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212303121000 = 23353318122247
BaseRepresentation
bin1100010110111001000…
…0001000101001101000
3202021222202202222200120
43011232100020221220
511434244044333000
6241310344403240
721224032516305
oct3055620105150
9667882688616
10212303121000
11820456390a3
123518ba76520
1317035205229
14a3c00860ac
1557c861d6a0
hex316e408a68

212303121000 has 128 divisors (see below), whose sum is σ = 662623752960. Its totient is φ = 56593824000.

The previous prime is 212303120983. The next prime is 212303121029. The reversal of 212303121000 is 121303212.

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, 9531877 + ... + 9554123.

It is an arithmetic number, because the mean of its divisors is an integer number (5176748070).

Almost surely, 2212303121000 is an apocalyptic number.

212303121000 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 212303121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331311876480).

212303121000 is an abundant number, since it is smaller than the sum of its proper divisors (450320631960).

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

212303121000 is a wasteful number, since it uses less digits than its factorization.

212303121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25452 (or 25438 counting only the distinct ones).

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

Adding to 212303121000 its reverse (121303212), we get a palindrome (212424424212).

The spelling of 212303121000 in words is "two hundred twelve billion, three hundred three million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3181 6362 9543 12724 15905 19086 22247 25448 31810 38172 44494 47715 63620 66741 76344 79525 88988 95430 111235 127240 133482 159050 177976 190860 222470 238575 266964 318100 333705 381720 397625 444940 477150 533928 556175 636200 667410 795250 889880 954300 1112350 1192875 1334820 1590500 1668525 1908600 2224700 2385750 2669640 2780875 3181000 3337050 4449400 4771500 5561750 6674100 8342625 9543000 11123500 13348200 16685250 22247000 33370500 66741000 70767707 141535414 212303121 283070828 353838535 424606242 566141656 707677070 849212484 1061515605 1415354140 1698424968 1769192675 2123031210 2830708280 3538385350 4246062420 5307578025 7076770700 8492124840 8845963375 10615156050 14153541400 17691926750 21230312100 26537890125 35383853500 42460624200 53075780250 70767707000 106151560500 212303121000