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113003122320 = 243251114268071
BaseRepresentation
bin110100100111110000…
…0101100111010010000
3101210200101022101201200
41221033200230322100
53322412244403240
6123525105031200
711110215456054
oct1511740547220
9353611271650
10113003122320
1143a19353390
1219a98625500
13a86b73566a
14567dd9dc64
152e15aa6930
hex1a4f82ce90

113003122320 has 120 divisors (see below), whose sum is σ = 414002377152. Its totient is φ = 27394694400.

The previous prime is 113003122289. The next prime is 113003122343. The reversal of 113003122320 is 23221300311.

113003122320 is a `hidden beast` number, since 1 + 1 + 30 + 0 + 312 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113003122293 and 113003122302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7126116 + ... + 7141955.

Almost surely, 2113003122320 is an apocalyptic number.

113003122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113003122320 is an abundant number, since it is smaller than the sum of its proper divisors (300999254832).

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

113003122320 is a wasteful number, since it uses less digits than its factorization.

113003122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268101 (or 14268092 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113003122320 its reverse (23221300311), we get a palindrome (136224422631).

The spelling of 113003122320 in words is "one hundred thirteen billion, three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 14268071 28536142 42804213 57072284 71340355 85608426 114144568 128412639 142680710 156948781 171216852 214021065 228289136 256825278 285361420 313897562 342433704 428042130 470846343 513650556 570722840 627795124 642063195 684867408 784743905 856084260 941692686 1027301112 1141445680 1255590248 1284126390 1412539029 1569487810 1712168520 1883385372 2054602224 2354231715 2511180496 2568252780 2825078058 3138975620 3424337040 3766770744 4708463430 5136505560 5650156116 6277951240 7062695145 7533541488 9416926860 10273011120 11300312232 12555902480 14125390290 18833853720 22600624464 28250780580 37667707440 56501561160 113003122320