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1100122112122 = 2112223241251337
BaseRepresentation
bin10000000000100100011…
…000110100000001111010
310220011121101211201001221
4100000210120310001322
5121011022230041442
62201220014502254
7142324023443365
oct20004430640172
93804541751057
101100122112122
11394617285700
1215926480498a
137c983191677
143b3637b30dc
151d93b572467
hex1002463407a

1100122112122 has 96 divisors (see below), whose sum is σ = 1842271022592. Its totient is φ = 492307200000.

The previous prime is 1100122112107. The next prime is 1100122112147. The reversal of 1100122112122 is 2212112210011.

It is a junction number, because it is equal to n+sod(n) for n = 1100122112096 and 1100122112105.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3264457138 + ... + 3264457474.

It is an arithmetic number, because the mean of its divisors is an integer number (19190323152).

Almost surely, 21100122112122 is an apocalyptic number.

1100122112122 is a deficient number, since it is larger than the sum of its proper divisors (742148910470).

1100122112122 is a wasteful number, since it uses less digits than its factorization.

1100122112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1100122112122 its reverse (2212112210011), we get a palindrome (3312234322133).

The spelling of 1100122112122 in words is "one trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 121 223 241 242 251 337 446 482 502 674 2453 2651 2761 3707 4906 5302 5522 7414 26983 29161 30371 40777 53743 53966 55973 58322 60491 60742 75151 81217 81554 84587 107486 111946 120982 150302 162434 169174 591173 615703 665401 826661 893387 930457 1182346 1231406 1330802 1653322 1786774 1860914 6502903 6772733 7319411 9093271 9827257 10235027 13005806 13489493 13545466 14638822 18111391 18186542 18862901 19654514 20385467 20470054 26978986 36222782 37725802 40770934 148384423 199225301 207491911 224240137 296768846 398450602 414983822 448480274 1632228653 2191478311 2282411021 2466641507 3264457306 4382956622 4545959141 4564822042 4933283014 9091918282 50005550551 100011101102 550061056061 1100122112122