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11235701112 = 2332360733533
BaseRepresentation
bin10100111011011001…
…10011000101111000
31002000000221202101020
422131230303011320
5141002314413422
65054524022440
7545300612046
oct123554630570
932000852336
1011235701112
1148462955a9
122216991a20
1310a0a0186c
14788307396
1545b5eb95c
hex29db33178

11235701112 has 64 divisors (see below), whose sum is σ = 29359687680. Its totient is φ = 3576388992.

The previous prime is 11235701107. The next prime is 11235701153. The reversal of 11235701112 is 21110753211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 318298 + ... + 351830.

It is an arithmetic number, because the mean of its divisors is an integer number (458745120).

Almost surely, 211235701112 is an apocalyptic number.

11235701112 is a gapful number since it is divisible by the number (12) 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 11235701112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14679843840).

11235701112 is an abundant number, since it is smaller than the sum of its proper divisors (18123986568).

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

11235701112 is a wasteful number, since it uses less digits than its factorization.

11235701112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34172 (or 34168 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The spelling of 11235701112 in words is "eleven billion, two hundred thirty-five million, seven hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 607 1214 1821 2428 3642 4856 7284 13961 14568 27922 33533 41883 55844 67066 83766 100599 111688 134132 167532 201198 268264 335064 402396 771259 804792 1542518 2313777 3085036 4627554 6170072 9255108 18510216 20354531 40709062 61063593 81418124 122127186 162836248 244254372 468154213 488508744 936308426 1404462639 1872616852 2808925278 3745233704 5617850556 11235701112