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11200509630 = 2335291430461
BaseRepresentation
bin10100110111001101…
…00011011010111110
31001220120201211202000
422123212203122332
5140414312302010
65051225443130
7544362522012
oct123346433276
931816654660
1011200509630
114828439732
1222070404a6
13109662c8bb
14783786542
154584997c0
hex29b9a36be

11200509630 has 64 divisors (see below), whose sum is σ = 30897979200. Its totient is φ = 2883807360.

The previous prime is 11200509613. The next prime is 11200509631. The reversal of 11200509630 is 3690500211.

11200509630 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 5 + 0 + 9 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11200509594 and 11200509603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200509631) 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, 707401 + ... + 723060.

It is an arithmetic number, because the mean of its divisors is an integer number (482780925).

Almost surely, 211200509630 is an apocalyptic number.

11200509630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11200509630 is an abundant number, since it is smaller than the sum of its proper divisors (19697469570).

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

11200509630 is a wasteful number, since it uses less digits than its factorization.

11200509630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430506 (or 1430500 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 11200509630 in words is "eleven billion, two hundred million, five hundred nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 1430461 2860922 4291383 7152305 8582766 12874149 14304610 21456915 25748298 38622447 41483369 42913830 64370745 77244894 82966738 124450107 128741490 193112235 207416845 248900214 373350321 386224470 414833690 622250535 746700642 1120050963 1244501070 1866751605 2240101926 3733503210 5600254815 11200509630