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213123020430 = 235291213201953
BaseRepresentation
bin1100011001111100011…
…1110011011010001110
3202101002220120012021010
43012133013303122032
511442433443123210
6241523553550050
721253246532535
oct3063707633216
9671086505233
10213123020430
1182426430731
123537a575326
1317136034818
14a45ad1131c
1558255c6920
hex319f1f368e

213123020430 has 64 divisors (see below), whose sum is σ = 529571856960. Its totient is φ = 54827544576.

The previous prime is 213123020423. The next prime is 213123020447. The reversal of 213123020430 is 34020321312.

It is a junction number, because it is equal to n+sod(n) for n = 213123020397 and 213123020406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954334 + ... + 1156286.

It is an arithmetic number, because the mean of its divisors is an integer number (8274560265).

Almost surely, 2213123020430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213123020430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264785928480).

213123020430 is an abundant number, since it is smaller than the sum of its proper divisors (316448836530).

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

213123020430 is a wasteful number, since it uses less digits than its factorization.

213123020430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203205.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213123020430 its reverse (34020321312), we get a palindrome (247143341742).

The spelling of 213123020430 in words is "two hundred thirteen billion, one hundred twenty-three million, twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1213 2426 3639 6065 7278 12130 18195 35177 36390 70354 105531 175885 201953 211062 351770 403906 527655 605859 1009765 1055310 1211718 2019530 3029295 5856637 6058590 11713274 17569911 29283185 35139822 58566370 87849555 175699110 244968989 489937978 734906967 1224844945 1469813934 2449689890 3674534835 7104100681 7349069670 14208201362 21312302043 35520503405 42624604086 71041006810 106561510215 213123020430