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1331013210 = 235313747823
BaseRepresentation
bin100111101010101…
…1010011001011010
310102202112110212120
41033111122121122
510211214410320
6340024122110
744661265662
oct11725323132
93382473776
101331013210
1162335aa1a
12311906336
131829a61a7
14c8ab51a2
157bcb9440
hex4f55a65a

1331013210 has 128 divisors (see below), whose sum is σ = 3462856704. Its totient is φ = 326695680.

The previous prime is 1331013209. The next prime is 1331013239. The reversal of 1331013210 is 123101331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1331013210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616859 + ... + 1617681.

It is an arithmetic number, because the mean of its divisors is an integer number (27053568).

Almost surely, 21331013210 is an apocalyptic number.

1331013210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731428352).

1331013210 is an abundant number, since it is smaller than the sum of its proper divisors (2131843494).

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

1331013210 is a wasteful number, since it uses less digits than its factorization.

1331013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1331013210 is about 36483.0537373175. The cubic root of 1331013210 is about 1100.0036391064.

Adding to 1331013210 its reverse (123101331), we get a palindrome (1454114541).

The spelling of 1331013210 in words is "one billion, three hundred thirty-one million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 47 62 74 93 94 111 141 155 185 186 222 235 282 310 370 465 470 555 705 823 930 1110 1147 1410 1457 1646 1739 2294 2469 2914 3441 3478 4115 4371 4938 5217 5735 6882 7285 8230 8695 8742 10434 11470 12345 14570 17205 17390 21855 24690 25513 26085 30451 34410 38681 43710 51026 52170 53909 60902 76539 77362 91353 107818 116043 127565 152255 153078 161727 182706 193405 232086 255130 269545 304510 323454 382695 386810 456765 539090 580215 765390 808635 913530 943981 1160430 1199111 1431197 1617270 1887962 2398222 2831943 2862394 3597333 4293591 4719905 5663886 5995555 7155985 7194666 8587182 9439810 11991110 14159715 14311970 17986665 21467955 28319430 35973330 42935910 44367107 88734214 133101321 221835535 266202642 443671070 665506605 1331013210