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10997153730 = 234535338461
BaseRepresentation
bin10100011110111101…
…10011111111000010
31001101102002021220000
422033132303333002
5140010232404410
65015123100430
7536343156453
oct121736637702
931342067800
1010997153730
114733674402
12216ab11716
13106346bc74
1476476d12a
154456cadc0
hex28f7b3fc2

10997153730 has 80 divisors (see below), whose sum is σ = 29654663544. Its totient is φ = 2924190720.

The previous prime is 10997153729. The next prime is 10997153731. The reversal of 10997153730 is 3735179901.

10997153730 is a `hidden beast` number, since 10 + 9 + 9 + 71 + 537 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (10997153729) and next prime (10997153731).

It can be written as a sum of positive squares in 4 ways, for example, as 6550797969 + 4446355761 = 80937^2 + 66681^2 .

It is a super-2 number, since 2×109971537302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10997153731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266700 + ... + 305160.

Almost surely, 210997153730 is an apocalyptic number.

10997153730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10997153730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827331772).

10997153730 is an abundant number, since it is smaller than the sum of its proper divisors (18657509814).

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

10997153730 is a wasteful number, since it uses less digits than its factorization.

10997153730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38833 (or 38824 counting only the distinct ones).

The product of its (nonzero) digits is 178605, while the sum is 45.

The spelling of 10997153730 in words is "ten billion, nine hundred ninety-seven million, one hundred fifty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 353 405 706 810 1059 1765 2118 3177 3530 5295 6354 9531 10590 15885 19062 28593 31770 38461 47655 57186 76922 95310 115383 142965 192305 230766 285930 346149 384610 576915 692298 1038447 1153830 1730745 2076894 3115341 3461490 5192235 6230682 10384470 13576733 15576705 27153466 31153410 40730199 67883665 81460398 122190597 135767330 203650995 244381194 366571791 407301990 610952985 733143582 1099715373 1221905970 1832858955 2199430746 3665717910 5498576865 10997153730