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10332032122112 = 28295326258621
BaseRepresentation
bin1001011001011001110100…
…0110101011110100000000
31100120201210002020200102112
42112112131012223310000
52323240000210401422
633550245305434452
72114315246665031
oct226263506536400
940521702220375
1010332032122112
113323876860808
1211aa50079ba28
1359c3ca36242c
1427a104536a88
1512db5e835ee2
hex9659d1abd00

10332032122112 has 72 divisors (see below), whose sum is σ = 21737412464040. Its totient is φ = 4893766492160.

The previous prime is 10332032122103. The next prime is 10332032122117. The reversal of 10332032122112 is 21122123023301.

It can be written as a sum of positive squares in 4 ways, for example, as 5816509121536 + 4515523000576 = 2411744^2 + 2124976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332032122117) 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, 12735839 + ... + 13522782.

It is an arithmetic number, because the mean of its divisors is an integer number (301908506445).

Almost surely, 210332032122112 is an apocalyptic number.

It is an amenable number.

10332032122112 is an abundant number, since it is smaller than the sum of its proper divisors (11405380341928).

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

10332032122112 is an equidigital number, since it uses as much as digits as its factorization.

10332032122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26258719 (or 26258705 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10332032122112 its reverse (21122123023301), we get a palindrome (31454155145413).

The spelling of 10332032122112 in words is "ten trillion, three hundred thirty-two billion, thirty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 232 256 424 464 848 928 1537 1696 1856 3074 3392 3712 6148 6784 7424 12296 13568 24592 49184 98368 196736 393472 26258621 52517242 105034484 210068968 420137936 761500009 840275872 1391706913 1523000018 1680551744 2783413826 3046000036 3361103488 5566827652 6092000072 6722206976 11133655304 12184000144 22267310608 24368000288 40359500477 44534621216 48736000576 80719000954 89069242432 97472001152 161438001908 178138484864 194944002304 322876003816 356276969728 645752007632 1291504015264 2583008030528 5166016061056 10332032122112