Search a number
-
+
161102520 = 23345192617
BaseRepresentation
bin10011001101000…
…11101010111000
3102020010212010000
421212203222320
5312220240040
623552553000
73664230435
oct1146435270
9366125100
10161102520
1182a35787
1245b52760
13274b8547
1417578b8c
15e224130
hex99a3ab8

161102520 has 160 divisors (see below), whose sum is σ = 570200400. Its totient is φ = 40684032.

The previous prime is 161102519. The next prime is 161102521. The reversal of 161102520 is 25201161.

161102520 is a `hidden beast` number, since 1 + 611 + 0 + 2 + 52 + 0 = 666.

161102520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161102519) and next prime (161102521).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 161102493 and 161102502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161102521) 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, 60252 + ... + 62868.

Almost surely, 2161102520 is an apocalyptic number.

161102520 is a gapful number since it is divisible by the number (10) 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 161102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285100200).

161102520 is an abundant number, since it is smaller than the sum of its proper divisors (409097880).

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

161102520 is a wasteful number, since it uses less digits than its factorization.

161102520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 161102520 is about 12692.6167514819. The cubic root of 161102520 is about 544.1276282871.

Adding to 161102520 its reverse (25201161), we get a palindrome (186303681).

The spelling of 161102520 in words is "one hundred sixty-one million, one hundred two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2565 2617 3078 3240 3420 4104 5130 5234 6156 6840 7695 7851 10260 10468 12312 13085 15390 15702 20520 20936 23553 26170 30780 31404 39255 47106 49723 52340 61560 62808 70659 78510 94212 99446 104680 117765 141318 149169 157020 188424 198892 211977 235530 248615 282636 298338 314040 353295 397784 423954 447507 471060 497230 565272 596676 706590 745845 847908 895014 942120 994460 1059885 1193352 1342521 1413180 1491690 1695816 1790028 1988920 2119770 2237535 2685042 2826360 2983380 3580056 4027563 4239540 4475070 5370084 5966760 6712605 8055126 8479080 8950140 10740168 13425210 16110252 17900280 20137815 26850420 32220504 40275630 53700840 80551260 161102520