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102003000122232 = 233311139013088307
BaseRepresentation
bin10111001100010101101100…
…100101101001101101111000
3111101011101120110102101021000
4113030111230211221231320
5101332204121012402412
61000535310434445000
730325321301232336
oct2714255445515570
9441141513371230
10102003000122232
112a5572583a1220
12b534a46433760
1344bbac3105371
141b28d85cdab56
15bbd4ead674dc
hex5cc56c969b78

102003000122232 has 128 divisors (see below), whose sum is σ = 309122336275200. Its totient is φ = 30907766448000.

The previous prime is 102003000122227. The next prime is 102003000122237. The reversal of 102003000122232 is 232221000300201.

102003000122232 is a `hidden beast` number, since 10 + 2 + 0 + 0 + 300 + 0 + 122 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (102003000122227) and next prime (102003000122237).

It is a super-2 number, since 2×1020030001222322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003000122237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31484623 + ... + 34572929.

It is an arithmetic number, because the mean of its divisors is an integer number (2415018252150).

Almost surely, 2102003000122232 is an apocalyptic number.

102003000122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102003000122232 is an abundant number, since it is smaller than the sum of its proper divisors (207119336152968).

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

102003000122232 is a wasteful number, since it uses less digits than its factorization.

102003000122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102234 (or 3102224 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102003000122232 its reverse (232221000300201), we get a palindrome (334224000422433).

The spelling of 102003000122232 in words is "one hundred two trillion, three billion, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 13901 27802 41703 55604 83406 111208 125109 152911 166812 250218 305822 333624 375327 458733 500436 611644 750654 917466 1000872 1223288 1376199 1501308 1834932 2752398 3002616 3088307 3669864 4128597 5504796 6176614 8257194 9264921 11009592 12353228 16514388 18529842 24706456 27794763 33028776 33971377 37059684 55589526 67942754 74119368 83384289 101914131 111179052 135885508 166768578 203828262 222358104 271771016 305742393 333537156 407656524 611484786 667074312 815313048 917227179 1222969572 1834454358 2445939144 3668908716 7337817432 42930555607 85861111214 128791666821 171722222428 257583333642 343444444856 386375000463 472236111677 515166667284 772750000926 944472223354 1030333334568 1159125001389 1416708335031 1545500001852 1888944446708 2318250002778 2833416670062 3091000003704 3777888893416 4250125005093 4636500005556 5666833340124 8500250010186 9273000011112 11333666680248 12750375015279 17000500020372 25500750030558 34001000040744 51001500061116 102003000122232