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321012132103230 = 235591272801509837
BaseRepresentation
bin100100011111101010111011…
…0000110100100010000111110
31120002121110102102112012220120
41020333111312012210100332
5314033430321304300410
63054422534305555410
7124421234613445251
oct11077256606442076
91502543372465816
10321012132103230
1193314531892147
1230006375645b66
1310a174112bca99
14593b0da4a5098
15271a3e00c3570
hex123f5761a443e

321012132103230 has 128 divisors (see below), whose sum is σ = 789939897384960. Its totient is φ = 83459745331200.

The previous prime is 321012132103141. The next prime is 321012132103261. The reversal of 321012132103230 is 32301231210123.

It is a self number, because there is not a number n which added to its sum of digits gives 321012132103230.

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, 629381872 + ... + 629891708.

It is an arithmetic number, because the mean of its divisors is an integer number (6171405448320).

Almost surely, 2321012132103230 is an apocalyptic number.

321012132103230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321012132103230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394969948692480).

321012132103230 is an abundant number, since it is smaller than the sum of its proper divisors (468927765281730).

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

321012132103230 is a wasteful number, since it uses less digits than its factorization.

321012132103230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512834.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 321012132103230 its reverse (32301231210123), we get a palindrome (353313363313353).

The spelling of 321012132103230 in words is "three hundred twenty-one trillion, twelve billion, one hundred thirty-two million, one hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 127 177 254 295 354 381 590 635 762 885 1270 1770 1905 2801 3810 5602 7493 8403 14005 14986 16806 22479 28010 37465 42015 44958 74930 84030 112395 165259 224790 330518 355727 495777 509837 711454 826295 991554 1019674 1067181 1529511 1652590 1778635 2134362 2478885 2549185 3059022 3557270 4957770 5098370 5335905 7647555 10671810 15295110 20987893 30080383 41975786 60160766 62963679 64749299 90241149 104939465 125927358 129498598 150401915 180482298 194247897 209878930 300803830 314818395 323746495 388495794 451205745 629636790 647492990 902411490 971239485 1428053437 1942478970 2856106874 3820208641 4284160311 7140267185 7640417282 8568320622 11460625923 14280534370 19101043205 21420801555 22921251846 38202086410 42841603110 57303129615 84255152783 114606259230 168510305566 181362786499 252765458349 362725572998 421275763915 505530916698 544088359497 842551527830 906813932495 1088176718994 1263827291745 1813627864990 2527654583490 2720441797485 5440883594970 10700404403441 21400808806882 32101213210323 53502022017205 64202426420646 107004044034410 160506066051615 321012132103230