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3020362331004 = 223217231091968581
BaseRepresentation
bin101011111100111011100…
…111111011001101111100
3101200202002020120212101200
4223330323213323031330
5343441200224043004
610231311342535500
7431133252133434
oct53747347731574
911622066525350
103020362331004
11a64a23882407
12409449297590
1318ba852ba585
14a62873792c4
15538771d2239
hex2bf3b9fb37c

3020362331004 has 144 divisors (see below), whose sum is σ = 8512778514240. Its totient is φ = 898050447360.

The previous prime is 3020362330957. The next prime is 3020362331023. The reversal of 3020362331004 is 4001332630203.

It is a happy number.

3020362331004 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 3 + 623 + 31 + 0 + 0 + 4 = 666.

It is a super-3 number, since 3×30203623310043 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549994 + ... + 2518574.

It is an arithmetic number, because the mean of its divisors is an integer number (59116517460).

Almost surely, 23020362331004 is an apocalyptic number.

3020362331004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020362331004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256389257120).

3020362331004 is an abundant number, since it is smaller than the sum of its proper divisors (5492416183236).

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

3020362331004 is a wasteful number, since it uses less digits than its factorization.

3020362331004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968740 (or 1968735 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3020362331004 its reverse (4001332630203), we get a palindrome (7021694961207).

The spelling of 3020362331004 in words is "three trillion, twenty billion, three hundred sixty-two million, three hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 109 138 153 204 207 218 276 306 327 391 414 436 612 654 782 828 981 1173 1308 1564 1853 1962 2346 2507 3519 3706 3924 4692 5014 5559 7038 7412 7521 10028 11118 14076 15042 16677 22236 22563 30084 33354 42619 45126 66708 85238 90252 127857 170476 255714 383571 511428 767142 1534284 1968581 3937162 5905743 7874324 11811486 17717229 23622972 33465877 35434458 45277363 66931754 70868916 90554726 100397631 133863508 135832089 181109452 200795262 214575329 271664178 301192893 401590524 407496267 429150658 543328356 602385786 643725987 769715171 814992534 858301316 1204771572 1287451974 1539430342 1629985068 1931177961 2309145513 2574903948 3078860684 3647780593 3862355922 4618291026 4935232567 6927436539 7295561186 7724711844 9236582052 9870465134 10943341779 13854873078 14591122372 14805697701 19740930268 21886683558 27709746156 29611395402 32830025337 43773367116 44417093103 59222790804 65660050674 83898953639 88834186206 131320101348 167797907278 177668372412 251696860917 335595814556 503393721834 755090582751 1006787443668 1510181165502 3020362331004