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20122130201310 = 23758171112603
BaseRepresentation
bin1001001001101000011000…
…11011000011101011011110
32122020122201211222120000000
410210310030123003223132
510114140110312420220
6110443551244115130
74144530100425504
oct444641433035336
978218654876000
1020122130201310
116458824a08a05
12230b978835aa6
13b2c67c901747
144d7cb8472674
1524d651d6c390
hex124d0c6c3ade

20122130201310 has 128 divisors (see below), whose sum is σ = 54328601387520. Its totient is φ = 5365197038880.

The previous prime is 20122130201293. The next prime is 20122130201321. The reversal of 20122130201310 is 1310203122102.

20122130201310 is a `hidden beast` number, since 2 + 0 + 1 + 22 + 130 + 201 + 310 = 666.

It is a super-2 number, since 2×201221302013102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178643469 + ... + 178756071.

It is an arithmetic number, because the mean of its divisors is an integer number (424442198340).

Almost surely, 220122130201310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122130201310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27164300693760).

20122130201310 is an abundant number, since it is smaller than the sum of its proper divisors (34206471186210).

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

20122130201310 is an equidigital number, since it uses as much as digits as its factorization.

20122130201310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120802 (or 120784 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20122130201310 its reverse (1310203122102), we get a palindrome (21432333323412).

The spelling of 20122130201310 in words is "twenty trillion, one hundred twenty-two billion, one hundred thirty million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2187 2430 3645 4374 7290 8171 10935 16342 21870 24513 40855 49026 73539 81710 112603 122565 147078 220617 225206 245130 337809 367695 441234 563015 661851 675618 735390 1013427 1103085 1126030 1323702 1689045 1985553 2026854 2206170 3040281 3309255 3378090 3971106 5067135 5956659 6080562 6618510 9120843 9927765 10134270 11913318 15201405 17869977 18241686 19855530 27362529 29783295 30402810 35739954 45604215 54725058 59566590 82087587 89349885 91208430 136812645 164175174 178699770 246262761 273625290 410437935 492525522 820875870 920079113 1231313805 1840158226 2462627610 2760237339 4600395565 5520474678 8280712017 9200791130 13801186695 16561424034 24842136051 27602373390 41403560085 49684272102 74526408153 82807120170 124210680255 149052816306 223579224459 248421360510 372632040765 447158448918 670737673377 745264081530 1117896122295 1341475346754 2012213020131 2235792244590 3353688366885 4024426040262 6707376733770 10061065100655 20122130201310