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32130321312 = 2537912733359
BaseRepresentation
bin11101111011000111…
…011100101110100000
310001221012212102211110
4131323013130232200
51011300330240222
622432132143320
72215135140105
oct357307345640
9101835772743
1032130321312
1112698801a61
126288467b40
13305083b25b
1417ab348aac
15c80b8030c
hex77b1dcba0

32130321312 has 96 divisors (see below), whose sum is σ = 86084812800. Its totient is φ = 10490957568.

The previous prime is 32130321259. The next prime is 32130321323. The reversal of 32130321312 is 21312303123.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×321303213122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946489 + ... + 979847.

It is an arithmetic number, because the mean of its divisors is an integer number (896716800).

Almost surely, 232130321312 is an apocalyptic number.

32130321312 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 32130321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43042406400).

32130321312 is an abundant number, since it is smaller than the sum of its proper divisors (53954491488).

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

32130321312 is a wasteful number, since it uses less digits than its factorization.

32130321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33578 (or 33570 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32130321312 its reverse (21312303123), we get a palindrome (53442624435).

The spelling of 32130321312 in words is "thirty-two billion, one hundred thirty million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 127 158 237 254 316 381 474 508 632 762 948 1016 1264 1524 1896 2032 2528 3048 3792 4064 6096 7584 10033 12192 20066 30099 33359 40132 60198 66718 80264 100077 120396 133436 160528 200154 240792 266872 321056 400308 481584 533744 800616 963168 1067488 1601232 2635361 3202464 4236593 5270722 7906083 8473186 10541444 12709779 15812166 16946372 21082888 25419558 31624332 33892744 42165776 50839116 63248664 67785488 84331552 101678232 126497328 135570976 203356464 252994656 334690847 406712928 669381694 1004072541 1338763388 2008145082 2677526776 4016290164 5355053552 8032580328 10710107104 16065160656 32130321312