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113822180304 = 24372367219829
BaseRepresentation
bin110101000000001010…
…1001010001111010000
3101212210110111212001120
41222000111022033100
53331101434232204
6124142244202240
711136422366160
oct1520025121720
9355713455046
10113822180304
11442a9720808
121a086999380
13a96c32bc61
14571aa8a5a0
152e629456d9
hex1a8054a3d0

113822180304 has 160 divisors (see below), whose sum is σ = 355892459520. Its totient is φ = 30642264576.

The previous prime is 113822180279. The next prime is 113822180401. The reversal of 113822180304 is 403081228311.

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, 407862 + ... + 627690.

It is an arithmetic number, because the mean of its divisors is an integer number (2224327872).

Almost surely, 2113822180304 is an apocalyptic number.

113822180304 is a gapful number since it is divisible by the number (14) 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 113822180304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177946229760).

113822180304 is an abundant number, since it is smaller than the sum of its proper divisors (242070279216).

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

113822180304 is a wasteful number, since it uses less digits than its factorization.

113822180304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219937 (or 219931 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 113822180304 in words is "one hundred thirteen billion, eight hundred twenty-two million, one hundred eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 67 69 84 92 112 134 138 161 168 184 201 268 276 322 336 368 402 469 483 536 552 644 804 938 966 1072 1104 1288 1407 1541 1608 1876 1932 2576 2814 3082 3216 3752 3864 4623 5628 6164 7504 7728 9246 10787 11256 12328 18492 21574 22512 24656 32361 36984 43148 64722 73968 86296 129444 172592 219829 258888 439658 517776 659487 879316 1318974 1538803 1758632 2637948 3077606 3517264 4616409 5056067 5275896 6155212 9232818 10112134 10551792 12310424 14728543 15168201 18465636 20224268 24620848 29457086 30336402 35392469 36931272 40448536 44185629 58914172 60672804 70784938 73862544 80897072 88371258 103099801 106177407 117828344 121345608 141569876 176742516 206199602 212354814 235656688 242691216 283139752 309299403 338756489 353485032 412399204 424709628 566279504 618598806 677512978 706970064 824798408 849419256 1016269467 1237197612 1355025956 1649596816 1698838512 2032538934 2371295423 2474395224 2710051912 4065077868 4742590846 4948790448 5420103824 7113886269 8130155736 9485181692 14227772538 16260311472 18970363384 28455545076 37940726768 56911090152 113822180304