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2110012031100 = 2235283103822713
BaseRepresentation
bin11110101101000110100…
…001001000000001111100
321110201022100220001220110
4132231012201020001330
5234032301034443400
64253154240350020
7305305031224431
oct36550641100174
97421270801813
102110012031100
1174393a869056
122a0b26915310
13123c863b446c
14741a74c5b88
1539d4619ee50
hex1eb4684807c

2110012031100 has 144 divisors (see below), whose sum is σ = 6238515209472. Its totient is φ = 550493053440.

The previous prime is 2110012031077. The next prime is 2110012031111. The reversal of 2110012031100 is 11302100112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2153344 + ... + 2976056.

It is an arithmetic number, because the mean of its divisors is an integer number (43323022288).

Almost surely, 22110012031100 is an apocalyptic number.

2110012031100 is a gapful number since it is divisible by the number (20) 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 2110012031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119257604736).

2110012031100 is an abundant number, since it is smaller than the sum of its proper divisors (4128503178372).

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

2110012031100 is a wasteful number, since it uses less digits than its factorization.

2110012031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822916 (or 822909 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2110012031100 its reverse (11302100112), we get a palindrome (2121314131212).

The spelling of 2110012031100 in words is "two trillion, one hundred ten billion, twelve million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 103 150 166 206 249 300 309 332 412 415 498 515 618 830 996 1030 1236 1245 1545 1660 2060 2075 2490 2575 3090 4150 4980 5150 6180 6225 7725 8300 8549 10300 12450 15450 17098 24900 25647 30900 34196 42745 51294 85490 102588 128235 170980 213725 256470 427450 512940 641175 822713 854900 1282350 1645426 2468139 2564700 3290852 4113565 4936278 8227130 9872556 12340695 16454260 20567825 24681390 41135650 49362780 61703475 68285179 82271300 84739439 123406950 136570358 169478878 204855537 246813900 254218317 273140716 338957756 341425895 409711074 423697195 508436634 682851790 819422148 847394390 1016873268 1024277685 1271091585 1365703580 1694788780 1707129475 2048555370 2118485975 2542183170 3414258950 4097110740 4236971950 5084366340 5121388425 6355457925 6828517900 7033373437 8473943900 10242776850 12710915850 14066746874 20485553700 21100120311 25421831700 28133493748 35166867185 42200240622 70333734370 84400481244 105500601555 140667468740 175834335925 211001203110 351668671850 422002406220 527503007775 703337343700 1055006015550 2110012031100