Search a number
-
+
11101202120112 = 24313231225363127
BaseRepresentation
bin1010000110001011001100…
…1101010111110110110000
31110022021010212022001100020
42201202303031113312300
52423340230220320422
635335453304123440
72224015065050226
oct241426315276660
943267125261306
1011101202120112
11359aaa2209705
1212b35a2166580
13626ab9cbac70
142a5430118b16
15143b7b1ec95c
hexa18b3357db0

11101202120112 has 160 divisors (see below), whose sum is σ = 32230041811968. Its totient is φ = 3266925032448.

The previous prime is 11101202120101. The next prime is 11101202120131. The reversal of 11101202120112 is 21102120210111.

It is a happy number.

11101202120112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11101202120091 and 11101202120100.

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, 175823493 + ... + 175886619.

Almost surely, 211101202120112 is an apocalyptic number.

11101202120112 is a gapful number since it is divisible by the number (12) 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 11101202120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115020905984).

11101202120112 is an abundant number, since it is smaller than the sum of its proper divisors (21128839691856).

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

11101202120112 is a wasteful number, since it uses less digits than its factorization.

11101202120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75427 (or 75421 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11101202120112 its reverse (21102120210111), we get a palindrome (32203322330223).

The spelling of 11101202120112 in words is "eleven trillion, one hundred one billion, two hundred two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 12253 14352 24506 36759 49012 63127 73518 98024 126254 147036 159289 189381 196048 252508 281819 294072 318578 378762 477867 505016 563638 588144 637156 757524 820651 845457 955734 1010032 1127276 1274312 1451921 1515048 1641302 1690914 1911468 2254552 2461953 2548624 2903842 3030096 3282604 3381828 3663647 3822936 4355763 4509104 4923906 5807684 6565208 6763656 7327294 7645872 8711526 9847812 10990941 11615368 13130416 13527312 14654588 17423052 18874973 19695624 21981882 23230736 29309176 34846104 37749946 39391248 43963764 56624919 58618352 69692208 75499892 87927528 113249838 150999784 175855056 226499676 301999568 452999352 773495131 905998704 1546990262 2320485393 3093980524 4640970786 6187961048 9281941572 10055436703 12375922096 17790388013 18563883144 20110873406 30166310109 35580776026 37127766288 40221746812 53371164039 60332620218 71161552052 80443493624 106742328078 120665240436 142323104104 160886987248 213484656156 231275044169 241330480872 284646208208 426969312312 462550088338 482660961744 693825132507 853938624624 925100176676 1387650265014 1850200353352 2775300530028 3700400706704 5550601060056 11101202120112