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321025100242 = 272112172369239
BaseRepresentation
bin1001010101111101001…
…01100100100111010010
31010200121210100210011111
410222332211210213102
520224424411201432
6403251002003534
732123205220600
oct4527645444722
91120553323144
10321025100242
11114167333300
12522727a65aa
13243709c1422
141177562a870
15853d418347
hex4abe9649d2

321025100242 has 144 divisors (see below), whose sum is σ = 680281338240. Its totient is φ = 112597605120.

The previous prime is 321025100197. The next prime is 321025100243. The reversal of 321025100242 is 242001520123.

It is a happy number.

It is a super-4 number, since 4×3210251002424 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (321025100243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4601859 + ... + 4671097.

It is an arithmetic number, because the mean of its divisors is an integer number (4724175960).

Almost surely, 2321025100242 is an apocalyptic number.

321025100242 is an abundant number, since it is smaller than the sum of its proper divisors (359256237998).

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

321025100242 is a wasteful number, since it uses less digits than its factorization.

321025100242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69317 (or 69299 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 321025100242 its reverse (242001520123), we get a palindrome (563026620365).

The spelling of 321025100242 in words is "three hundred twenty-one billion, twenty-five million, one hundred thousand, two hundred forty-two".

Divisors: 1 2 7 11 14 17 22 23 34 46 49 77 98 119 121 154 161 187 238 242 253 322 374 391 506 539 782 833 847 1078 1127 1309 1666 1694 1771 2057 2254 2618 2737 2783 3542 4114 4301 5474 5566 5929 8602 9163 11858 12397 14399 18326 19159 19481 24794 28798 30107 38318 38962 47311 60214 69239 94622 100793 136367 138478 201586 210749 272734 331177 421498 484673 662354 761629 969346 1177063 1523258 1592497 2318239 2354126 3184994 3392711 4636478 5331403 6785422 8239441 8377919 10662806 11147479 12947693 16478882 16755838 17517467 22294958 25895386 27072449 35034934 37319821 54144898 57676087 58645433 74639642 78032353 90633851 115352174 117290866 122622269 142424623 156064706 181267702 189507143 192692137 245244538 284849246 297796939 379014286 385384274 410518031 595593878 634436957 821036062 858355883 996972361 1268873914 1326550001 1348844959 1716711766 1993944722 2084578573 2653100002 2697689918 3275766329 4169157146 6551532658 6978806527 9441914713 13957613054 14592050011 18883829426 22930364303 29184100022 45860728606 160512550121 321025100242