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32100331242 = 2371946786137
BaseRepresentation
bin11101111001010101…
…000010111011101010
310001212010102210012010
4131321111002323222
51011220141044432
622425141300350
72214322212360
oct357125027352
9101763383163
1032100331242
1112682888a81
12627a4046b6
13304756a955
1417a737d630
15c7d2093cc
hex779542eea

32100331242 has 64 divisors (see below), whose sum is σ = 77400161280. Its totient is φ = 8670105216.

The previous prime is 32100331229. The next prime is 32100331259. The reversal of 32100331242 is 24213300123.

It is a super-2 number, since 2×321003312422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329598 + ... + 415734.

It is an arithmetic number, because the mean of its divisors is an integer number (1209377520).

Almost surely, 232100331242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32100331242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38700080640).

32100331242 is an abundant number, since it is smaller than the sum of its proper divisors (45299830038).

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

32100331242 is a wasteful number, since it uses less digits than its factorization.

32100331242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86635.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32100331242 its reverse (24213300123), we get a palindrome (56313631365).

The spelling of 32100331242 in words is "thirty-two billion, one hundred million, three hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 467 798 934 1401 2802 3269 6538 8873 9807 17746 19614 26619 53238 62111 86137 124222 172274 186333 258411 372666 516822 602959 1205918 1636603 1808877 3273206 3617754 4909809 9819618 11456221 22912442 34368663 40225979 68737326 80451958 120677937 241355874 281581853 563163706 764293601 844745559 1528587202 1689491118 2292880803 4585761606 5350055207 10700110414 16050165621 32100331242