Search a number
-
+
32213131513000 = 2353171894890089
BaseRepresentation
bin1110101001100001101000…
…10000101100110010101000
311020001112201112002021022221
413110300310100230302220
513210234443131404000
6152302301444123424
76533215300020604
oct724606420546250
9136045645067287
1032213131513000
11a29a56aa43119
123743154696574
1314c88ba6bc809
147d51a3d1c504
153ace0dea961a
hex1d4c3442cca8

32213131513000 has 64 divisors (see below), whose sum is σ = 79812770590800. Its totient is φ = 12127296563200.

The previous prime is 32213131512977. The next prime is 32213131513009. The reversal of 32213131513000 is 31513131223.

It can be written as a sum of positive squares in 8 ways, for example, as 821158567684 + 31391972945316 = 906178^2 + 5602854^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (32213131513009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947428045 + ... + 947462044.

Almost surely, 232213131513000 is an apocalyptic number.

It is an amenable number.

32213131513000 is an abundant number, since it is smaller than the sum of its proper divisors (47599639077800).

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

32213131513000 is a wasteful number, since it uses less digits than its factorization.

32213131513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894890127 (or 1894890113 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 32213131513000 its reverse (31513131223), we get a palindrome (32244644644223).

The spelling of 32213131513000 in words is "thirty-two trillion, two hundred thirteen billion, one hundred thirty-one million, five hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 1894890089 3789780178 7579560356 9474450445 15159120712 18948900890 32213131513 37897801780 47372252225 64426263026 75795603560 94744504450 128852526052 161065657565 189489008900 236861261125 257705052104 322131315130 378978017800 473722522250 644262630260 805328287825 947445044500 1288525260520 1610656575650 1894890089000 3221313151300 4026641439125 6442626302600 8053282878250 16106565756500 32213131513000