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211322300130 = 23255344302369
BaseRepresentation
bin1100010011001111001…
…0100110011011100010
3202012110102012010101200
43010303302212123202
511430242002101010
6241025150142030
721160522625244
oct3046362463342
9665412163350
10211322300130
1181691a24937
1234b574b1916
1316c09c51956
14a329acc094
15576c479cc0
hex3133ca66e2

211322300130 has 48 divisors (see below), whose sum is σ = 559804747320. Its totient is φ = 55289355264.

The previous prime is 211322300087. The next prime is 211322300131. The reversal of 211322300130 is 31003223112.

211322300130 is a `hidden beast` number, since 2 + 11 + 322 + 300 + 1 + 30 = 666.

211322300130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 115122454209 + 96199845921 = 339297^2 + 310161^2 .

It is a super-2 number, since 2×2113223001302 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211322300131) 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 23 ways as a sum of consecutive naturals, for example, 22146415 + ... + 22155954.

Almost surely, 2211322300130 is an apocalyptic number.

211322300130 is an abundant number, since it is smaller than the sum of its proper divisors (348482447190).

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

211322300130 is a wasteful number, since it uses less digits than its factorization.

211322300130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44302435 (or 44302432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211322300130 its reverse (31003223112), we get a palindrome (242325523242).

The spelling of 211322300130 in words is "two hundred eleven billion, three hundred twenty-two million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 44302369 88604738 132907107 221511845 265814214 398721321 443023690 664535535 797442642 1329071070 1993606605 2348025557 3987213210 4696051114 7044076671 11740127785 14088153342 21132230013 23480255570 35220383355 42264460026 70440766710 105661150065 211322300130