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121301001301320 = 23325373903343769
BaseRepresentation
bin11011100101001010010111…
…000101111110110101001000
3120220111021002100020212100200
4123211022113011332311020
5111344343422313120240
61105552524413532200
734356464614606431
oct3345122705766510
9526437070225320
10121301001301320
1135717513a18955
1211730b43aa4060
13528b834ac86a9
1421d4ddd5c4488
15e054b6417930
hex6e529717ed48

121301001301320 has 96 divisors (see below), whose sum is σ = 395285166876600. Its totient is φ = 32260212642816.

The previous prime is 121301001301303. The next prime is 121301001301327. The reversal of 121301001301320 is 23103100103121.

121301001301320 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 10 + 0 + 1 + 301 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106229260470564 + 15071740830756 = 10306758^2 + 3882234^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121301001301293 and 121301001301302.

It is not an unprimeable number, because it can be changed into a prime (121301001301327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451537605 + ... + 451806164.

Almost surely, 2121301001301320 is an apocalyptic number.

121301001301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121301001301320 is an abundant number, since it is smaller than the sum of its proper divisors (273984165575280).

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

121301001301320 is a wasteful number, since it uses less digits than its factorization.

121301001301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903344159 (or 903344152 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121301001301320 its reverse (23103100103121), we get a palindrome (144404101404441).

The spelling of 121301001301320 in words is "one hundred twenty-one trillion, three hundred one billion, one million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 373 746 1119 1492 1865 2238 2984 3357 3730 4476 5595 6714 7460 8952 11190 13428 14920 16785 22380 26856 33570 44760 67140 134280 903343769 1806687538 2710031307 3613375076 4516718845 5420062614 7226750152 8130093921 9033437690 10840125228 13550156535 16260187842 18066875380 21680250456 27100313070 32520375684 36133750760 40650469605 54200626140 65040751368 81300939210 108401252280 162601878420 325203756840 336947225837 673894451674 1010841677511 1347788903348 1684736129185 2021683355022 2695577806696 3032525032533 3369472258370 4043366710044 5054208387555 6065050065066 6738944516740 8086733420088 10108416775110 12130100130132 13477889033480 15162625162665 20216833550220 24260200260264 30325250325330 40433667100440 60650500650660 121301001301320