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330230100013422 = 23743197953973957
BaseRepresentation
bin100101100010101111010111…
…1110011100011000101101110
31121022020200121110102010211120
41023011132233303203011232
5321240442221100412142
63130201340313201410
7126362223504051420
oct11305365763430556
91538220543363746
10330230100013422
1196248887416324
1231054980400266
1311235745b74c5b
145b79317704810
15282a09938e7ec
hex12c57afce316e

330230100013422 has 128 divisors (see below), whose sum is σ = 777101422040064. Its totient is φ = 91593128567808.

The previous prime is 330230100013399. The next prime is 330230100013433. The reversal of 330230100013422 is 224310001032033.

It is a junction number, because it is equal to n+sod(n) for n = 330230100013392 and 330230100013401.

It is a congruent number.

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, 338573268 + ... + 339547224.

It is an arithmetic number, because the mean of its divisors is an integer number (6071104859688).

Almost surely, 2330230100013422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330230100013422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388550711020032).

330230100013422 is an abundant number, since it is smaller than the sum of its proper divisors (446871322026642).

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

330230100013422 is a wasteful number, since it uses less digits than its factorization.

330230100013422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975162.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 330230100013422 its reverse (224310001032033), we get a palindrome (554540101045455).

The spelling of 330230100013422 in words is "three hundred thirty trillion, two hundred thirty billion, one hundred million, thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 197 258 301 394 591 602 903 953 1182 1379 1806 1906 2758 2859 4137 5718 6671 8274 8471 13342 16942 20013 25413 40026 40979 50826 59297 81958 118594 122937 177891 187741 245874 286853 355782 375482 563223 573706 860559 973957 1126446 1314187 1721118 1947914 2628374 2921871 3942561 5843742 6817699 7885122 8072863 13635398 16145726 20453097 24218589 40906194 41880151 48437178 56510041 83760302 113020082 125640453 169530123 191869529 251280906 293161057 339060246 383739058 575608587 586322114 879483171 928181021 1151217174 1343086703 1758966342 1856362042 2686173406 2784543063 4029260109 5569086126 6497267147 8058520218 8250389747 12994534294 16500779494 19491801441 24751169241 38983602882 39911783903 49502338482 57752728229 79823567806 115505456458 119735351709 173258184687 182851661137 239470703418 279382487321 346516369374 365703322274 548554983411 558764974642 838147461963 1097109966822 1279961627959 1676294923926 2559923255918 3839884883877 7679769767754 7862621428891 15725242857782 23587864286673 47175728573346 55038350002237 110076700004474 165115050006711 330230100013422