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30213426300 = 22352897431523
BaseRepresentation
bin11100001000110111…
…000100110001111100
32212222121220002012220
4130020313010301330
5443334114120200
621514014325340
72116500612651
oct341067046174
985877802186
1030213426300
11118a4767402
125a324b9850
132b06670655
141668923c28
15bbc7364a0
hex708dc4c7c

30213426300 has 144 divisors (see below), whose sum is σ = 88576830720. Its totient is φ = 7950440960.

The previous prime is 30213426283. The next prime is 30213426319. The reversal of 30213426300 is 362431203.

It is a super-2 number, since 2×302134263002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19837339 + ... + 19838861.

It is an arithmetic number, because the mean of its divisors is an integer number (615116880).

Almost surely, 230213426300 is an apocalyptic number.

30213426300 is a gapful number since it is divisible by the number (30) 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 30213426300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44288415360).

30213426300 is an abundant number, since it is smaller than the sum of its proper divisors (58363404420).

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

30213426300 is a wasteful number, since it uses less digits than its factorization.

30213426300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 30213426300 its reverse (362431203), we get a palindrome (30575857503).

The spelling of 30213426300 in words is "thirty billion, two hundred thirteen million, four hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 743 890 1068 1335 1486 1523 1780 2225 2229 2670 2972 3046 3715 4450 4458 4569 5340 6092 6675 7430 7615 8900 8916 9138 11145 13350 14860 15230 18276 18575 22290 22845 26700 30460 37150 38075 44580 45690 55725 66127 74300 76150 91380 111450 114225 132254 135547 152300 198381 222900 228450 264508 271094 330635 396762 406641 456900 542188 661270 677735 793524 813282 991905 1131589 1322540 1355470 1626564 1653175 1983810 2033205 2263178 2710940 3306350 3388675 3394767 3967620 4066410 4526356 4959525 5657945 6612700 6777350 6789534 8132820 9919050 10166025 11315890 13554700 13579068 16973835 19838100 20332050 22631780 28289725 33947670 40664100 56579450 67895340 84869175 100711421 113158900 169738350 201422842 302134263 339476700 402845684 503557105 604268526 1007114210 1208537052 1510671315 2014228420 2517785525 3021342630 5035571050 6042685260 7553356575 10071142100 15106713150 30213426300