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30300201308400 = 2435273345892709
BaseRepresentation
bin1101110001110110100001…
…01111000101000011110000
310222021200010010102022102220
412320323100233011003300
512432414303013332100
6144235415331041040
76245055143405532
oct670732057050360
9128250103368386
1030300201308400
119722274794331
123494470140180
1313ba3b1b9284a
1476a775131852
1537829ee9eaa0
hex1b8ed0bc50f0

30300201308400 has 120 divisors (see below), whose sum is σ = 98391256715760. Its totient is φ = 7969367992320.

The previous prime is 30300201308381. The next prime is 30300201308423. The reversal of 30300201308400 is 480310200303.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172858755 + ... + 173033954.

It is an arithmetic number, because the mean of its divisors is an integer number (819927139298).

Almost surely, 230300201308400 is an apocalyptic number.

30300201308400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30300201308400 is an abundant number, since it is smaller than the sum of its proper divisors (68091055407360).

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

30300201308400 is a wasteful number, since it uses less digits than its factorization.

30300201308400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345892803 (or 345892792 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30300201308400 its reverse (480310200303), we get a palindrome (30780511508703).

The spelling of 30300201308400 in words is "thirty trillion, three hundred billion, two hundred one million, three hundred eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 73 75 80 100 120 146 150 200 219 240 292 300 365 400 438 584 600 730 876 1095 1168 1200 1460 1752 1825 2190 2920 3504 3650 4380 5475 5840 7300 8760 10950 14600 17520 21900 29200 43800 87600 345892709 691785418 1037678127 1383570836 1729463545 2075356254 2767141672 3458927090 4150712508 5188390635 5534283344 6917854180 8301425016 8647317725 10376781270 13835708360 16602850032 17294635450 20753562540 25250167757 25941953175 27671416720 34589270900 41507125080 50500335514 51883906350 69178541800 75750503271 83014250160 101000671028 103767812700 126250838785 138357083600 151501006542 202001342056 207535625400 252501677570 303002013084 378752516355 404002684112 415071250800 505003355140 606004026168 631254193925 757505032710 1010006710280 1212008052336 1262508387850 1515010065420 1893762581775 2020013420560 2525016775700 3030020130840 3787525163550 5050033551400 6060040261680 7575050327100 10100067102800 15150100654200 30300201308400