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1070216211141 = 3271117257353473
BaseRepresentation
bin11111001001011011101…
…10110110101011000101
310210022102012121112021200
433210231312312223011
5120013300322224031
62135352303333113
7140214645461610
oct17445566665305
93708365545250
101070216211141
11382970172660
121534b92b1199
1379bc845517c
1439b27a61177
151cc8ad348e6
hexf92ddb6ac5

1070216211141 has 96 divisors (see below), whose sum is σ = 2048633503488. Its totient is φ = 521215672320.

The previous prime is 1070216211137. The next prime is 1070216211167. The reversal of 1070216211141 is 1411126120701.

1070216211141 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 21 + 621 + 1 + 14 + 1 = 666.

It is not a de Polignac number, because 1070216211141 - 22 = 1070216211137 is a prime.

It is a super-2 number, since 2×10702162111412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070216211541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2850981 + ... + 3204453.

It is an arithmetic number, because the mean of its divisors is an integer number (21339932328).

Almost surely, 21070216211141 is an apocalyptic number.

1070216211141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1070216211141 is a deficient number, since it is larger than the sum of its proper divisors (978417292347).

1070216211141 is a wasteful number, since it uses less digits than its factorization.

1070216211141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353771 (or 353768 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 1070216211141 in words is "one trillion, seventy billion, two hundred sixteen million, two hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 257 357 561 693 771 1071 1309 1683 1799 2313 2827 3927 4369 5397 8481 11781 13107 16191 19789 25443 30583 39321 48059 59367 91749 144177 178101 275247 336413 353473 432531 1009239 1060419 2474311 3027717 3181257 3888203 6009041 7422933 11664609 18027123 22268799 27217421 34993827 42063287 54081369 66099451 81652263 90842561 126189861 198298353 244956789 272527683 378569583 462696157 594895059 635897927 817583049 999268171 1388088471 1544323537 1907693781 2997804513 4164265413 4632970611 5723081343 6994877197 8993413539 10810264759 13898911833 16987558907 20984631591 32430794277 50962676721 62953894773 97292382831 118912912349 152888030163 356738737047 1070216211141