Search a number
-
+
1220003010 = 232573185693
BaseRepresentation
bin100100010110111…
…1100010011000010
310011000122120111200
41020231330103002
54444310044020
6321020522030
742142566042
oct11055742302
93130576450
101220003010
11576729356
122a06b0316
131659a9095
14b8059722
157218c590
hex48b7c4c2

1220003010 has 48 divisors (see below), whose sum is σ = 3215477304. Its totient is φ = 320875776.

The previous prime is 1220002999. The next prime is 1220003023. The reversal of 1220003010 is 103000221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1184254569 + 35748441 = 34413^2 + 5979^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1220002983 and 1220003001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86277 + ... + 99416.

Almost surely, 21220003010 is an apocalyptic number.

1220003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1220003010 is an abundant number, since it is smaller than the sum of its proper divisors (1995474294).

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

1220003010 is a wasteful number, since it uses less digits than its factorization.

1220003010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185779 (or 185776 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1220003010 is about 34928.5414811440. The cubic root of 1220003010 is about 1068.5306089117.

Adding to 1220003010 its reverse (103000221), we get a palindrome (1323003231).

The spelling of 1220003010 in words is "one billion, two hundred twenty million, three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 185693 371386 557079 928465 1114158 1671237 1856930 2785395 3342474 5570790 8356185 13555589 16712370 27111178 40666767 67777945 81333534 122000301 135555890 203333835 244000602 406667670 610001505 1220003010