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103322212303310 = 257111349920685169
BaseRepresentation
bin10111011111100010010011…
…110000110000000111001110
3111112211111200121212202100022
4113133202103300300013032
5102020312342322201220
61003425322530102142
730522532511606540
oct2737422360600716
9445744617782308
10103322212303310
112aa15782271410
12b708653a1a952
1345863205caa90
141b72b70c93690
15be29ab78a925
hex5df893c301ce

103322212303310 has 128 divisors (see below), whose sum is σ = 250207816320000. Its totient is φ = 29667495352320.

The previous prime is 103322212303307. The next prime is 103322212303337. The reversal of 103322212303310 is 13303212223301.

It is a super-2 number, since 2×1033222123033102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 103322212303310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5347595 + ... + 15337574.

It is an arithmetic number, because the mean of its divisors is an integer number (1954748565000).

Almost surely, 2103322212303310 is an apocalyptic number.

103322212303310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103322212303310 is an abundant number, since it is smaller than the sum of its proper divisors (146885604016690).

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

103322212303310 is a wasteful number, since it uses less digits than its factorization.

103322212303310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20685706.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 103322212303310 its reverse (13303212223301), we get a palindrome (116625424526611).

The spelling of 103322212303310 in words is "one hundred three trillion, three hundred twenty-two billion, two hundred twelve million, three hundred three thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 499 715 770 910 998 1001 1430 2002 2495 3493 4990 5005 5489 6487 6986 10010 10978 12974 17465 27445 32435 34930 38423 45409 54890 64870 71357 76846 90818 142714 192115 227045 356785 384230 454090 499499 713570 998998 2497495 4994990 20685169 41370338 103425845 144796183 206851690 227536859 268907197 289592366 455073718 537814394 723980915 1137684295 1344535985 1447961830 1592758013 1882350379 2275368590 2689071970 2957979167 3185516026 3764700758 5915958334 7963790065 9411751895 10321899331 14789895835 15927580130 18823503790 20643798662 20705854169 29579791670 41411708338 51609496655 72253295317 103218993310 103529270845 113540892641 134184691303 144506590634 207058541690 227081785282 268369382606 361266476585 567704463205 670923456515 722532953170 794786248487 939292839121 1135408926410 1341846913030 1476031604333 1589572496974 1878585678242 2952063208666 3973931242435 4696464195605 7380158021665 7947862484870 9392928391210 10332221230331 14760316043330 20664442460662 51661106151655 103322212303310