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201310012020 = 223513810131859
BaseRepresentation
bin1011101101111100000…
…0110000001001110100
3201020121122022012011010
42323133000300021310
511244240330341040
6232251444112220
720354435604015
oct2733700601164
9636548265133
10201310012020
1178414287667
1233022395670
1315ca2851310
149a5a08b00c
155383490e80
hex2edf030274

201310012020 has 96 divisors (see below), whose sum is σ = 607121101440. Its totient is φ = 49545561600.

The previous prime is 201310011997. The next prime is 201310012031. The reversal of 201310012020 is 20210013102.

201310012020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201310011987 and 201310012005.

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, 6302851 + ... + 6334709.

It is an arithmetic number, because the mean of its divisors is an integer number (6324178140).

Almost surely, 2201310012020 is an apocalyptic number.

201310012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201310012020 is an abundant number, since it is smaller than the sum of its proper divisors (405811089420).

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

201310012020 is a wasteful number, since it uses less digits than its factorization.

201310012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39985 (or 39983 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201310012020 its reverse (20210013102), we get a palindrome (221520025122).

The spelling of 201310012020 in words is "two hundred one billion, three hundred ten million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 8101 16202 24303 31859 32404 40505 48606 63718 81010 95577 97212 105313 121515 127436 159295 162020 191154 210626 243030 315939 318590 382308 414167 421252 477885 486060 526565 631878 637180 828334 955770 1053130 1242501 1263756 1579695 1656668 1911540 2070835 2106260 2485002 3159390 4141670 4970004 6212505 6318780 8283340 12425010 24850020 258089759 516179518 774269277 1032359036 1290448795 1548538554 2580897590 3097077108 3355166867 3871346385 5161795180 6710333734 7742692770 10065500601 13420667468 15485385540 16775834335 20131001202 33551668670 40262002404 50327503005 67103337340 100655006010 201310012020