Search a number
-
+
12101577228 = 22341317169007
BaseRepresentation
bin10110100010100111…
…10110101000001100
31011020101020211010000
423101103312220030
5144241000432403
65320454444300
7605613465156
oct132123665014
934211224100
1012101577228
1151500300a4
122418963690
1311ab20b1b0
1482b2ddad6
154ac6377a3
hex2d14f6a0c

12101577228 has 120 divisors (see below), whose sum is σ = 36073743552. Its totient is φ = 3504508416.

The previous prime is 12101577221. The next prime is 12101577253. The reversal of 12101577228 is 82277510121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12101577192 and 12101577201.

It is not an unprimeable number, because it can be changed into a prime (12101577221) 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, 12900 + ... + 156107.

Almost surely, 212101577228 is an apocalyptic number.

12101577228 is a gapful number since it is divisible by the number (18) 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 12101577228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036871776).

12101577228 is an abundant number, since it is smaller than the sum of its proper divisors (23972166324).

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

12101577228 is a wasteful number, since it uses less digits than its factorization.

12101577228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169053 (or 169042 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 12101577228 in words is "twelve billion, one hundred one million, five hundred seventy-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 442 459 468 612 663 702 884 918 1053 1326 1377 1404 1836 1989 2106 2652 2754 3978 4212 5508 5967 7956 11934 17901 23868 35802 71604 169007 338014 507021 676028 1014042 1521063 2028084 2197091 2873119 3042126 4394182 4563189 5746238 6084252 6591273 8619357 8788364 9126378 11492476 13182546 13689567 17238714 18252756 19773819 25858071 26365092 27379134 34477428 37350547 39547638 51716142 54758268 59321457 74701094 77574213 79095276 103432284 112051641 118642914 149402188 155148426 177964371 224103282 232722639 237285828 310296852 336154923 355928742 448206564 465445278 672309846 711857484 930890556 1008464769 1344619692 2016929538 3025394307 4033859076 6050788614 12101577228