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103031332300120 = 23573149732386883
BaseRepresentation
bin10111011011010011011001…
…111101100110010101011000
3111111210200212200211120021211
4113123103121331212111120
5102001031132032100440
61003043535102112504
730462524314434160
oct2733233175462530
9444720780746254
10103031332300120
112a913385075764
12b6801b487b734
134564a75074ab3
141b62a590815a0
15bda134aaceea
hex5db4d9f66558

103031332300120 has 128 divisors (see below), whose sum is σ = 273539197808640. Its totient is φ = 34178622635520.

The previous prime is 103031332300097. The next prime is 103031332300129. The reversal of 103031332300120 is 21003233130301.

It is a junction number, because it is equal to n+sod(n) for n = 103031332300091 and 103031332300100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031332300129) 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, 41972199 + ... + 44359081.

It is an arithmetic number, because the mean of its divisors is an integer number (2137024982880).

Almost surely, 2103031332300120 is an apocalyptic number.

103031332300120 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 103031332300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136769598904320).

103031332300120 is an abundant number, since it is smaller than the sum of its proper divisors (170507865508520).

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

103031332300120 is a wasteful number, since it uses less digits than its factorization.

103031332300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391905 (or 2391901 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103031332300120 its reverse (21003233130301), we get a palindrome (124034565430421).

The spelling of 103031332300120 in words is "one hundred three trillion, thirty-one billion, three hundred thirty-two million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 4973 8680 9946 19892 24865 34811 39784 49730 69622 99460 139244 154163 174055 198920 278488 308326 348110 616652 696220 770815 1079141 1233304 1392440 1541630 2158282 2386883 3083260 4316564 4773766 5395705 6166520 8633128 9547532 10791410 11934415 16708181 19095064 21582820 23868830 33416362 43165640 47737660 66832724 73993373 83540905 95475320 133665448 147986746 167081810 295973492 334163620 369966865 517953611 591946984 668327240 739933730 1035907222 1479867460 2071814444 2589768055 2959734920 4143628888 5179536110 10359072220 11869969159 20718144440 23739938318 47479876636 59349845795 83089784113 94959753272 118699691590 166179568226 237399383180 332359136452 367969043929 415448920565 474798766360 664718272904 735938087858 830897841130 1471876175716 1661795682260 1839845219645 2575783307503 2943752351432 3323591364520 3679690439290 5151566615006 7359380878580 10303133230012 12878916537515 14718761757160 20606266460024 25757833075030 51515666150060 103031332300120