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103022012022000 = 2435323746536319
BaseRepresentation
bin10111011011001010101110…
…011011100011110011110000
3111111202210211011002101021220
4113123022232123203303300
5102000403040034201000
61003035354200145040
730462044332405521
oct2733125633436360
9444683734071256
10103022012022000
112a90a43200a875
12b67a433468180
134563c1b146b26
141b624132d8848
15bd9c8b7191a0
hex5db2ae6e3cf0

103022012022000 has 160 divisors (see below), whose sum is σ = 346583965777920. Its totient is φ = 26278078393600.

The previous prime is 103022012021939. The next prime is 103022012022011. The reversal of 103022012022000 is 220210220301.

It is a happy number.

It is a super-2 number, since 2×1030220120220002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373130160 + ... + 373406159.

It is an arithmetic number, because the mean of its divisors is an integer number (2166149786112).

Almost surely, 2103022012022000 is an apocalyptic number.

103022012022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103022012022000 is an abundant number, since it is smaller than the sum of its proper divisors (243561953755920).

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

103022012022000 is a wasteful number, since it uses less digits than its factorization.

103022012022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746536368 (or 746536352 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103022012022000 its reverse (220210220301), we get a palindrome (103242222242301).

The spelling of 103022012022000 in words is "one hundred three trillion, twenty-two billion, twelve million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 138000 746536319 1493072638 2239608957 2986145276 3732681595 4479217914 5972290552 7465363190 8958435828 11198044785 11944581104 14930726380 17170335337 17916871656 18663407975 22396089570 29861452760 34340670674 35833743312 37326815950 44792179140 51511006011 55990223925 59722905520 68681341348 74653631900 85851676685 89584358280 93317039875 103022012022 111980447850 137362682696 149307263800 171703353370 179168716560 186634079750 206044024044 223960895700 257555030055 274725365392 279951119625 298614527600 343406706740 373268159500 412088048088 429258383425 447921791400 515110060110 559902239250 686813413480 746536319000 824176096176 858516766850 895843582800 1030220120220 1119804478500 1287775150275 1373626826960 1493072638000 1717033533700 2060440240440 2146291917125 2239608957000 2575550300550 3434067067400 4120880480880 4292583834250 4479217914000 5151100601100 6438875751375 6868134134800 8585167668500 10302201202200 12877751502750 17170335337000 20604402404400 25755503005500 34340670674000 51511006011000 103022012022000