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1102022210112 = 26331487138011
BaseRepresentation
bin10000000010010101101…
…001000111001001000000
310220100111211012200111120
4100002111221013021000
5121023420141210422
62202132332312240
7142422065141565
oct20022551071100
93810454180446
101102022210112
1139540189841a
121596b5012680
137cbc6a2a9c5
143b4a3ca486c
151d9ed29e45c
hex10095a47240

1102022210112 has 112 divisors (see below), whose sum is σ = 3010521206784. Its totient is φ = 355408704000.

The previous prime is 1102022210041. The next prime is 1102022210119. The reversal of 1102022210112 is 2110122202011.

It is a junction number, because it is equal to n+sod(n) for n = 1102022210091 and 1102022210100.

It is not an unprimeable number, because it can be changed into a prime (1102022210119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28973187 + ... + 29011197.

It is an arithmetic number, because the mean of its divisors is an integer number (26879653632).

Almost surely, 21102022210112 is an apocalyptic number.

1102022210112 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 1102022210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505260603392).

1102022210112 is an abundant number, since it is smaller than the sum of its proper divisors (1908498996672).

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

1102022210112 is a wasteful number, since it uses less digits than its factorization.

1102022210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42928 (or 42918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1102022210112 its reverse (2110122202011), we get a palindrome (3212144412123).

The spelling of 1102022210112 in words is "one trillion, one hundred two billion, twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 4871 5952 9742 14613 19484 29226 38011 38968 58452 76022 77936 114033 116904 151001 152044 155872 228066 233808 302002 304088 311744 453003 456132 467616 604004 608176 906006 912264 935232 1178341 1208008 1216352 1812012 1824528 2356682 2416016 2432704 3535023 3624024 3649056 4713364 4832032 7070046 7248048 7298112 9426728 9664064 14140092 14496096 18853456 28280184 28992192 37706912 56560368 75413824 113120736 185151581 226241472 370303162 555454743 740606324 1110909486 1481212648 2221818972 2962425296 4443637944 5739699011 5924850592 8887275888 11479398022 11849701184 17219097033 17774551776 22958796044 34438194066 35549103552 45917592088 68876388132 91835184176 137752776264 183670368352 275505552528 367340736704 551011105056 1102022210112