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321003030414342 = 23375381143397753
BaseRepresentation
bin100100011111100110101011…
…1100110011000010000000110
31120002120120221010002111222010
41020333031113212120100012
5314033303201241224332
63054414431213115050
7124420463224406163
oct11077152746302006
91502516833074863
10321003030414342
1193310691156611
1230004655488a86
1310a165c0757363
14593a8b577d06a
15271a05b00b9cc
hex123f357998406

321003030414342 has 128 divisors (see below), whose sum is σ = 672868438663680. Its totient is φ = 101982151664640.

The previous prime is 321003030414329. The next prime is 321003030414361. The reversal of 321003030414342 is 243414030300123.

It is a happy number.

It is a super-3 number, since 3×3210030304143423 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41403714738 + ... + 41403722490.

It is an arithmetic number, because the mean of its divisors is an integer number (5256784677060).

Almost surely, 2321003030414342 is an apocalyptic number.

321003030414342 is an abundant number, since it is smaller than the sum of its proper divisors (351865408249338).

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

321003030414342 is a wasteful number, since it uses less digits than its factorization.

321003030414342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 321003030414342 its reverse (243414030300123), we get a palindrome (564417060714465).

The spelling of 321003030414342 in words is "three hundred twenty-one trillion, three billion, thirty million, four hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 37 53 74 106 111 159 222 318 811 1622 1961 2433 3922 4339 4866 5883 7753 8678 11766 13017 15506 23259 26034 30007 42983 46518 60014 85966 90021 128949 160543 180042 229967 257898 286861 321086 410909 459934 481629 573722 689901 821818 860583 963258 1232727 1379802 1590371 1721166 2465454 3180742 3518929 4771113 6287683 7037858 8508779 9542226 10556787 12575366 15203633 17017558 18863049 21113574 25526337 30407266 33640267 37726098 45610899 51052674 67280534 91221798 100920801 130200373 186503237 201841602 232644271 260400746 333247199 373006474 390601119 465288542 559509711 666494398 697932813 781202238 999741597 1119019422 1244689879 1395865626 1782934151 1999483194 2489379758 3565868302 3734069637 5348802453 6900619769 7468139274 10697604906 12330146363 13801239538 20701859307 24660292726 27282256537 36990439089 41403718614 54564513074 65968563587 73980878178 81846769611 131937127174 163693539222 197905690761 395811381522 1009443491869 1445959596461 2018886983738 2891919192922 3028330475607 4337878789383 6056660951214 8675757578766 53500505069057 107001010138114 160501515207171 321003030414342