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1300206020032 = 26412711828433
BaseRepresentation
bin10010111010111010010…
…100010110010111000000
311121022001121000100120201
4102322322110112113000
5132300310220120112
62433150103214544
7162636213551023
oct22727224262700
94538047010521
101300206020032
11461461447087
1218bba4447454
13957bb9ab89a
1446d04a971ba
1523c4c06d257
hex12eba5165c0

1300206020032 has 56 divisors (see below), whose sum is σ = 2652779812032. Its totient is φ = 631906099200.

The previous prime is 1300206019997. The next prime is 1300206020039. The reversal of 1300206020032 is 2300206020031.

It is a junction number, because it is equal to n+sod(n) for n = 1300206019991 and 1300206020009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300206020039) 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 7 ways as a sum of consecutive naturals, for example, 203113 + ... + 1625320.

It is an arithmetic number, because the mean of its divisors is an integer number (47371068072).

Almost surely, 21300206020032 is an apocalyptic number.

It is an amenable number.

1300206020032 is an abundant number, since it is smaller than the sum of its proper divisors (1352573792000).

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

1300206020032 is a wasteful number, since it uses less digits than its factorization.

1300206020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828757 (or 1828747 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Subtracting 1300206020032 from its reverse (2300206020031), we obtain a palindrome (999999999999).

The spelling of 1300206020032 in words is "one trillion, three hundred billion, two hundred six million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 271 328 542 656 1084 1312 2168 2624 4336 8672 11111 17344 22222 44444 88888 177776 355552 711104 1828433 3656866 7313732 14627464 29254928 58509856 74965753 117019712 149931506 299863012 495505343 599726024 991010686 1199452048 1982021372 2398904096 3964042744 4797808192 7928085488 15856170976 20315719063 31712341952 40631438126 81262876252 162525752504 325051505008 650103010016 1300206020032