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212213301000 = 23353277255371
BaseRepresentation
bin1100010110100011100…
…1011111111100001000
3202021202111202122210220
43011220321133330020
511434103101113000
6241253415310040
721221562203361
oct3055071377410
9667674678726
10212213301000
1181aa996aa98
123516597b320
131701c7171bc
14a3b2184b68
1557c07ca1a0
hex3168e5ff08

212213301000 has 128 divisors (see below), whose sum is σ = 664498373760. Its totient is φ = 56385696000.

The previous prime is 212213300993. The next prime is 212213301019. The reversal of 212213301000 is 103312212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 703315 + ... + 958685.

It is an arithmetic number, because the mean of its divisors is an integer number (5191393545).

Almost surely, 2212213301000 is an apocalyptic number.

212213301000 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 212213301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332249186880).

212213301000 is an abundant number, since it is smaller than the sum of its proper divisors (452285072760).

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

212213301000 is a wasteful number, since it uses less digits than its factorization.

212213301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255672 (or 255658 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212213301000 its reverse (103312212), we get a palindrome (212316613212).

The spelling of 212213301000 in words is "two hundred twelve billion, two hundred thirteen million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 277 300 375 500 554 600 750 831 1000 1108 1385 1500 1662 2216 2770 3000 3324 4155 5540 6648 6925 8310 11080 13850 16620 20775 27700 33240 34625 41550 55400 69250 83100 103875 138500 166200 207750 255371 277000 415500 510742 766113 831000 1021484 1276855 1532226 2042968 2553710 3064452 3830565 5107420 6128904 6384275 7661130 10214840 12768550 15322260 19152825 25537100 30644520 31921375 38305650 51074200 63842750 70737767 76611300 95764125 127685500 141475534 153222600 191528250 212213301 255371000 282951068 353688835 383056500 424426602 565902136 707377670 766113000 848853204 1061066505 1414755340 1697706408 1768444175 2122133010 2829510680 3536888350 4244266020 5305332525 7073776700 8488532040 8842220875 10610665050 14147553400 17684441750 21221330100 26526662625 35368883500 42442660200 53053325250 70737767000 106106650500 212213301000