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10324311221004 = 223112229233133261
BaseRepresentation
bin1001011000111101000011…
…1001110010001100001100
31100112222212000000021020020
42112033100321302030030
52323123142133033004
633542531220022140
72113623025263204
oct226172071621414
940488760007206
1010324311221004
113320574591500
1211a8b06b31950
1359b7698ac7b1
142799b0d61404
1512d85babb8d9
hex963d0e7230c

10324311221004 has 144 divisors (see below), whose sum is σ = 26709126968160. Its totient is φ = 3101525222400.

The previous prime is 10324311220969. The next prime is 10324311221027. The reversal of 10324311221004 is 40012211342301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77407734 + ... + 77540994.

It is an arithmetic number, because the mean of its divisors is an integer number (185480048390).

Almost surely, 210324311221004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10324311221004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13354563484080).

10324311221004 is an abundant number, since it is smaller than the sum of its proper divisors (16384815747156).

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

10324311221004 is a wasteful number, since it uses less digits than its factorization.

10324311221004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133752 (or 133739 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10324311221004 its reverse (40012211342301), we get a palindrome (50336522563305).

The spelling of 10324311221004 in words is "ten trillion, three hundred twenty-four billion, three hundred eleven million, two hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 229 233 242 363 458 466 484 687 699 726 916 932 1374 1398 1452 2519 2563 2748 2796 5038 5126 7557 7689 10076 10252 15114 15378 27709 28193 30228 30756 53357 55418 56386 83127 84579 106714 110836 112772 133261 160071 166254 169158 213428 266522 320142 332508 338316 399783 533044 586927 640284 799566 1173854 1465871 1599132 1760781 2347708 2931742 3521562 4397613 5863484 6456197 7043124 8795226 12912394 16124581 17590452 19368591 25824788 30516769 31049813 32249162 38737182 48373743 61033538 62099626 64498324 77474364 91550307 93149439 96747486 122067076 124199252 183100614 186298878 193494972 335684459 341547943 366201228 372597756 671368918 683095886 1007053377 1024643829 1342737836 1366191772 2014106754 2049287658 3692529049 3757027373 4028213508 4098575316 7110407177 7385058098 7514054746 11077587147 11271082119 14220814354 14770116196 15028109492 21331221531 22155174294 22542164238 28441628708 42662443062 44310348588 45084328476 78214478947 85324886124 156428957894 234643436841 312857915788 469286873682 860359268417 938573747364 1720718536834 2581077805251 3441437073668 5162155610502 10324311221004