Search a number
-
+
120022551666990 = 23357383165806777
BaseRepresentation
bin11011010010100011101101…
…100011101010000100101110
3120201222001011222201102021000
4123102203231203222010232
5111212422141211320430
61103133333221221130
734165225501166340
oct3322435543520456
9521861158642230
10120022551666990
1135274307486425
12115652118617a6
1351c8102653b1b
14218d1a01b5290
15dd20de405e60
hex6d28ed8ea12e

120022551666990 has 128 divisors (see below), whose sum is σ = 366738063851520. Its totient is φ = 27362097402624.

The previous prime is 120022551666973. The next prime is 120022551667087. The reversal of 120022551666990 is 99666155220021.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 82179519 + ... + 83627258.

It is an arithmetic number, because the mean of its divisors is an integer number (2865141123840).

Almost surely, 2120022551666990 is an apocalyptic number.

120022551666990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120022551666990 is an abundant number, since it is smaller than the sum of its proper divisors (246715512184530).

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

120022551666990 is a wasteful number, since it uses less digits than its factorization.

120022551666990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165807183 (or 165807177 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 120022551666990 in words is "one hundred twenty trillion, twenty-two billion, five hundred fifty-one million, six hundred sixty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 383 630 766 945 1149 1890 1915 2298 2681 3447 3830 5362 5745 6894 8043 10341 11490 13405 16086 17235 20682 24129 26810 34470 40215 48258 51705 72387 80430 103410 120645 144774 241290 361935 723870 165806777 331613554 497420331 829033885 994840662 1160647439 1492260993 1658067770 2321294878 2487101655 2984521986 3481942317 4476782979 4974203310 5803237195 6963884634 7461304965 8953565958 10445826951 11606474390 14922609930 17409711585 20891653902 22383914895 31337480853 34819423170 44767829790 52229134755 62674961706 63503995591 104458269510 127007991182 156687404265 190511986773 313374808530 317519977955 381023973546 444527969137 571535960319 635039955910 889055938274 952559933865 1143071920638 1333583907411 1714607880957 1905119867730 2222639845685 2667167814822 2857679801595 3429215761914 4000751722233 4445279691370 5715359603190 6667919537055 8001503444466 8573039404785 12002255166699 13335839074110 17146078809570 20003758611165 24004510333398 40007517222330 60011275833495 120022551666990