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1201120893 = 34715114029
BaseRepresentation
bin100011110010111…
…1010011001111101
310002201010021010000
41013211322121331
54424441332033
6315104104513
741523234120
oct10745723175
93081107100
101201120893
115670019a5
12296305139
13161ac772b
14b57423b7
15706aca13
hex4797a67d

1201120893 has 40 divisors (see below), whose sum is σ = 2064318080. Its totient is φ = 681760800.

The previous prime is 1201120889. The next prime is 1201120919. The reversal of 1201120893 is 3980211021.

It is not a de Polignac number, because 1201120893 - 22 = 1201120889 is a prime.

It is a super-2 number, since 2×12011208932 = 2885382799202234898, which contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201120693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78603 + ... + 92631.

It is an arithmetic number, because the mean of its divisors is an integer number (51607952).

Almost surely, 21201120893 is an apocalyptic number.

It is an amenable number.

1201120893 is a deficient number, since it is larger than the sum of its proper divisors (863197187).

1201120893 is a wasteful number, since it uses less digits than its factorization.

1201120893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14199 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1201120893 is about 34657.1910719839. The cubic root of 1201120893 is about 1062.9893347037.

The spelling of 1201120893 in words is "one billion, two hundred one million, one hundred twenty thousand, eight hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 81 151 189 453 567 1057 1359 3171 4077 9513 12231 14029 28539 42087 85617 98203 126261 294609 378783 883827 1136349 2118379 2651481 6355137 7954443 14828653 19065411 44485959 57196233 133457877 171588699 400373631 1201120893