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1201001042320 = 245149100755121
BaseRepresentation
bin10001011110100001001…
…111011001000110010000
311020210222211100022212221
4101132201033121012100
5124134122231323240
62315422100230424
7152524632264532
oct21364117310620
94223884308787
101201001042320
11423383861aa2
1217491899b414
138933bacb441
14421b3467852
1521392a25a4a
hex117a13d9190

1201001042320 has 40 divisors (see below), whose sum is σ = 2811067903800. Its totient is φ = 477176248320.

The previous prime is 1201001042299. The next prime is 1201001042321. The reversal of 1201001042320 is 232401001021.

It can be written as a sum of positive squares in 4 ways, for example, as 68189921424 + 1132811120896 = 261132^2 + 1064336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 1201001042294 and 1201001042303.

It is not an unprimeable number, because it can be changed into a prime (1201001042321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50365641 + ... + 50389480.

It is an arithmetic number, because the mean of its divisors is an integer number (70276697595).

Almost surely, 21201001042320 is an apocalyptic number.

1201001042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201001042320 is an abundant number, since it is smaller than the sum of its proper divisors (1610066861480).

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

1201001042320 is a wasteful number, since it uses less digits than its factorization.

1201001042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100755283 (or 100755277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1201001042320 its reverse (232401001021), we get a palindrome (1433402043341).

The spelling of 1201001042320 in words is "one trillion, two hundred one billion, one million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 100755121 201510242 403020484 503775605 806040968 1007551210 1612081936 2015102420 4030204840 8060409680 15012513029 30025026058 60050052116 75062565145 120100104232 150125130290 240200208464 300250260580 600500521160 1201001042320