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1220430314020 = 225163758349369
BaseRepresentation
bin10001110000100111010…
…100001011101000100100
311022200010212221121002111
4101300213110023220210
5124443420130022040
62332354041050404
7154113254335531
oct21604724135044
94280125847074
101220430314020
11430644106435
1217863b786a04
138b117188b08
14430d7a25d88
1521b2d606dea
hex11c2750ba24

1220430314020 has 48 divisors (see below), whose sum is σ = 2579019287040. Its totient is φ = 485103396096.

The previous prime is 1220430313987. The next prime is 1220430314023. The reversal of 1220430314020 is 204130340221.

It is a junction number, because it is equal to n+sod(n) for n = 1220430313982 and 1220430314000.

It is not an unprimeable number, because it can be changed into a prime (1220430314023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24695896 + ... + 24745264.

It is an arithmetic number, because the mean of its divisors is an integer number (53729568480).

Almost surely, 21220430314020 is an apocalyptic number.

1220430314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220430314020 is an abundant number, since it is smaller than the sum of its proper divisors (1358588973020).

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

1220430314020 is a wasteful number, since it uses less digits than its factorization.

1220430314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57124 (or 57122 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1220430314020 its reverse (204130340221), we get a palindrome (1424560654241).

The spelling of 1220430314020 in words is "one trillion, two hundred twenty billion, four hundred thirty million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 163 326 652 815 1630 3260 7583 15166 30332 37915 49369 75830 98738 151660 197476 246845 493690 987380 1236029 2472058 4944116 6180145 8047147 12360290 16094294 24720580 32188588 40235735 80471470 160942940 374365127 748730254 1497460508 1871825635 3743651270 7487302540 61021515701 122043031402 244086062804 305107578505 610215157010 1220430314020