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1200103001310 = 235411511645727
BaseRepresentation
bin10001011101101011101…
…101101000110011011110
311020201200020112010012210
4101131223231220303132
5124130302332020220
62315153020141250
7152463446125263
oct21355355506336
94221606463183
101200103001310
11422a62948544
12174708097826
1389227a3c625
144212a09b26a
152133dc846e0
hex1176bb68cde

1200103001310 has 64 divisors (see below), whose sum is σ = 2952454385664. Its totient is φ = 312014803200.

The previous prime is 1200103001299. The next prime is 1200103001323. The reversal of 1200103001310 is 131003010021.

It is a super-2 number, since 2×12001030013102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535667 + ... + 2181393.

It is an arithmetic number, because the mean of its divisors is an integer number (46132099776).

Almost surely, 21200103001310 is an apocalyptic number.

1200103001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200103001310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476227192832).

1200103001310 is an abundant number, since it is smaller than the sum of its proper divisors (1752351384354).

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

1200103001310 is a wasteful number, since it uses less digits than its factorization.

1200103001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647289.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1200103001310 its reverse (131003010021), we get a palindrome (1331106011331).

The spelling of 1200103001310 in words is "one trillion, two hundred billion, one hundred three million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1511 3022 4533 7555 9066 15110 22665 45330 61951 123902 185853 309755 371706 619510 645727 929265 1291454 1858530 1937181 3228635 3874362 6457270 9685905 19371810 26474807 52949614 79424421 132374035 158848842 264748070 397122105 794244210 975693497 1951386994 2927080491 4878467485 5854160982 9756934970 14635402455 29270804910 40003433377 80006866754 120010300131 200017166885 240020600262 400034333770 600051500655 1200103001310