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3020113209978 = 2331710935338543
BaseRepresentation
bin101011111100101100110…
…001100110101001111010
3101200201102212211012121000
4223330230301212221322
5343440142440204403
610231230523225430
7431124135502164
oct53745461465172
911621385735530
103020113209978
11a6490619a067
12409399978276
1318ba457c4c97
14a626224b934
15538603c37a3
hex2bf2cc66a7a

3020113209978 has 128 divisors (see below), whose sum is σ = 7174212249600. Its totient is φ = 938418379776.

The previous prime is 3020113209929. The next prime is 3020113210001. The reversal of 3020113209978 is 8799023110203.

3020113209978 is a `hidden beast` number, since 30 + 201 + 1 + 320 + 9 + 97 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353514775 + ... + 353523317.

It is an arithmetic number, because the mean of its divisors is an integer number (56048533200).

Almost surely, 23020113209978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020113209978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587106124800).

3020113209978 is an abundant number, since it is smaller than the sum of its proper divisors (4154099039622).

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

3020113209978 is a wasteful number, since it uses less digits than its factorization.

3020113209978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12213 (or 12207 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 3020113209978 in words is "three trillion, twenty billion, one hundred thirteen million, two hundred nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 109 153 218 306 327 459 654 918 981 1853 1962 2943 3533 3706 5559 5886 7066 8543 10599 11118 16677 17086 21198 25629 31797 33354 50031 51258 60061 63594 76887 95391 100062 120122 145231 153774 180183 190782 230661 290462 360366 385097 435693 461322 540549 770194 871386 931187 1081098 1155291 1307079 1621647 1862374 2310582 2614158 2793561 3243294 3465873 3921237 5587122 6546649 6931746 7842474 8380683 10397619 13093298 15830179 16761366 19639947 20795238 25142049 30182419 31660358 39279894 47490537 50284098 58919841 60364838 90547257 94981074 117839682 142471611 176759523 181094514 271641771 284943222 353519046 427414833 513101123 543283542 814925313 854829666 1026202246 1539303369 1629850626 3078606738 3289883671 4617910107 6579767342 9235820214 9869651013 13853730321 19739302026 27707460642 29608953039 55928022407 59217906078 88826859117 111856044814 167784067221 177653718234 335568134442 503352201663 1006704403326 1510056604989 3020113209978