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213142144232420 = 2251319103418894981
BaseRepresentation
bin110000011101101000000101…
…110010110010101111100100
31000221200012010111120202111122
4300131220011302302233210
5210414110102410414140
62033152052130153112
762616004013166044
oct6035500562625744
91027605114522448
10213142144232420
1161a060918a6797
121baa4460a22798
1391c12aab13260
143a8c1c5d59724
1519994b27eaab5
hexc1da05cb2be4

213142144232420 has 96 divisors (see below), whose sum is σ = 512325318785280. Its totient is φ = 73832753594880.

The previous prime is 213142144232419. The next prime is 213142144232429. The reversal of 213142144232420 is 24232441241312.

It is not an unprimeable number, because it can be changed into a prime (213142144232429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208938671 + ... + 209956310.

It is an arithmetic number, because the mean of its divisors is an integer number (5336722070680).

Almost surely, 2213142144232420 is an apocalyptic number.

213142144232420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213142144232420 is an abundant number, since it is smaller than the sum of its proper divisors (299183174552860).

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

213142144232420 is a wasteful number, since it uses less digits than its factorization.

213142144232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418895125 (or 418895123 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 213142144232420 its reverse (24232441241312), we get a palindrome (237374585473732).

The spelling of 213142144232420 in words is "two hundred thirteen trillion, one hundred forty-two billion, one hundred forty-four million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 103 130 190 206 247 260 380 412 494 515 988 1030 1235 1339 1957 2060 2470 2678 3914 4940 5356 6695 7828 9785 13390 19570 25441 26780 39140 50882 101764 127205 254410 508820 418894981 837789962 1675579924 2094474905 4188949810 5445634753 7959004639 8377899620 10891269506 15918009278 21782539012 27228173765 31836018556 39795023195 43146183043 54456347530 79590046390 86292366086 103467060307 108912695060 159180092780 172584732172 206934120614 215730915215 413868241228 431461830430 517335301535 560900379559 819777477817 862923660860 1034670603070 1121800759118 1639554955634 2069341206140 2243601518236 2804501897795 3279109911268 4098887389085 5609003795590 8197774778170 10657107211621 11218007591180 16395549556340 21314214423242 42628428846484 53285536058105 106571072116210 213142144232420