Search a number
-
+
32240113133100 = 22352130782224211
BaseRepresentation
bin1110101010010011111000…
…11111011010011000101100
311020011010100220202120212220
413111021330133122120230
513211210222430224400
6152322523053555340
76535162026013215
oct725117437323054
9136133326676786
1032240113133100
11a2aaa56402704
1237484247a5b50
1314cb2ca6364b2
147d660353840c
153ad98cb0d7a0
hex1d527c7da62c

32240113133100 has 72 divisors (see below), whose sum is σ = 93352765748928. Its totient is φ = 8590785460800.

The previous prime is 32240113133099. The next prime is 32240113133101. The reversal of 32240113133100 is 133131104223.

It is an interprime number because it is at equal distance from previous prime (32240113133099) and next prime (32240113133101).

It is a super-3 number, since 3×322401131331003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (32240113133101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40720006 + ... + 41504205.

Almost surely, 232240113133100 is an apocalyptic number.

32240113133100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32240113133100 is an abundant number, since it is smaller than the sum of its proper divisors (61112652615828).

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

32240113133100 is a wasteful number, since it uses less digits than its factorization.

32240113133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82225535 (or 82225528 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 32240113133100 its reverse (133131104223), we get a palindrome (32373244237323).

The spelling of 32240113133100 in words is "thirty-two trillion, two hundred forty billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1307 2614 3921 5228 6535 7842 13070 15684 19605 26140 32675 39210 65350 78420 98025 130700 196050 392100 82224211 164448422 246672633 328896844 411121055 493345266 822242110 986690532 1233363165 1644484220 2055605275 2466726330 4111210550 4933452660 6166815825 8222421100 12333631650 24667263300 107467043777 214934087554 322401131331 429868175108 537335218885 644802262662 1074670437770 1289604525324 1612005656655 2149340875540 2686676094425 3224011313310 5373352188850 6448022626620 8060028283275 10746704377700 16120056566550 32240113133100