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120245312100 = 223523783130517
BaseRepresentation
bin110111111111100101…
…1011101101001100100
3102111101002202202102210
41233333023131221210
53432230244441400
6131123454203420
711454535201014
oct1577713355144
9374332682383
10120245312100
1146aa53867a1
121b379ab3570
13b453c78064
145b69b61c44
1531db7b0950
hex1bff2dda64

120245312100 has 144 divisors (see below), whose sum is σ = 361620479808. Its totient is φ = 30822658560.

The previous prime is 120245312053. The next prime is 120245312111. The reversal of 120245312100 is 1213542021.

120245312100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856042 + ... + 986558.

It is an arithmetic number, because the mean of its divisors is an integer number (2511253332).

Almost surely, 2120245312100 is an apocalyptic number.

120245312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120245312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180810239904).

120245312100 is an abundant number, since it is smaller than the sum of its proper divisors (241375167708).

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

120245312100 is a wasteful number, since it uses less digits than its factorization.

120245312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130654 (or 130647 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 120245312100 its reverse (1213542021), we get a palindrome (121458854121).

The spelling of 120245312100 in words is "one hundred twenty billion, two hundred forty-five million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 83 100 111 148 150 166 185 222 249 300 332 370 415 444 498 555 740 830 925 996 1110 1245 1660 1850 2075 2220 2490 2775 3071 3700 4150 4980 5550 6142 6225 8300 9213 11100 12284 12450 15355 18426 24900 30710 36852 46065 61420 76775 92130 130517 153550 184260 230325 261034 307100 391551 460650 522068 652585 783102 921300 1305170 1566204 1957755 2610340 3262925 3915510 4829129 6525850 7831020 9658258 9788775 10832911 13051700 14487387 19316516 19577550 21665822 24145645 28974774 32498733 39155100 43331644 48291290 54164555 57949548 64997466 72436935 96582580 108329110 120728225 129994932 144873870 162493665 216658220 241456450 270822775 289747740 324987330 362184675 400817707 482912900 541645550 649974660 724369350 801635414 812468325 1083291100 1202453121 1448738700 1603270828 1624936650 2004088535 2404906242 3249873300 4008177070 4809812484 6012265605 8016354140 10020442675 12024531210 20040885350 24049062420 30061328025 40081770700 60122656050 120245312100