Search a number
-
+
106033533510 = 235191511123113
BaseRepresentation
bin110001011000000010…
…1110101001001000110
3101010200122210121020210
41202300011311021012
53214124041033020
6120413334340250
710442416110132
oct1426005651106
9333618717223
10106033533510
1140a72190133
12186724ba686
139cca819908
1451bc4bc3c2
152b58c983e0
hex18b0175246

106033533510 has 64 divisors (see below), whose sum is σ = 268053649920. Its totient is φ = 26769473280.

The previous prime is 106033533493. The next prime is 106033533523. The reversal of 106033533510 is 15335330601.

It is a super-2 number, since 2×1060335335102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799714 + ... + 922826.

It is an arithmetic number, because the mean of its divisors is an integer number (4188338280).

Almost surely, 2106033533510 is an apocalyptic number.

106033533510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106033533510 is an abundant number, since it is smaller than the sum of its proper divisors (162020116410).

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

106033533510 is a wasteful number, since it uses less digits than its factorization.

106033533510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124653.

The product of its (nonzero) digits is 12150, while the sum is 30.

The spelling of 106033533510 in words is "one hundred six billion, thirty-three million, five hundred thirty-three thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1511 3022 4533 7555 9066 15110 22665 28709 45330 57418 86127 123113 143545 172254 246226 287090 369339 430635 615565 738678 861270 1231130 1846695 2339147 3693390 4678294 7017441 11695735 14034882 23391470 35087205 70174410 186023743 372047486 558071229 930118715 1116142458 1860237430 2790356145 3534451117 5580712290 7068902234 10603353351 17672255585 21206706702 35344511170 53016766755 106033533510