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31231121332230 = 23351131367748819
BaseRepresentation
bin1110001100111100011111…
…11001001001100000000110
311002120122222112200100111000
413012132033321021200012
513043142314030112410
6150231213513554130
76402242205142251
oct706361771114006
9132518875610430
1031231121332230
119a51053886726
123604973415946
13145710b4cb631
1479d846c12098
153925d6c89dc0
hex1c678fe49806

31231121332230 has 128 divisors (see below), whose sum is σ = 84081583180800. Its totient is φ = 8248547768832.

The previous prime is 31231121332207. The next prime is 31231121332277. The reversal of 31231121332230 is 3223312113213.

31231121332230 is a `hidden beast` number, since 3 + 1 + 2 + 311 + 21 + 3 + 322 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31231121332194 and 31231121332203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41332761 + ... + 42081579.

It is an arithmetic number, because the mean of its divisors is an integer number (656887368600).

Almost surely, 231231121332230 is an apocalyptic number.

31231121332230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31231121332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42040791590400).

31231121332230 is an abundant number, since it is smaller than the sum of its proper divisors (52850461848570).

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

31231121332230 is a wasteful number, since it uses less digits than its factorization.

31231121332230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750315 (or 750309 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31231121332230 its reverse (3223312113213), we get a palindrome (34454433445443).

The spelling of 31231121332230 in words is "thirty-one trillion, two hundred thirty-one billion, one hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1367 1695 2034 2734 3051 3390 4101 5085 6102 6835 8202 10170 12303 13670 15255 20505 24606 30510 36909 41010 61515 73818 123030 154471 184545 308942 369090 463413 748819 772355 926826 1390239 1497638 1544710 2246457 2317065 2780478 3744095 4170717 4492914 4634130 6739371 6951195 7488190 8341434 11232285 13478742 13902390 20218113 20853585 22464570 33696855 40436226 41707170 67393710 84616547 101090565 169233094 202181130 253849641 423082735 507699282 761548923 846165470 1023635573 1269248205 1523097846 2047271146 2284646769 2538496410 3070906719 3807744615 4569293538 5118177865 6141813438 7615489230 9212720157 10236355730 11423233845 15354533595 18425440314 22846467690 27638160471 30709067190 46063600785 55276320942 92127201570 115670819749 138190802355 231341639498 276381604710 347012459247 578354098745 694024918494 1041037377741 1156708197490 1735062296235 2082074755482 3123112133223 3470124592470 5205186888705 6246224266446 10410373777410 15615560666115 31231121332230