033210
51002431122003140
622203115332100
72153661060156
oct350550341744
988550353870
1031233000420
111227823a546
126077a51030
132c3997214b
1417240c8ad6
15c2bed2530
hex745a1c3e4

31233000420 has 72 divisors (see below), whose sum is σ = 98859249216. Its totient is φ = 7966677312.

The previous prime is 31233000419. The next prime is 31233000427. The reversal of 31233000420 is 2400033213.

31233000420 is a `hidden beast` number, since 312 + 330 + 0 + 0 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31233000393 and 31233000402.

It is not an unprimeable number, because it can be changed into a prime (31233000427) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3767962 + ... + 3776241.

It is an arithmetic number, because the mean of its divisors is an integer number (1373045128).

Almost surely, 231233000420 is an apocalyptic number.

31233000420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31233000420 is an abundant number, since it is smaller than the sum of its proper divisors (67626248796).

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

31233000420 is a wasteful number, since it uses less digits than its factorization.

31233000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544241 (or 7544236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 31233000420 its reverse (2400033213), we get a palindrome (33633033633).

The spelling of 31233000420 in words is "thirty-one billion, two hundred thirty-three million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 7544203 15088406 22632609 30176812 37721015 45265218 67897827 75442030 90530436 113163045 135795654 150884060 173516669 226326090 271591308 339489135 347033338 452652180 520550007 678978270 694066676 867583345 1041100014 1357956540 1561650021 1735166690 2082200028 2602750035 3123300042 3470333380 5205500070 6246600084 7808250105 10411000140 15616500210 31233000420