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32122112240130 = 23511973672734339
BaseRepresentation
bin1110100110111000000110…
…00101101110101000000010
311012201211210020021010200120
413103130003011232220002
513202242041213141010
6152152410013201110
76523513612663203
oct723340305565002
9135654706233616
1032122112240130
11a264a02a35260
123729592490196
1314c0143672bc3
147d0a0b8d75aa
153aa8833e0e70
hex1d370316ea02

32122112240130 has 128 divisors (see below), whose sum is σ = 85200109424640. Its totient is φ = 7685895997440.

The previous prime is 32122112240087. The next prime is 32122112240173. The reversal of 32122112240130 is 3104221122123.

It is an interprime number because it is at equal distance from previous prime (32122112240087) and next prime (32122112240173).

It is a self number, because there is not a number n which added to its sum of digits gives 32122112240130.

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, 10380501 + ... + 13114839.

It is an arithmetic number, because the mean of its divisors is an integer number (665625854880).

Almost surely, 232122112240130 is an apocalyptic number.

32122112240130 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 32122112240130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42600054712320).

32122112240130 is an abundant number, since it is smaller than the sum of its proper divisors (53077997184510).

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

32122112240130 is a wasteful number, since it uses less digits than its factorization.

32122112240130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734824.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 32122112240130 its reverse (3104221122123), we get a palindrome (35226333362253).

The spelling of 32122112240130 in words is "thirty-two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 367 485 582 734 970 1067 1101 1455 1835 2134 2202 2910 3201 3670 4037 5335 5505 6402 8074 10670 11010 12111 16005 20185 24222 32010 35599 40370 60555 71198 106797 121110 177995 213594 355990 391589 533985 783178 1067970 1174767 1957945 2349534 2734339 3915890 5468678 5873835 8203017 11747670 13671695 16406034 27343390 30077729 41015085 60155458 82030170 90233187 150388645 180466374 265230883 300777290 451165935 530461766 795692649 902331870 1003502413 1326154415 1591385298 2007004826 2652308830 2917539713 3010507239 3978463245 5017512065 5835079426 6021014478 7956926490 8752619139 10035024130 11038526543 14587698565 15052536195 17505238278 22077053086 29175397130 30105072390 33115579629 43763095695 55192632715 66231159258 87526191390 97339734061 110385265430 165577898145 194679468122 292019202183 331155796290 486698670305 584038404366 973397340610 1070737074671 1460096010915 2141474149342 2920192021830 3212211224013 5353685373355 6424422448026 10707370746710 16061056120065 32122112240130