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30302300202320 = 2451319431306589
BaseRepresentation
bin1101110001111010011011…
…10101101110010101010000
310222021212112101212011121202
412320331031311232111100
512432433102322433240
6144240403505410332
76245161150615016
oct670751565562520
9128255471764552
1030302300202320
119723151537403
1234949570399a8
1313ba657984103
1476a8d3bb08b6
15378374399315
hex1b8f4dd6e550

30302300202320 has 80 divisors (see below), whose sum is σ = 70998414917760. Its totient is φ = 12027079334400.

The previous prime is 30302300202263. The next prime is 30302300202323. The reversal of 30302300202320 is 2320200320303.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 30302300202292 and 30302300202301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30302300202323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98683586 + ... + 98990174.

It is an arithmetic number, because the mean of its divisors is an integer number (887480186472).

Almost surely, 230302300202320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30302300202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35499207458880).

30302300202320 is an abundant number, since it is smaller than the sum of its proper divisors (40696114715440).

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

30302300202320 is a wasteful number, since it uses less digits than its factorization.

30302300202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316164 (or 316158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 30302300202320 its reverse (2320200320303), we get a palindrome (32622500522623).

The spelling of 30302300202320 in words is "thirty trillion, three hundred two billion, three hundred million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 9431 10480 18862 37724 47155 75448 94310 150896 188620 306589 377240 613178 754480 1226356 1235461 1532945 2452712 2470922 3065890 4905424 4941844 6131780 6177305 9883688 12263560 12354610 19767376 24527120 24709220 40163159 49418440 80326318 98836880 160652636 200815795 321305272 401631590 642610544 803263180 1606526360 2891440859 3213052720 5782881718 11565763436 14457204295 23131526872 28914408590 46263053744 57828817180 115657634360 231315268720 378778752529 757557505058 1515115010116 1893893762645 3030230020232 3787787525290 6060460040464 7575575050580 15151150101160 30302300202320