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32123112132330 = 23351314911849699
BaseRepresentation
bin1110100110111001111101…
…01100000000111011101010
311012201221100220201220221000
413103130332230000323222
513202301113201213310
6152153053132255430
76523550443634622
oct723347654007352
9135657326656830
1032123112132330
11a26537639504a
123729811311576
1314c0272872cab
147d0aa4617882
153aa8e10a04c0
hex1d373eb00eea

32123112132330 has 128 divisors (see below), whose sum is σ = 86491380096000. Its totient is φ = 8483454907200.

The previous prime is 32123112132323. The next prime is 32123112132361. The reversal of 32123112132330 is 3323121132123.

32123112132330 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 311 + 2 + 13 + 2 + 330 = 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 = 32123112132294 and 32123112132303.

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, 16441821 + ... + 18291519.

It is an arithmetic number, because the mean of its divisors is an integer number (675713907000).

Almost surely, 232123112132330 is an apocalyptic number.

32123112132330 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 32123112132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43245690048000).

32123112132330 is an abundant number, since it is smaller than the sum of its proper divisors (54368267963670).

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

32123112132330 is a wasteful number, since it uses less digits than its factorization.

32123112132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850337 (or 1850331 counting only the distinct ones).

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

Adding to 32123112132330 its reverse (3323121132123), we get a palindrome (35446233264453).

The spelling of 32123112132330 in words is "thirty-two trillion, one hundred twenty-three billion, one hundred twelve million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 262 270 393 491 655 786 982 1179 1310 1473 1965 2358 2455 2946 3537 3930 4419 4910 5895 7074 7365 8838 11790 13257 14730 17685 22095 26514 35370 44190 64321 66285 128642 132570 192963 321605 385926 578889 643210 964815 1157778 1736667 1849699 1929630 2894445 3473334 3699398 5549097 5788890 8683335 9248495 11098194 16647291 17366670 18496990 27745485 33294582 49941873 55490970 83236455 99883746 166472910 242310569 249709365 484621138 499418730 726931707 908202209 1211552845 1453863414 1816404418 2180795121 2423105690 2724606627 3634658535 4361590242 4541011045 5449213254 6542385363 7269317070 8173819881 9082022090 10903975605 13084770726 13623033135 16347639762 21807951210 24521459643 27246066270 32711926815 40869099405 49042919286 65423853630 81738198810 118974489379 122607298215 237948978758 245214596430 356923468137 594872446895 713846936274 1070770404411 1189744893790 1784617340685 2141540808822 3212311213233 3569234681370 5353852022055 6424622426466 10707704044110 16061556066165 32123112132330