Search a number
-
+
121079490168 = 233713197328099
BaseRepresentation
bin111000011000011100…
…1100110011001111000
3102120112020102101121210
41300300321212121320
53440432322141133
6131342333403120
711514314454030
oct1606071463170
9376466371553
10121079490168
114739324105a
121b5713394a0
13b557a36850
145c088668c0
153239b39763
hex1c30e66678

121079490168 has 128 divisors (see below), whose sum is σ = 372754368000. Its totient is φ = 31915731456.

The previous prime is 121079490139. The next prime is 121079490187. The reversal of 121079490168 is 861094970121.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4294983 + ... + 4323081.

It is an arithmetic number, because the mean of its divisors is an integer number (2912143500).

Almost surely, 2121079490168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121079490168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186377184000).

121079490168 is an abundant number, since it is smaller than the sum of its proper divisors (251674877832).

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

121079490168 is a wasteful number, since it uses less digits than its factorization.

121079490168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30101 (or 30097 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 121079490168 in words is "one hundred twenty-one billion, seventy-nine million, four hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1973 2184 3946 5919 7892 11838 13811 15784 23676 25649 27622 28099 41433 47352 51298 55244 56198 76947 82866 84297 102596 110488 112396 153894 165732 168594 179543 196693 205192 224792 307788 331464 337188 359086 365287 393386 538629 590079 615576 674376 718172 730574 786772 1077258 1095861 1180158 1436344 1461148 1573544 2154516 2191722 2360316 2557009 2922296 4309032 4383444 4720632 5114018 7671027 8766888 10228036 15342054 20456072 30684108 55439327 61368216 110878654 166317981 221757308 332635962 388075289 443514616 665271924 720711251 776150578 1164225867 1330543848 1441422502 1552301156 2162133753 2328451734 2882845004 3104602312 4324267506 4656903468 5044978757 5765690008 8648535012 9313806936 10089957514 15134936271 17297070024 20179915028 30269872542 40359830056 60539745084 121079490168