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121130130330 = 232511887137941
BaseRepresentation
bin111000011001111101…
…0110001101110011010
3102120122202201011212100
41300303322301232122
53441033303132310
6131351343024230
711515501056006
oct1606372615632
9376582634770
10121130130330
1147409889830
121b58629b076
13b565387441
145c11489706
15323e2ddec0
hex1c33eb1b9a

121130130330 has 96 divisors (see below), whose sum is σ = 343958928768. Its totient is φ = 29331561600.

The previous prime is 121130130299. The next prime is 121130130337. The reversal of 121130130330 is 33031031121.

It is a happy number.

121130130330 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 301 + 30 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121130130337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809160 + ... + 947100.

It is an arithmetic number, because the mean of its divisors is an integer number (3582905508).

Almost surely, 2121130130330 is an apocalyptic number.

121130130330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121130130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171979464384).

121130130330 is an abundant number, since it is smaller than the sum of its proper divisors (222828798438).

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

121130130330 is a wasteful number, since it uses less digits than its factorization.

121130130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138852 (or 138849 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 121130130330 its reverse (33031031121), we get a palindrome (154161161451).

The spelling of 121130130330 in words is "one hundred twenty-one billion, one hundred thirty million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 887 990 1774 2661 4435 5322 7983 8870 9757 13305 15966 19514 26610 29271 39915 48785 58542 79830 87813 97570 137941 146355 175626 275882 292710 413823 439065 689705 827646 878130 1241469 1379410 1517351 2069115 2482938 3034702 4138230 4552053 6207345 7586755 9104106 12414690 13656159 15173510 22760265 27312318 45520530 68280795 122353667 136561590 244707334 367061001 611768335 734122002 1101183003 1223536670 1345890337 1835305005 2202366006 2691780674 3670610010 4037671011 5505915015 6729451685 8075342022 11011830030 12113013033 13458903370 20188355055 24226026066 40376710110 60565065165 121130130330