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1012100200110 = 2325109114337193
BaseRepresentation
bin11101011101001011101…
…11110111011010101110
310120202102000002021112200
432232211313313122232
5113040240122400420
62052541415442330
7133056533520246
oct16564567673256
93522360067480
101012100200110
113602581a537a
1214419a3863a6
1374596113c6c
1436db34a8b26
151b4d8bcab90
hexeba5df76ae

1012100200110 has 96 divisors (see below), whose sum is σ = 2636076931488. Its totient is φ = 269420375040.

The previous prime is 1012100200109. The next prime is 1012100200127. The reversal of 1012100200110 is 110020012101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012100200092 and 1012100200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140702674 + ... + 140709866.

It is an arithmetic number, because the mean of its divisors is an integer number (27459134703).

Almost surely, 21012100200110 is an apocalyptic number.

1012100200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012100200110 is an abundant number, since it is smaller than the sum of its proper divisors (1623976731378).

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

1012100200110 is a wasteful number, since it uses less digits than its factorization.

1012100200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9730 (or 9727 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012100200110 its reverse (110020012101), we get a palindrome (1122120212211).

The spelling of 1012100200110 in words is "one trillion, twelve billion, one hundred million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1091 1433 2182 2866 3273 4299 5455 6546 7165 7193 8598 9819 10910 12897 14330 14386 16365 19638 21495 21579 25794 32730 35965 42990 43158 49095 64485 64737 71930 98190 107895 128970 129474 215790 323685 647370 1563403 3126806 4690209 7817015 7847563 9380418 10307569 14070627 15634030 15695126 20615138 23451045 23542689 28141254 30922707 39237815 46902090 47085378 51537845 61845414 70353135 70628067 78475630 92768121 103075690 117713445 140706270 141256134 154613535 185536242 235426890 309227070 353140335 463840605 706280670 927681210 11245557779 22491115558 33736673337 56227788895 67473346674 101210020011 112455577790 168683366685 202420040022 337366733370 506050100055 1012100200110