Search a number
-
+
32102300220120 = 2332513307136116417
BaseRepresentation
bin1110100110010011001100…
…01100110111101011011000
311012122221122111110020111200
413103021212030313223120
513201431002324020440
6152135332040554200
76522212632412004
oct723114614675330
9135587574406450
1032102300220120
11a2575666293a9
123725783482960
1314bb306c04440
147cda8c585704
153aa0c3e07c30
hex1d3266337ad8

32102300220120 has 384 divisors, whose sum is σ = 112813733672640. Its totient is φ = 7870098309120.

The previous prime is 32102300220091. The next prime is 32102300220121. The reversal of 32102300220120 is 2102200320123.

32102300220120 is a `hidden beast` number, since 3 + 21 + 0 + 2 + 300 + 220 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32102300220093 and 32102300220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32102300220121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1955422152 + ... + 1955438568.

Almost surely, 232102300220120 is an apocalyptic number.

32102300220120 is a gapful number since it is divisible by the number (30) 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 32102300220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56406866836320).

32102300220120 is an abundant number, since it is smaller than the sum of its proper divisors (80711433452520).

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

32102300220120 is a wasteful number, since it uses less digits than its factorization.

32102300220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18115 (or 18108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32102300220120 its reverse (2102200320123), we get a palindrome (34204500540243).

The spelling of 32102300220120 in words is "thirty-two trillion, one hundred two billion, three hundred million, two hundred twenty thousand, one hundred twenty".