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1001230220320 = 25511251716437
BaseRepresentation
bin11101001000111011111…
…10001011110000100000
310112201100110022002111121
432210131332023300200
5112401004414022240
62043543034222024
7132223263311131
oct16443576136040
93481313262447
101001230220320
1135668a3a2700
12142065b84914
1373553111365
14366619a1c88
151b09e77104a
hexe91df8bc20

1001230220320 has 72 divisors (see below), whose sum is σ = 2599992204012. Its totient is φ = 364083709440.

The previous prime is 1001230220317. The next prime is 1001230220329. The reversal of 1001230220320 is 230220321001.

1001230220320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 923190445584 + 78039774736 = 960828^2 + 279356^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1001230220294 and 1001230220303.

It is not an unprimeable number, because it can be changed into a prime (1001230220329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25838859 + ... + 25877578.

Almost surely, 21001230220320 is an apocalyptic number.

1001230220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001230220320 is an abundant number, since it is smaller than the sum of its proper divisors (1598761983692).

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

1001230220320 is a wasteful number, since it uses less digits than its factorization.

1001230220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51716474 (or 51716455 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1001230220320 its reverse (230220321001), we get a palindrome (1231450541321).

The spelling of 1001230220320 in words is "one trillion, one billion, two hundred thirty million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 51716437 103432874 206865748 258582185 413731496 517164370 568880807 827462992 1034328740 1137761614 1654925984 2068657480 2275523228 2844404035 4137314960 4551046456 5688808070 6257688877 8274629920 9102092912 11377616140 12515377754 18204185824 22755232280 25030755508 31288444385 45510464560 50061511016 62576888770 91020929120 100123022032 125153777540 200246044064 250307555080 500615110160 1001230220320