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331133130212130 = 2325239126371218199
BaseRepresentation
bin100101101001010011111000…
…0100110011000001100100010
31121102110000111012001021020200
41023102213300212120030202
5321400241122313242010
63132132243204250030
7126514402441101501
oct11322476046301442
91542400435037220
10331133130212130
1196566854422274
123117b99b3a0916
131129c949359b3c
145baad01314838
1528437ec927cc0
hex12d29f0998322

331133130212130 has 96 divisors (see below), whose sum is σ = 864617547456000. Its totient is φ = 87925672388736.

The previous prime is 331133130212111. The next prime is 331133130212147. The reversal of 331133130212130 is 31212031331133.

331133130212130 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 313 + 0 + 212 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331133130212094 and 331133130212103.

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, 271212771 + ... + 272430969.

It is an arithmetic number, because the mean of its divisors is an integer number (9006432786000).

Almost surely, 2331133130212130 is an apocalyptic number.

331133130212130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331133130212130 is an abundant number, since it is smaller than the sum of its proper divisors (533484417243870).

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

331133130212130 is a wasteful number, since it uses less digits than its factorization.

331133130212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231088 (or 1231085 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 331133130212130 its reverse (31212031331133), we get a palindrome (362345161543263).

The spelling of 331133130212130 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, one hundred thirty million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 239 478 717 1195 1434 2151 2390 3585 4302 7170 10755 12637 21510 25274 37911 63185 75822 113733 126370 189555 227466 379110 568665 1137330 1218199 2436398 3020243 3654597 6040486 6090995 7309194 9060729 10963791 12181990 15101215 18121458 18272985 21927582 27182187 30202430 36545970 45303645 54364374 54818955 90607290 109637910 135910935 271821870 291149561 582299122 873448683 1455747805 1746897366 2620346049 2911495610 4367243415 5240692098 8734486830 13101730245 15394380763 26203460490 30788761526 46183142289 76971903815 92366284578 138549426867 153943807630 230915711445 277098853734 461831422890 692747134335 1385494268670 3679257002357 7358514004714 11037771007071 18396285011785 22075542014142 33113313021213 36792570023570 55188855035355 66226626042426 110377710070710 165566565106065 331133130212130