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102212333023320 = 233251321680018623
BaseRepresentation
bin10111001111011000101001…
…110011010011000001011000
3111101220101220020012120012200
4113033120221303103001120
5101344121324223221240
61001215410401210200
730346411616440452
oct2717305163230130
9441811806176180
10102212333023320
112a62800935a113
12b569527630960
134505773b51c00
141b351636cd2d2
15bc3b9d825930
hex5cf629cd3058

102212333023320 has 144 divisors (see below), whose sum is σ = 359708787584640. Its totient is φ = 25159958883072.

The previous prime is 102212333023303. The next prime is 102212333023337. The reversal of 102212333023320 is 23320333212201.

102212333023320 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 2 + 3 + 330 + 2 + 3 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (102212333023303) and next prime (102212333023337).

It is a super-2 number, since 2×1022123330233202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 839948472 + ... + 840070151.

It is an arithmetic number, because the mean of its divisors is an integer number (2497977691560).

Almost surely, 2102212333023320 is an apocalyptic number.

102212333023320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212333023320 is an abundant number, since it is smaller than the sum of its proper divisors (257496454561320).

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

102212333023320 is a wasteful number, since it uses less digits than its factorization.

102212333023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680018666 (or 1680018646 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 102212333023320 its reverse (23320333212201), we get a palindrome (125532666235521).

The spelling of 102212333023320 in words is "one hundred two trillion, two hundred twelve billion, three hundred thirty-three million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 2028 2340 2535 3042 3380 4056 4680 5070 6084 6760 7605 10140 12168 15210 20280 30420 60840 1680018623 3360037246 5040055869 6720074492 8400093115 10080111738 13440148984 15120167607 16800186230 20160223476 21840242099 25200279345 30240335214 33600372460 40320446952 43680484198 50400558690 60480670428 65520726297 67200744920 75600838035 87360968396 100801117380 109201210495 120961340856 131041452594 151201676070 174721936792 196562178891 201602234760 218402420990 262082905188 283923147287 302403352140 327603631485 393124357782 436804841980 524165810376 567846294574 604806704280 655207262970 786248715564 851769441861 873609683960 982810894455 1135692589148 1310414525940 1419615736435 1572497431128 1703538883722 1965621788910 2271385178296 2555308325583 2620829051880 2839231472870 3407077767444 3931243577820 4258847209305 5110616651166 5678462945740 6814155534888 7862487155640 8517694418610 10221233302332 11356925891480 12776541627915 17035388837220 20442466604664 25553083255830 34070777674440 51106166511660 102212333023320