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213321123092 = 227211971079533
BaseRepresentation
bin1100011010101011101…
…1100000010100010100
3202101121201022212000202
43012222323200110110
511443340201414332
6241555352000032
721261203425400
oct3065273402424
9671551285022
10213321123092
1182518238140
1235414990018
13171680a632c
14a47935c100
155837ba8a62
hex31aaee0514

213321123092 has 144 divisors (see below), whose sum is σ = 483146814528. Its totient is φ = 81478010880.

The previous prime is 213321123091. The next prime is 213321123101. The reversal of 213321123092 is 290321123312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213321123091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22372358 + ... + 22381890.

It is an arithmetic number, because the mean of its divisors is an integer number (3355186212).

Almost surely, 2213321123092 is an apocalyptic number.

213321123092 is a gapful number since it is divisible by the number (22) 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 213321123092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241573407264).

213321123092 is an abundant number, since it is smaller than the sum of its proper divisors (269825691436).

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

213321123092 is a wasteful number, since it uses less digits than its factorization.

213321123092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9766 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 213321123092 in words is "two hundred thirteen billion, three hundred twenty-one million, one hundred twenty-three thousand, ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 97 98 107 154 194 196 214 308 388 428 539 679 749 1067 1078 1177 1358 1498 2134 2156 2354 2716 2996 4268 4708 4753 5243 7469 8239 9506 9533 10379 10486 14938 16478 19012 19066 20758 20972 29876 32956 38132 41516 52283 57673 66731 72653 104566 104863 114169 115346 133462 145306 209132 209726 228338 230692 266924 290612 419452 456676 467117 508571 734041 799183 924701 934234 1017142 1020031 1468082 1598366 1849402 1868468 2034284 2040062 2936164 3196732 3698804 4080124 5138287 5594281 6472907 7140217 10171711 10276574 11188562 11220341 12945814 14280434 20343422 20553148 22377124 22440682 25891628 28560868 40686844 44881364 45310349 49981519 71201977 78542387 90620698 98943007 99963038 142403954 157084774 181241396 197886014 199926076 284807908 314169548 395772028 498413839 549796709 692601049 996827678 1088373077 1099593418 1385202098 1993655356 2176746154 2199186836 2770404196 4353492308 4848207343 7618611539 9696414686 15237223078 19392829372 30474446156 53330280773 106660561546 213321123092