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120101110202112 = 28313101161118913
BaseRepresentation
bin11011010011101100111000…
…000000101011111100000000
3120202020112221212110111011220
4123103230320000223330000
5111220214033202431422
61103233404403235040
734204006320546414
oct3323547000537400
9522215855414156
10120101110202112
11352a465a752616
1211578496978a80
135202641c4c930
142192cd3726d44
15dd418b08de5c
hex6d3b3802bf00

120101110202112 has 144 divisors (see below), whose sum is σ = 344238405993888. Its totient is φ = 36953511690240.

The previous prime is 120101110202077. The next prime is 120101110202131. The reversal of 120101110202112 is 211202011101021.

It is a happy number.

It is a super-2 number, since 2×1201011102021122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120101110202091 and 120101110202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009931968 + ... + 1010050880.

Almost surely, 2120101110202112 is an apocalyptic number.

120101110202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120101110202112 is an abundant number, since it is smaller than the sum of its proper divisors (224137295791776).

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

120101110202112 is a wasteful number, since it uses less digits than its factorization.

120101110202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220106 (or 220092 counting only the distinct ones).

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

Adding to 120101110202112 its reverse (211202011101021), we get a palindrome (331303121303133).

The spelling of 120101110202112 in words is "one hundred twenty trillion, one hundred one billion, one hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 101161 118913 202322 237826 303483 356739 404644 475652 606966 713478 809288 951304 1213932 1315093 1426956 1545869 1618576 1902608 2427864 2630186 2853912 3091738 3237152 3805216 3945279 4637607 4855728 5260372 5707824 6183476 6474304 7610432 7890558 9275214 9711456 10520744 11415648 12366952 12948608 15220864 15781116 18550428 19422912 21041488 22831296 24733904 25897216 30441728 31562232 37100856 38845824 42082976 45662592 49467808 63124464 74201712 77691648 84165952 91325184 98935616 126248928 148403424 168331904 197871232 252497856 296806848 336663808 395742464 504995712 593613696 1009991424 1187227392 12029357993 24058715986 36088073979 48117431972 72176147958 96234863944 144352295916 156381653909 192469727888 288704591832 312763307818 384939455776 469144961727 577409183664 625526615636 769878911552 938289923454 1154818367328 1251053231272 1539757823104 1876579846908 2309636734656 2502106462544 3079515646208 3753159693816 4619273469312 5004212925088 7506319387632 9238546938624 10008425850176 15012638775264 20016851700352 30025277550528 40033703400704 60050555101056 120101110202112