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32113122303232 = 283125911561757
BaseRepresentation
bin1110100110100111010110…
…01111110101110100000000
311012200222120201010000122201
413103103223033311310000
513202120133302200412
6152144321551442544
76523045051533505
oct723235317656400
9135628521100581
1032113122303232
11a26110a397643
1237278a3826454
1314bc340007109
147d03d79814ac
153aa509050e57
hex1d34eb3f5d00

32113122303232 has 72 divisors (see below), whose sum is σ = 66194150787072. Its totient is φ = 15532600473600.

The previous prime is 32113122303209. The next prime is 32113122303233. The reversal of 32113122303232 is 23230322131123.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32113122303232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32113122303233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19781298 + ... + 21343054.

It is an arithmetic number, because the mean of its divisors is an integer number (919363205376).

Almost surely, 232113122303232 is an apocalyptic number.

32113122303232 is a gapful number since it is divisible by the number (32) 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 32113122303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33097075393536).

32113122303232 is an abundant number, since it is smaller than the sum of its proper divisors (34081028483840).

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

32113122303232 is a wasteful number, since it uses less digits than its factorization.

32113122303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564395 (or 1564381 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 32113122303232 its reverse (23230322131123), we get a palindrome (55343444434355).

The spelling of 32113122303232 in words is "thirty-two trillion, one hundred thirteen billion, one hundred twenty-two million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 2591 3968 5182 7936 10364 20728 41456 80321 82912 160642 165824 321284 331648 642568 663296 1285136 1561757 2570272 3123514 5140544 6247028 10281088 12494056 20562176 24988112 48414467 49976224 96828934 99952448 193657868 199904896 387315736 399809792 774631472 1549262944 3098525888 4046512387 6197051776 8093024774 12394103552 16186049548 32372099096 64744198192 125441883997 129488396384 250883767994 258976792768 501767535988 517953585536 1003535071976 1035907171072 2007070143952 4014140287904 8028280575808 16056561151616 32113122303232