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1131022142304 = 253769122312527
BaseRepresentation
bin10000011101010110001…
…011000100101101100000
311000010100212200212202020
4100131112023010231200
5122012313132023204
62223330121421440
7144466532405055
oct20352613045540
94003325625666
101131022142304
113a673357172a
1216324903a880
1382868b60ab2
143ca5558502c
151e6491d1bd9
hex107562c4b60

1131022142304 has 96 divisors (see below), whose sum is σ = 2975462138880. Its totient is φ = 376179228672.

The previous prime is 1131022142189. The next prime is 1131022142309. The reversal of 1131022142304 is 4032412201311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11310221423042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131022142309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90280489 + ... + 90293015.

It is an arithmetic number, because the mean of its divisors is an integer number (30994397280).

Almost surely, 21131022142304 is an apocalyptic number.

It is an amenable number.

1131022142304 is an abundant number, since it is smaller than the sum of its proper divisors (1844439996576).

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

1131022142304 is a wasteful number, since it uses less digits than its factorization.

1131022142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14532 (or 14524 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1131022142304 its reverse (4032412201311), we get a palindrome (5163434343615).

The spelling of 1131022142304 in words is "one trillion, one hundred thirty-one billion, twenty-two million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 769 1223 1538 2307 2446 3076 3669 4614 4892 6152 7338 9228 9784 12304 12527 14676 18456 19568 24608 25054 29352 36912 37581 39136 50108 58704 73824 75162 100216 117408 150324 200432 300648 400864 601296 940487 1202592 1880974 2821461 3761948 5642922 7523896 9633263 11285844 15047792 15320521 19266526 22571688 28899789 30095584 30641042 38533052 45143376 45961563 57799578 61282084 77066104 90286752 91923126 115599156 122564168 154132208 183846252 231198312 245128336 308264416 367692504 462396624 490256672 735385008 924793248 1470770016 11781480649 23562961298 35344441947 47125922596 70688883894 94251845192 141377767788 188503690384 282755535576 377007380768 565511071152 1131022142304