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21230330033100 = 223523471597127703
BaseRepresentation
bin1001101001111000100100…
…10001111011001111001100
32210011121012012110221022110
410310330102101323033030
510240314203442024400
6113053025020344020
74320561240530256
oct464742221731714
983147165427273
1021230330033100
116845806914991
12246a6b66a5010
13bb001c448696
145357a6980cd6
1526c3b263ce50
hex134f1247b3cc

21230330033100 has 144 divisors (see below), whose sum is σ = 61642500127488. Its totient is φ = 5641527010560.

The previous prime is 21230330033063. The next prime is 21230330033147. The reversal of 21230330033100 is 133003303212.

It is a super-2 number, since 2×212303300331002 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 166183849 + ... + 166311551.

It is an arithmetic number, because the mean of its divisors is an integer number (428072917552).

Almost surely, 221230330033100 is an apocalyptic number.

21230330033100 is a gapful number since it is divisible by the number (20) 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 21230330033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30821250063744).

21230330033100 is an abundant number, since it is smaller than the sum of its proper divisors (40412170094388).

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

21230330033100 is a wasteful number, since it uses less digits than its factorization.

21230330033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129664 (or 129657 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 21230330033100 its reverse (133003303212), we get a palindrome (21363333336312).

The spelling of 21230330033100 in words is "twenty-one trillion, two hundred thirty billion, three hundred thirty million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 347 694 1041 1388 1597 1735 2082 3194 3470 4164 4791 5205 6388 6940 7985 8675 9582 10410 15970 17350 19164 20820 23955 26025 31940 34700 39925 47910 52050 79850 95820 104100 119775 127703 159700 239550 255406 383109 479100 510812 554159 638515 766218 1108318 1277030 1532436 1662477 1915545 2216636 2554060 2770795 3192575 3324954 3831090 5541590 6385150 6649908 7662180 8312385 9577725 11083180 12770300 13853975 16624770 19155450 27707950 33249540 38310900 41561925 44312941 55415900 83123850 88625882 132938823 166247700 177251764 203941691 221564705 265877646 407883382 443129410 531755292 611825073 664694115 815766764 886258820 1019708455 1107823525 1223650146 1329388230 2039416910 2215647050 2447300292 2658776460 3059125365 3323470575 4078833820 4431294100 5098542275 6118250730 6646941150 10197084550 12236501460 13293882300 15295626825 20394169100 30591253650 61182507300 70767766777 141535533554 212303300331 283071067108 353838833885 424606600662 707677667770 849213201324 1061516501655 1415355335540 1769194169425 2123033003310 3538388338850 4246066006620 5307582508275 7076776677700 10615165016550 21230330033100