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1102011212120 = 2357131583191251
BaseRepresentation
bin10000000010010100111…
…111001010000101011000
310220100111001111221002112
4100002110333022011120
5121023404332241440
62202131300451452
7142421602514510
oct20022477120530
93810431457075
101102011212120
113953a6666475
121596b13a9b88
137cbc4679b10
143b4a2640840
151d9ec32a965
hex10094fca158

1102011212120 has 128 divisors (see below), whose sum is σ = 3053667133440. Its totient is φ = 348546240000.

The previous prime is 1102011212119. The next prime is 1102011212123. The reversal of 1102011212120 is 212121102011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1102011212095 and 1102011212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102011212123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5666495 + ... + 5857745.

It is an arithmetic number, because the mean of its divisors is an integer number (23856774480).

Almost surely, 21102011212120 is an apocalyptic number.

1102011212120 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 1102011212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526833566720).

1102011212120 is an abundant number, since it is smaller than the sum of its proper divisors (1951655921320).

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

1102011212120 is a wasteful number, since it uses less digits than its factorization.

1102011212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192865 (or 192861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102011212120 its reverse (212121102011), we get a palindrome (1314132314131).

It can be divided in two parts, 1102011 and 212120, that added together give a palindrome (1314131).

The spelling of 1102011212120 in words is "one trillion, one hundred two billion, eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1583 1820 3166 3640 6332 7915 11081 12664 15830 20579 22162 31660 41158 44324 55405 63320 82316 88648 102895 110810 144053 164632 191251 205790 221620 288106 382502 411580 443240 576212 720265 765004 823160 956255 1152424 1338757 1440530 1530008 1912510 2486263 2677514 2881060 3825020 4972526 5355028 5762120 6693785 7650040 9945052 10710056 12431315 13387570 17403841 19890104 24862630 26775140 34807682 49725260 53550280 69615364 87019205 99450520 139230728 174038410 302750333 348076820 605500666 696153640 1211001332 1513751665 2119252331 2422002664 3027503330 3935754329 4238504662 6055006660 7871508658 8477009324 10596261655 12110013320 15743017316 16954018648 19678771645 21192523310 27550280303 31486034632 39357543290 42385046620 55100560606 78715086580 84770093240 110201121212 137751401515 157430173160 220402242424 275502803030 551005606060 1102011212120