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1201310301012 = 2231961434919861
BaseRepresentation
bin10001011110110011101…
…011000111101101010100
311020211210101021022001120
4101132303223013231110
5124140240414113022
62315512504523540
7152535406035423
oct21366353075524
94224711238046
101201310301012
1142352238a698
121749a44805b0
138938abbb553
144220256b2ba
15213aec62d5c
hex117b3ac7b54

1201310301012 has 96 divisors (see below), whose sum is σ = 2999797584000. Its totient is φ = 373037529600.

The previous prime is 1201310300977. The next prime is 1201310301041. The reversal of 1201310301012 is 2101030131021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1201310300982 and 1201310301000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60475962 + ... + 60495822.

It is an arithmetic number, because the mean of its divisors is an integer number (31247891500).

Almost surely, 21201310301012 is an apocalyptic number.

1201310301012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201310301012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499898792000).

1201310301012 is an abundant number, since it is smaller than the sum of its proper divisors (1798487282988).

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

1201310301012 is a wasteful number, since it uses less digits than its factorization.

1201310301012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24297 (or 24295 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1201310301012 its reverse (2101030131021), we get a palindrome (3302340432033).

The spelling of 1201310301012 in words is "one trillion, two hundred one billion, three hundred ten million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 366 732 1159 2318 3477 4349 4636 6954 8698 13047 13908 17396 19861 26094 39722 52188 59583 79444 82631 119166 165262 238332 247893 265289 330524 377359 495786 530578 754718 795867 991572 1061156 1132077 1211521 1509436 1591734 2264154 2423042 3183468 3634563 4528308 4846084 5040491 7269126 10080982 14538252 15121473 20161964 23018899 30242946 46037798 60485892 69056697 86375489 92075596 138113394 172750978 259126467 276226788 345501956 518252934 1036505868 1641134291 3282268582 4923402873 5268904829 6564537164 9846805746 10537809658 15806714487 19693611492 21075619316 31613428974 63226857948 100109191751 200218383502 300327575253 400436767004 600655150506 1201310301012