Search a number
-
+
3201231000 = 233531197007
BaseRepresentation
bin1011111011001110…
…1110100010011000
322021002200101101010
42332303232202120
523024003343000
61245353253520
7142221004662
oct27663564230
98232611333
103201231000
1113a3014260
127541042a0
133c02acc36
14225229532
1513b092d50
hexbecee898

3201231000 has 128 divisors (see below), whose sum is σ = 10895938560. Its totient is φ = 776048000.

The previous prime is 3201230993. The next prime is 3201231023. The reversal of 3201231000 is 1321023.

It is a happy number.

It is a super-2 number, since 2×32012310002 = 20495759830722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 15504 + ... + 81503.

It is an arithmetic number, because the mean of its divisors is an integer number (85124520).

Almost surely, 23201231000 is an apocalyptic number.

3201231000 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 3201231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447969280).

3201231000 is an abundant number, since it is smaller than the sum of its proper divisors (7694707560).

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

3201231000 is a wasteful number, since it uses less digits than its factorization.

3201231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97042 (or 97028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3201231000 is about 56579.4220543123. The cubic root of 3201231000 is about 1473.8015353468.

Adding to 3201231000 its reverse (1321023), we get a palindrome (3202552023).

It can be divided in two parts, 320123 and 1000, that added together give a palindrome (321123).

The spelling of 3201231000 in words is "three billion, two hundred one million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 97007 194014 291021 388028 485035 582042 776056 970070 1067077 1164084 1455105 1940140 2134154 2328168 2425175 2910210 3201231 3880280 4268308 4850350 5335385 5820420 6402462 7275525 8536616 9700700 10670770 11640840 12125875 12804924 14551050 16006155 19401400 21341540 24251750 25609848 26676925 29102100 32012310 36377625 42683080 48503500 53353850 58204200 64024620 72755250 80030775 97007000 106707700 128049240 133384625 145510500 160061550 213415400 266769250 291021000 320123100 400153875 533538500 640246200 800307750 1067077000 1600615500 3201231000