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101330222131204 = 2211213717326333587
BaseRepresentation
bin10111000010100011000111…
…111001010010100000000100
3111021210002000101221022121121
4113002203013321102200010
5101240143243331144304
6555302243355323324
730225603236533423
oct2702430771224004
9437702011838547
10101330222131204
112a3179a67a0900
12b446586450544
13447052563ac51
141b045a21092ba
15baac71a9a554
hex5c28c7e52804

101330222131204 has 144 divisors (see below), whose sum is σ = 198228496523904. Its totient is φ = 45284503559680.

The previous prime is 101330222131139. The next prime is 101330222131301. The reversal of 101330222131204 is 402131222033101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3016930899 + ... + 3016964485.

It is an arithmetic number, because the mean of its divisors is an integer number (1376586781416).

Almost surely, 2101330222131204 is an apocalyptic number.

It is an amenable number.

101330222131204 is a deficient number, since it is larger than the sum of its proper divisors (96898274392700).

101330222131204 is a wasteful number, since it uses less digits than its factorization.

101330222131204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34186 (or 34173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101330222131204 its reverse (402131222033101), we get a palindrome (503461444164305).

The spelling of 101330222131204 in words is "one hundred one trillion, three hundred thirty billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred four".

Divisors: 1 2 4 11 22 44 121 137 173 242 263 274 346 484 526 548 692 1052 1507 1903 2893 3014 3806 5786 6028 7612 11572 16577 20933 23701 31823 33154 33587 36031 41866 45499 47402 63646 66308 67174 72062 83732 90998 94804 127292 134348 144124 181996 260711 369457 396341 500489 521422 738914 792682 1000978 1042844 1477828 1585364 2001956 2867821 4064027 4359751 4601419 5505379 5735642 5810551 6233363 8128054 8719502 8833381 9202838 11010758 11471284 11621102 12466726 16256108 17439004 17666762 18405676 22021516 23242204 24933452 35333524 50615609 63916061 68566993 97167191 101231218 127832122 137133986 194334382 202462436 255664244 274267972 388668764 556771699 703076671 754236923 796045487 1068839101 1113543398 1210173197 1406153342 1508473846 1528174913 1592090974 2137678202 2227086796 2420346394 2812306684 3016947692 3056349826 3184181948 4275356404 4840692788 6112699652 8756500357 13311905167 16809924043 17513000714 26623810334 33619848086 35026001428 53247620668 67239696172 96321503927 146430956837 184909164473 192643007854 209359963081 292861913674 369818328946 385286015708 418719926162 585723827348 739636657892 837439852324 2302959593891 4605919187782 9211838375564 25332555532801 50665111065602 101330222131204