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213043331000 = 23539714811483
BaseRepresentation
bin1100011001101001011…
…1110011111110111000
3202100220100121112220202
43012122113303332320
511442303043043000
6241512025541332
721251261302043
oct3063227637670
9670810545822
10213043331000
11823954518a5
1235357944848
1317122682906
14a4504c9c5a
15581d5d4dd5
hex319a5f3fb8

213043331000 has 128 divisors (see below), whose sum is σ = 504340724160. Its totient is φ = 84225024000.

The previous prime is 213043330991. The next prime is 213043331021. The reversal of 213043331000 is 133340312.

It is a super-2 number, since 2×2130433310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 143656259 + ... + 143657741.

Almost surely, 2213043331000 is an apocalyptic number.

213043331000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213043331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252170362080).

213043331000 is an abundant number, since it is smaller than the sum of its proper divisors (291297393160).

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

213043331000 is a wasteful number, since it uses less digits than its factorization.

213043331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213043331000 its reverse (133340312), we get a palindrome (213176671312).

The spelling of 213043331000 in words is "two hundred thirteen billion, forty-three million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1481 1483 1940 2425 2962 2966 3880 4850 5924 5932 7405 7415 9700 11848 11864 12125 14810 14830 19400 24250 29620 29660 37025 37075 48500 59240 59320 74050 74150 97000 143657 143851 148100 148300 185125 185375 287314 287702 296200 296600 370250 370750 574628 575404 718285 719255 740500 741500 1149256 1150808 1436570 1438510 1481000 1483000 2196323 2873140 2877020 3591425 3596275 4392646 5746280 5754040 7182850 7192550 8785292 10981615 14365700 14385100 17570584 17957125 17981375 21963230 28731400 28770200 35914250 35962750 43926460 54908075 71828500 71925500 87852920 109816150 143657000 143851000 213043331 219632300 274540375 426086662 439264600 549080750 852173324 1065216655 1098161500 1704346648 2130433310 2196323000 4260866620 5326083275 8521733240 10652166550 21304333100 26630416375 42608666200 53260832750 106521665500 213043331000