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100123011120 = 24351137925383
BaseRepresentation
bin101110100111111001…
…0111110100000110000
3100120102202002221210010
41131033302332200300
53120022442323440
6113555035334520
710143066360336
oct1351762764060
9316382087703
10100123011120
1139509914190
12174a2bb1440
13959814c0a2
144bbb521b56
15290ee37580
hex174fcbe830

100123011120 has 80 divisors (see below), whose sum is σ = 338597828352. Its totient is φ = 24272244480.

The previous prime is 100123011103. The next prime is 100123011133. The reversal of 100123011120 is 21110321001.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 100123011096 and 100123011105.

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, 18960052 + ... + 18965331.

Almost surely, 2100123011120 is an apocalyptic number.

100123011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100123011120 is an abundant number, since it is smaller than the sum of its proper divisors (238474817232).

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

100123011120 is a wasteful number, since it uses less digits than its factorization.

100123011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37925410 (or 37925404 counting only the distinct ones).

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

Adding to 100123011120 its reverse (21110321001), we get a palindrome (121233332121).

The spelling of 100123011120 in words is "one hundred billion, one hundred twenty-three million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 37925383 75850766 113776149 151701532 189626915 227552298 303403064 379253830 417179213 455104596 568880745 606806128 758507660 834358426 910209192 1137761490 1251537639 1517015320 1668716852 1820418384 2085896065 2275522980 2503075278 3034030640 3337433704 4171792130 4551045960 5006150556 6257688195 6674867408 8343584260 9102091920 10012301112 12515376390 16687168520 20024602224 25030752780 33374337040 50061505560 100123011120