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30324856640100 = 223521124113811427
BaseRepresentation
bin1101110010100100011100…
…10011101101001001100100
310222101000202101202221020020
412321102032103231021210
512433320301244440400
6144255014040235140
76246620134310211
oct671221623551144
9128330671687206
1030324856640100
119731777007a20
1234991b116bab0
1313bc810b8b909
1476ba337d8b08
15378c4478d2a0
hex1b948e4ed264

30324856640100 has 144 divisors (see below), whose sum is σ = 95755999723776. Its totient is φ = 7348429328000.

The previous prime is 30324856640081. The next prime is 30324856640123. The reversal of 30324856640100 is 104665842303.

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, 6050587 + ... + 9862013.

It is an arithmetic number, because the mean of its divisors is an integer number (664972220304).

Almost surely, 230324856640100 is an apocalyptic number.

30324856640100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30324856640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47877999861888).

30324856640100 is an abundant number, since it is smaller than the sum of its proper divisors (65431143083676).

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

30324856640100 is a wasteful number, since it uses less digits than its factorization.

30324856640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813866 (or 3813859 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 30324856640100 in words is "thirty trillion, three hundred twenty-four billion, eight hundred fifty-six million, six hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2411 3300 4822 7233 9644 12055 14466 24110 26521 28932 36165 48220 53042 60275 72330 79563 106084 120550 132605 144660 159126 180825 241100 265210 318252 361650 397815 530420 663025 723300 795630 1326050 1591260 1989075 2652100 3811427 3978150 7622854 7956300 11434281 15245708 19057135 22868562 38114270 41925697 45737124 57171405 76228540 83851394 95285675 114342810 125777091 167702788 190571350 209628485 228685620 251554182 285857025 381142700 419256970 503108364 571714050 628885455 838513940 1048142425 1143428100 1257770910 2096284850 2515541820 3144427275 4192569700 6288854550 9189350497 12577709100 18378700994 27568051491 36757401988 45946752485 55136102982 91893504970 101082855467 110272205964 137840257455 183787009940 202165710934 229733762425 275680514910 303248566401 404331421868 459467524850 505414277335 551361029820 606497132802 689201287275 918935049700 1010828554670 1212994265604 1378402574550 1516242832005 2021657109340 2527071386675 2756805149100 3032485664010 5054142773350 6064971328020 7581214160025 10108285546700 15162428320050 30324856640100