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1011020311301 = 711138831114371
BaseRepresentation
bin11101011011001011000…
…00011010101100000101
310120122121202002020120212
432231211200122230011
5113031032144430201
62052242322005205
7133021011565340
oct16554540325405
93518552066525
101011020311301
1135a853676990
12143b387a6805
13744534851c0
1436d0dcc3457
151b473eb8abb
hexeb6581ab05

1011020311301 has 32 divisors (see below), whose sum is σ = 1357619429376. Its totient is φ = 727118712000.

The previous prime is 1011020311277. The next prime is 1011020311307. The reversal of 1011020311301 is 1031130201101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011020311301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011020311307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8782646 + ... + 8897016.

It is an arithmetic number, because the mean of its divisors is an integer number (42425607168).

Almost surely, 21011020311301 is an apocalyptic number.

1011020311301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011020311301 is a deficient number, since it is larger than the sum of its proper divisors (346599118075).

1011020311301 is a wasteful number, since it uses less digits than its factorization.

1011020311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123233.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1011020311301 its reverse (1031130201101), we get a palindrome (2042150512402).

The spelling of 1011020311301 in words is "one trillion, eleven billion, twenty million, three hundred eleven thousand, three hundred one".

Divisors: 1 7 11 13 77 91 143 1001 8831 61817 97141 114371 114803 679987 800597 803621 1258081 1262833 1486823 8806567 8839831 10407761 16355053 114485371 1010010301 7070072107 11110113311 13130133913 77770793177 91910937391 144431473043 1011020311301