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213122132020 = 22571523999541
BaseRepresentation
bin1100011001111100010…
…0011010100000110100
3202101002211220001121001
43012133010122200310
511442433231211040
6241523522533044
721253236142450
oct3063704324064
9671084801531
10213122132020
1182425984206
123537a207184
1317135ab3335
14a45ab5d660
15582549d59a
hex319f11a834

213122132020 has 48 divisors (see below), whose sum is σ = 511829474688. Its totient is φ = 73022394240.

The previous prime is 213122132011. The next prime is 213122132063. The reversal of 213122132020 is 20231221312.

It is a congruent number.

It is an unprimeable number.

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, 286551 + ... + 712990.

It is an arithmetic number, because the mean of its divisors is an integer number (10663114056).

Almost surely, 2213122132020 is an apocalyptic number.

213122132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122132020 is an abundant number, since it is smaller than the sum of its proper divisors (298707342668).

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

213122132020 is a wasteful number, since it uses less digits than its factorization.

213122132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001080 (or 1001078 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213122132020 its reverse (20231221312), we get a palindrome (233353353332).

The spelling of 213122132020 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1523 3046 6092 7615 10661 15230 21322 30460 42644 53305 106610 213220 999541 1999082 3998164 4997705 6996787 9995410 13993574 19990820 27987148 34983935 69967870 139935740 1522300943 3044601886 6089203772 7611504715 10656106601 15223009430 21312213202 30446018860 42624426404 53280533005 106561066010 213122132020