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11345363400 = 2335272701277
BaseRepresentation
bin10101001000011110…
…01000000111001000
31002021200022011202110
422210033020013020
5141213403112100
65113442302320
7551101666140
oct124417100710
932250264673
1011345363400
1148a2186498
1222476579a0
1310ba6492a7
14798ad1920
1546605e250
hex2a43c81c8

11345363400 has 96 divisors (see below), whose sum is σ = 40195016640. Its totient is φ = 2593224960.

The previous prime is 11345363357. The next prime is 11345363411. The reversal of 11345363400 is 436354311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1346439 + ... + 1354838.

It is an arithmetic number, because the mean of its divisors is an integer number (418698090).

Almost surely, 211345363400 is an apocalyptic number.

11345363400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11345363400 is an abundant number, since it is smaller than the sum of its proper divisors (28849653240).

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

11345363400 is a wasteful number, since it uses less digits than its factorization.

11345363400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701303 (or 2701294 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 11345363400 in words is "eleven billion, three hundred forty-five million, three hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 2701277 5402554 8103831 10805108 13506385 16207662 18908939 21610216 27012770 32415324 37817878 40519155 54025540 56726817 64830648 67531925 75635756 81038310 94544695 108051080 113453634 135063850 151271512 162076620 189089390 202595775 226907268 270127700 283634085 324153240 378178780 405191550 453814536 472723475 540255400 567268170 756357560 810383100 945446950 1134536340 1418170425 1620766200 1890893900 2269072680 2836340850 3781787800 5672681700 11345363400