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212303322120 = 23354760162633
BaseRepresentation
bin1100010110111001000…
…0111001110000001000
3202021222210011012120110
43011232100321300020
511434244122301440
6241310352554320
721224034314541
oct3055620716010
9667883135513
10212303322120
118204576620a
123518bb529a0
1317035275936
14a3c00d94c8
1557c865d080
hex316e439c08

212303322120 has 128 divisors (see below), whose sum is σ = 651553943040. Its totient is φ = 55316582400.

The previous prime is 212303322113. The next prime is 212303322131. The reversal of 212303322120 is 21223303212.

It is a happy number.

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, 3358324 + ... + 3420956.

It is an arithmetic number, because the mean of its divisors is an integer number (5090265180).

Almost surely, 2212303322120 is an apocalyptic number.

212303322120 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 212303322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325776971520).

212303322120 is an abundant number, since it is smaller than the sum of its proper divisors (439250620920).

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

212303322120 is a wasteful number, since it uses less digits than its factorization.

212303322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63295 (or 63291 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212303322120 its reverse (21223303212), we get a palindrome (233526625332).

The spelling of 212303322120 in words is "two hundred twelve billion, three hundred three million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 601 705 940 1128 1202 1410 1803 1880 2404 2820 3005 3606 4808 5640 6010 7212 9015 12020 14424 18030 24040 28247 36060 56494 62633 72120 84741 112988 125266 141235 169482 187899 225976 250532 282470 313165 338964 375798 423705 501064 564940 626330 677928 751596 847410 939495 1129880 1252660 1503192 1694820 1878990 2505320 2943751 3389640 3757980 5887502 7515960 8831253 11775004 14718755 17662506 23550008 29437510 35325012 37642433 44156265 58875020 70650024 75284866 88312530 112927299 117750040 150569732 176625060 188212165 225854598 301139464 353250120 376424330 451709196 564636495 752848660 903418392 1129272990 1505697320 1769194351 2258545980 3538388702 4517091960 5307583053 7076777404 8845971755 10615166106 14153554808 17691943510 21230332212 26537915265 35383887020 42460664424 53075830530 70767774040 106151661060 212303322120