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10380066119721 = 341928322272
BaseRepresentation
bin1001011100001100110000…
…1001110110000000101001
31100202022202122200120210000
42113003030021312000221
52330031333411312341
634024311521013213
72120635500144264
oct227031411660051
940668678616700
1010380066119721
1133421857980a1
1211b7887184209
135a3ab39cc51c
1427c57dadbcdb
151300217d18b6
hex970cc276029

10380066119721 has 135 divisors (see below), whose sum is σ = 16637922863661. Its totient is φ = 6448312956816.

The previous prime is 10380066119693. The next prime is 10380066119723. The reversal of 10380066119721 is 12791166008301.

The square root of 10380066119721 is 3221811.

It is a perfect power (a square), and thus also a powerful number.

10380066119721 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 0 + 6 + 611 + 9 + 7 + 21 = 666.

It is not a de Polignac number, because 10380066119721 - 233 = 10371476185129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10380066119723) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 45727163410 + ... + 45727163636.

Almost surely, 210380066119721 is an apocalyptic number.

10380066119721 is the 3221811-st square number.

10380066119721 is the 1610906-th centered octagonal number.

It is an amenable number.

10380066119721 is a deficient number, since it is larger than the sum of its proper divisors (6257856743940).

10380066119721 is an frugal number, since it uses more digits than its factorization.

10380066119721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10380066119721 in words is "ten trillion, three hundred eighty billion, sixty-six million, one hundred nineteen thousand, seven hundred twenty-one".

Divisors: 1 3 9 19 27 57 81 83 171 227 249 361 513 681 747 1083 1539 1577 2043 2241 3249 4313 4731 6129 6723 6889 9747 12939 14193 18387 18841 20667 29241 29963 38817 42579 51529 56523 62001 81947 89889 116451 127737 130891 154587 169569 186003 245841 269667 349353 357979 392673 463761 508707 558009 737523 809001 979051 1073937 1178019 1391283 1526121 1563803 2212569 2427003 2486929 2937153 3221811 3534057 4173849 4276907 4691409 6637707 6801601 7460787 8811459 9665433 10602171 12830721 14074227 18601969 20404803 22382361 26434377 28996299 29712257 38492163 42222681 55805907 61214409 67147083 79303131 81261233 89136771 115476489 126668043 167417721 183643227 201441249 243783699 267410313 346429467 354983281 502253163 550929681 564532883 731351097 802230939 1064949843 1506759489 1543963427 1693598649 2194053291 2406692817 3194849529 4631890281 5080795947 6582159873 6744682339 9584548587 13895670843 15242387841 20234047017 28753645761 41687012529 45727163523 60702141051 125061037587 128148964441 182106423153 384446893323 546319269459 1153340679969 3460022039907 10380066119721