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31142102420 = 225111343253229
BaseRepresentation
bin11101000000001101…
…101100010110010100
32222101100100201100202
4131000031230112110
51002234334234140
622150111200032
72151505334342
oct350015542624
988340321322
1031142102420
11122309a5530
126051516018
132c23b97550
141715dc6992
15c24029915
hex74036c594

31142102420 has 96 divisors (see below), whose sum is σ = 78618798720. Its totient is φ = 10210152960.

The previous prime is 31142102417. The next prime is 31142102441. The reversal of 31142102420 is 2420124113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31142102392 and 31142102401.

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, 3635 + ... + 249594.

It is an arithmetic number, because the mean of its divisors is an integer number (818945820).

Almost surely, 231142102420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39309399360).

31142102420 is an abundant number, since it is smaller than the sum of its proper divisors (47476696300).

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

31142102420 is a wasteful number, since it uses less digits than its factorization.

31142102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253305 (or 253303 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31142102420 its reverse (2420124113), we get a palindrome (33562226533).

The spelling of 31142102420 in words is "thirty-one billion, one hundred forty-two million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 43 44 52 55 65 86 110 130 143 172 215 220 260 286 430 473 559 572 715 860 946 1118 1430 1892 2236 2365 2795 2860 4730 5590 6149 9460 11180 12298 24596 30745 61490 122980 253229 506458 1012916 1266145 2532290 2785519 3291977 5064580 5571038 6583954 10888847 11142076 13167908 13927595 16459885 21777694 27855190 32919770 36211747 43555388 54444235 55710380 65839540 72423494 108888470 119777317 141555011 144846988 181058735 217776940 239554634 283110022 362117470 479109268 566220044 598886585 707775055 724234940 1197773170 1415550110 1557105121 2395546340 2831100220 3114210242 6228420484 7785525605 15571051210 31142102420