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122003103320 = 23577912134547
BaseRepresentation
bin111000110011111110…
…0111001111001011000
3102122220121100210200022
41301213330321321120
53444330243301240
6132014125530012
711546231160530
oct1614774717130
9378817323608
10122003103320
114781763130a
121b78a713908
13b6741aa0c7
145c953ac4c0
153290c7c9b5
hex1c67f39e58

122003103320 has 128 divisors (see below), whose sum is σ = 318025267200. Its totient is φ = 41257022976.

The previous prime is 122003103317. The next prime is 122003103367. The reversal of 122003103320 is 23301300221.

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, 26829287 + ... + 26833833.

It is an arithmetic number, because the mean of its divisors is an integer number (2484572400).

Almost surely, 2122003103320 is an apocalyptic number.

122003103320 is a gapful number since it is divisible by the number (10) 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 122003103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159012633600).

122003103320 is an abundant number, since it is smaller than the sum of its proper divisors (196022163880).

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

122003103320 is a wasteful number, since it uses less digits than its factorization.

122003103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 122003103320 its reverse (23301300221), we get a palindrome (145304403541).

The spelling of 122003103320 in words is "one hundred twenty-two billion, three million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1213 1580 2212 2426 2765 3160 4424 4547 4852 5530 6065 8491 9094 9704 11060 12130 16982 18188 22120 22735 24260 31829 33964 36376 42455 45470 48520 63658 67928 84910 90940 95827 127316 159145 169820 181880 191654 254632 318290 339640 359213 383308 479135 636580 670789 718426 766616 958270 1273160 1341578 1436852 1796065 1916540 2514491 2683156 2873704 3353945 3592130 3833080 5028982 5366312 5515511 6707890 7184260 10057964 11031022 12572455 13415780 14368520 20115928 22062044 25144910 26831560 27577555 38608577 44124088 50289820 55155110 77217154 100579640 110310220 154434308 193042885 220620440 308868616 386085770 435725369 772171540 871450738 1544343080 1742901476 2178626845 3050077583 3485802952 4357253690 6100155166 8714507380 12200310332 15250387915 17429014760 24400620664 30500775830 61001551660 122003103320