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20352130011972 = 22331171592392991
BaseRepresentation
bin1001010000010100110010…
…11110101101001101000100
32200001122101221012112011000
410220022121132231031010
510131422130240340342
6111141350042213300
74200251516522403
oct450123136551504
980048357175130
1020352130011972
1165373208a3960
1223484671b4230
13b4827524a775
1450509694d63a
15254613dce44c
hex1282997ad344

20352130011972 has 96 divisors (see below), whose sum is σ = 57569644339200. Its totient is φ = 6166448071200.

The previous prime is 20352130011971. The next prime is 20352130011973. The reversal of 20352130011972 is 27911003125302.

It is a happy number.

20352130011972 is a `hidden beast` number, since 2 + 0 + 3 + 521 + 30 + 0 + 11 + 97 + 2 = 666.

20352130011972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (20352130011971) and next prime (20352130011973).

It is a super-2 number, since 2×203521300119722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20352130011971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7308397 + ... + 9701387.

It is an arithmetic number, because the mean of its divisors is an integer number (599683795200).

Almost surely, 220352130011972 is an apocalyptic number.

20352130011972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20352130011972 is an abundant number, since it is smaller than the sum of its proper divisors (37217514327228).

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

20352130011972 is a wasteful number, since it uses less digits than its factorization.

20352130011972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400174 (or 2400166 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 20352130011972 in words is "twenty trillion, three hundred fifty-two billion, one hundred thirty million, eleven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 7159 14318 21477 28636 42954 64431 78749 85908 128862 157498 193293 236247 257724 314996 386586 472494 708741 773172 944988 1417482 2126223 2392991 2834964 4252446 4785982 7178973 8504892 9571964 14357946 21536919 26322901 28715892 43073838 52645802 64610757 78968703 86147676 105291604 129221514 157937406 236906109 258443028 315874812 473812218 710718327 947624436 1421436654 2842873308 17131422569 34262845138 51394267707 68525690276 102788535414 154182803121 188445648259 205577070828 308365606242 376891296518 462548409363 565336944777 616731212484 753782593036 925096818726 1130673889554 1696010834331 1850193637452 2261347779108 3392021668662 5088032502993 6784043337324 10176065005986 20352130011972