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1142103323420 = 2254167138115053
BaseRepresentation
bin10000100111101010101…
…010011011001100011100
311001011222010220012112122
4100213222222123030130
5122203011422322140
62232401445522112
7145341246033413
oct20475252331434
94034863805478
101142103323420
114003aa608054
12165420113338
13839138402b7
143d3c714847a
151ea96e59ab5
hex109eaa9b31c

1142103323420 has 96 divisors (see below), whose sum is σ = 2495556737856. Its totient is φ = 438699571200.

The previous prime is 1142103323419. The next prime is 1142103323423. The reversal of 1142103323420 is 243233012411.

It is a self number, because there is not a number n which added to its sum of digits gives 1142103323420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142103323423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75864614 + ... + 75879666.

It is an arithmetic number, because the mean of its divisors is an integer number (25995382686).

Almost surely, 21142103323420 is an apocalyptic number.

1142103323420 is a gapful number since it is divisible by the number (10) 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 1142103323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247778368928).

1142103323420 is an abundant number, since it is smaller than the sum of its proper divisors (1353453414436).

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

1142103323420 is a wasteful number, since it uses less digits than its factorization.

1142103323420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16551 (or 16549 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1142103323420 its reverse (243233012411), we get a palindrome (1385336335831).

The spelling of 1142103323420 in words is "one trillion, one hundred forty-two billion, one hundred three million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 67 82 134 164 205 268 335 410 670 820 1340 1381 2747 2762 5494 5524 6905 10988 13735 13810 15053 27470 27620 30106 54940 56621 60212 75265 92527 113242 150530 185054 226484 283105 301060 370108 462635 566210 617173 925270 1008551 1132420 1234346 1850540 2017102 2468692 3085865 3793607 4034204 5042755 6171730 7587214 10085510 12343460 15174428 18968035 20171020 20788193 37936070 41350591 41576386 75872140 82701182 83152772 103940965 165402364 206752955 207881930 413505910 415763860 827011820 852315913 1392808931 1704631826 2785617862 3409263652 4261579565 5571235724 6964044655 8523159130 13928089310 17046318260 27856178620 57105166171 114210332342 228420664684 285525830855 571051661710 1142103323420