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121230103030002 = 23410112775802073
BaseRepresentation
bin11011100100001000010101…
…001110100010100011110010
3120220020111002022122111220000
4123210020111032202203302
5111342213222333430002
61105500201313530430
734351404652341111
oct3344102516424362
9526214068574800
10121230103030002
113569a44177529a
121171b258273a16
135284c46541465
1421d17d5581c78
15e0371701c61c
hex6e42153a28f2

121230103030002 has 80 divisors (see below), whose sum is σ = 274549662478872. Its totient is φ = 39978596908800.

The previous prime is 121230103029953. The next prime is 121230103030007. The reversal of 121230103030002 is 200030301032121.

121230103030002 is a `hidden beast` number, since 121 + 230 + 10 + 3 + 0 + 300 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120076865445681 + 1153237584321 = 10957959^2 + 1073889^2 .

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 (121230103030007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17993238 + ... + 23795310.

Almost surely, 2121230103030002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121230103030002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137274831239436).

121230103030002 is an abundant number, since it is smaller than the sum of its proper divisors (153319559448870).

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

121230103030002 is a wasteful number, since it uses less digits than its factorization.

121230103030002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803465 (or 5803456 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121230103030002 its reverse (200030301032121), we get a palindrome (321260404062123).

The spelling of 121230103030002 in words is "one hundred twenty-one trillion, two hundred thirty billion, one hundred three million, thirty thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1277 1818 2554 2727 3831 5454 7662 8181 11493 16362 22986 34479 68958 103437 128977 206874 257954 386931 773862 1160793 2321586 3482379 5802073 6964758 10447137 11604146 17406219 20894274 34812438 52218657 104437314 156655971 313311942 469967913 586009373 939935826 1172018746 1758028119 3516056238 5274084357 7409247221 10548168714 14818494442 15822253071 22227741663 31644506142 44455483326 47466759213 66683224989 94933518426 133366449978 200049674967 400099349934 600149024901 748333969321 1200298049802 1496667938642 2245001907963 4490003815926 6735005723889 13470011447778 20205017171667 40410034343334 60615051515001 121230103030002