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121131311223330 = 232510744928014559
BaseRepresentation
bin11011100010101100010100…
…110001101101001000100010
3120212220001002100102202022100
4123202230110301231020202
5111334103411133121310
61105342542310351230
734341306546004122
oct3342542461551042
9525801070382270
10121131311223330
1135661556331781
121170408705b516
135278831134615
1421cab02b84c82
15e00d83ddaec0
hex6e2b14c6d222

121131311223330 has 96 divisors (see below), whose sum is σ = 318592782144000. Its totient is φ = 31928527927296.

The previous prime is 121131311223317. The next prime is 121131311223337. The reversal of 121131311223330 is 33322113131121.

121131311223330 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 313 + 1 + 12 + 2 + 3 + 330 = 666.

It is a super-2 number, since 2×1211313112233302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121131311223294 and 121131311223303.

It is not an unprimeable number, because it can be changed into a prime (121131311223337) 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, 9683410 + ... + 18331149.

It is an arithmetic number, because the mean of its divisors is an integer number (3318674814000).

Almost surely, 2121131311223330 is an apocalyptic number.

121131311223330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121131311223330 is an abundant number, since it is smaller than the sum of its proper divisors (197461470920670).

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

121131311223330 is a wasteful number, since it uses less digits than its factorization.

121131311223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28015128 (or 28015125 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 121131311223330 its reverse (33322113131121), we get a palindrome (154453424354451).

The spelling of 121131311223330 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, three hundred eleven million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 449 535 642 898 963 1070 1347 1605 1926 2245 2694 3210 4041 4490 4815 6735 8082 9630 13470 20205 40410 48043 96086 144129 240215 288258 432387 480430 720645 864774 1441290 2161935 4323870 28014559 56029118 84043677 140072795 168087354 252131031 280145590 420218385 504262062 840436770 1260655155 2521310310 2997557813 5995115626 8992673439 12578536991 14987789065 17985346878 25157073982 26978020317 29975578130 37735610973 44963367195 53956040634 62892684955 75471221946 89926734390 113206832919 125785369910 134890101585 188678054865 226413665838 269780203170 377356109730 566034164595 1132068329190 1345903458037 2691806916074 4037710374111 6729517290185 8075420748222 12113131122333 13459034580370 20188551870555 24226262244666 40377103741110 60565655611665 121131311223330