Search a number
-
+
120021100100 = 225211239914787
BaseRepresentation
bin110111111000111010…
…0001010011001000100
3102110210110212121101122
41233301310022121010
53431300400200400
6131045324413112
711446143342506
oct1576164123104
9373713777348
10120021100100
114699a866a20
121b3169a7198
13b419694435
145b48079d76
1531c6c72685
hex1bf1d0a644

120021100100 has 144 divisors (see below), whose sum is σ = 296837001216. Its totient is φ = 41695632000.

The previous prime is 120021100079. The next prime is 120021100153. The reversal of 120021100100 is 1001120021.

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, 25069907 + ... + 25074693.

It is an arithmetic number, because the mean of its divisors is an integer number (2061368064).

Almost surely, 2120021100100 is an apocalyptic number.

120021100100 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 120021100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148418500608).

120021100100 is an abundant number, since it is smaller than the sum of its proper divisors (176815901116).

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

120021100100 is a wasteful number, since it uses less digits than its factorization.

120021100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120021100100 its reverse (1001120021), we get a palindrome (121022220121).

The spelling of 120021100100 in words is "one hundred twenty billion, twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 991 1012 1100 1150 1265 1982 2300 2530 3964 4787 4955 5060 6325 9574 9910 10901 12650 19148 19820 21802 22793 23935 24775 25300 43604 45586 47870 49550 52657 54505 91172 95740 99100 105314 109010 110101 113965 119675 210628 218020 220202 227930 239350 250723 263285 272525 440404 455860 478700 501446 526570 545050 550505 569825 1002892 1053140 1090100 1101010 1139650 1211111 1253615 1316425 2202020 2279300 2422222 2507230 2632850 2752525 4743917 4844444 5014460 5265700 5505050 6055555 6268075 9487834 11010100 12111110 12536150 18975668 23719585 24222220 25072300 30277775 47439170 52183087 60555550 94878340 104366174 109110091 118597925 121111100 208732348 218220182 237195850 260915435 436440364 474391700 521830870 545550455 1043661740 1091100910 1200211001 1304577175 2182201820 2400422002 2609154350 2727752275 4800844004 5218308700 5455504550 6001055005 10911009100 12002110010 24004220020 30005275025 60010550050 120021100100