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1321211340 = 2232530723909
BaseRepresentation
bin100111011000000…
…0001010111001100
310102002002111020100
41032300001113030
510201212230330
6335034051100
744512053051
oct11660012714
93362074210
101321211340
116188756a9
1230a579a90
13180953877
14c7683028
157aed0060
hex4ec015cc

1321211340 has 72 divisors (see below), whose sum is σ = 4020896880. Its totient is φ = 351160704.

The previous prime is 1321211329. The next prime is 1321211357. The reversal of 1321211340 is 431121231.

1321211340 is a `hidden beast` number, since 1 + 321 + 2 + 1 + 1 + 340 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43306 + ... + 67214.

It is an arithmetic number, because the mean of its divisors is an integer number (55845790).

Almost surely, 21321211340 is an apocalyptic number.

1321211340 is a gapful number since it is divisible by the number (10) 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 1321211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010448440).

1321211340 is an abundant number, since it is smaller than the sum of its proper divisors (2699685540).

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

1321211340 is a wasteful number, since it uses less digits than its factorization.

1321211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231 (or 24226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1321211340 is about 36348.4709444565. The cubic root of 1321211340 is about 1097.2967617116.

Adding to 1321211340 its reverse (431121231), we get a palindrome (1752332571).

The spelling of 1321211340 in words is "one billion, three hundred twenty-one million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 9210 11052 13815 18420 23909 27630 47818 55260 71727 95636 119545 143454 215181 239090 286908 358635 430362 478180 717270 860724 1075905 1434540 2151810 4303620 7340063 14680126 22020189 29360252 36700315 44040378 66060567 73400630 88080756 110100945 132121134 146801260 220201890 264242268 330302835 440403780 660605670 1321211340