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103323203120 = 2456745742181
BaseRepresentation
bin110000000111010001…
…0101111011000110000
3100212200202211112220202
41200032202233120300
53143101214444440
6115244354454332
710315305510224
oct1401642573060
9325622745822
10103323203120
113a901288865
12180368943a8
139988157117
14500255a784
152a4ad72615
hex180e8af630

103323203120 has 80 divisors (see below), whose sum is σ = 244351214688. Its totient is φ = 40622376960.

The previous prime is 103323203101. The next prime is 103323203131. The reversal of 103323203120 is 21302323301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103323203092 and 103323203101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2428430 + ... + 2470610.

Almost surely, 2103323203120 is an apocalyptic number.

103323203120 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 103323203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122175607344).

103323203120 is an abundant number, since it is smaller than the sum of its proper divisors (141028011568).

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

103323203120 is a wasteful number, since it uses less digits than its factorization.

103323203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42718 (or 42712 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103323203120 its reverse (21302323301), we get a palindrome (124625526421).

The spelling of 103323203120 in words is "one hundred three billion, three hundred twenty-three million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 457 536 670 914 1072 1340 1828 2285 2680 3656 4570 5360 7312 9140 18280 30619 36560 42181 61238 84362 122476 153095 168724 210905 244952 306190 337448 421810 489904 612380 674896 843620 1224760 1687240 2449520 2826127 3374480 5652254 11304508 14130635 19276717 22609016 28261270 38553434 45218032 56522540 77106868 96383585 113045080 154213736 192767170 226090160 308427472 385534340 771068680 1291540039 1542137360 2583080078 5166160156 6457700195 10332320312 12915400390 20664640624 25830800780 51661601560 103323203120