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31311310220130 = 23547731459208499
BaseRepresentation
bin1110001111010001110111…
…00001011110101101100010
311002212022222001012220222010
413013220323201132231202
513101001030404021010
6150332114540053350
76411111312350403
oct707507341365542
9132768861186863
1031311310220130
119a82063376006
123618412534256
13146184a7c9925
147a3692ab99aa
1539472bb1a620
hex1c7a3b85eb62

31311310220130 has 128 divisors (see below), whose sum is σ = 77851031040000. Its totient is φ = 8054521265664.

The previous prime is 31311310220129. The next prime is 31311310220159. The reversal of 31311310220130 is 3102201311313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31311310220097 and 31311310220106.

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, 150070621 + ... + 150279119.

It is an arithmetic number, because the mean of its divisors is an integer number (608211180000).

Almost surely, 231311310220130 is an apocalyptic number.

31311310220130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311310220130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38925515520000).

31311310220130 is an abundant number, since it is smaller than the sum of its proper divisors (46539720819870).

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

31311310220130 is a wasteful number, since it uses less digits than its factorization.

31311310220130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210088.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31311310220130 its reverse (3102201311313), we get a palindrome (34413511531443).

The spelling of 31311310220130 in words is "thirty-one trillion, three hundred eleven billion, three hundred ten million, two hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 73 94 141 146 219 235 282 365 438 470 705 730 1095 1410 1459 2190 2918 3431 4377 6862 7295 8754 10293 14590 17155 20586 21885 34310 43770 51465 68573 102930 106507 137146 205719 208499 213014 319521 342865 411438 416998 532535 625497 639042 685730 1028595 1042495 1065070 1250994 1597605 2057190 2084990 3127485 3195210 5005829 6254970 9799453 10011658 15017487 15220427 19598906 25029145 29398359 30034974 30440854 45661281 48997265 50058290 58796718 75087435 76102135 91322562 97994530 146991795 150174870 152204270 228306405 293983590 304200041 456612810 608400082 715360069 912600123 1430720138 1521000205 1825200246 2146080207 3042000410 3576800345 4292160414 4563000615 7153600690 9126001230 10730401035 14297401927 21460802070 22206602993 28594803854 42892205781 44413205986 66619808979 71487009635 85784411562 111033014965 133239617958 142974019270 214461028905 222066029930 333099044895 428922057810 666198089790 1043710340671 2087420681342 3131131022013 5218551703355 6262262044026 10437103406710 15655655110065 31311310220130