Search a number
-
+
111122020102100 = 22527263941641441
BaseRepresentation
bin11001010001000010011100…
…100010001110111111010100
3112120110011100122022122012212
4121101002130202032333110
5104031110344121231400
61032200430140332552
732256205151155520
oct3121023442167724
9476404318278185
10111122020102100
1132452647447877
1210568237844158
134a009b9119437
141d62497adcd80
15cca813463335
hex65109c88efd4

111122020102100 has 144 divisors (see below), whose sum is σ = 276924859174656. Its totient is φ = 37913722368000.

The previous prime is 111122020102081. The next prime is 111122020102103. The reversal of 111122020102100 is 1201020221111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111122020102103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172917380 + ... + 173558820.

It is an arithmetic number, because the mean of its divisors is an integer number (1923089299824).

Almost surely, 2111122020102100 is an apocalyptic number.

111122020102100 is a gapful number since it is divisible by the number (10) 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 111122020102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138462429587328).

111122020102100 is an abundant number, since it is smaller than the sum of its proper divisors (165802839072556).

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

111122020102100 is a wasteful number, since it uses less digits than its factorization.

111122020102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642666 (or 642659 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111122020102100 its reverse (1201020221111), we get a palindrome (112323040323211).

The spelling of 111122020102100 in words is "one hundred eleven trillion, one hundred twenty-two billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 263 350 526 700 941 1052 1315 1841 1882 2630 3682 3764 4705 5260 6575 6587 7364 9205 9410 13150 13174 18410 18820 23525 26300 26348 32935 36820 46025 47050 65870 92050 94100 131740 164675 184100 247483 329350 494966 641441 658700 989932 1237415 1282882 1732381 2474830 2565764 3207205 3464762 4490087 4949660 6187075 6414410 6929524 8661905 8980174 12374150 12828820 16036025 17323810 17960348 22450435 24748300 32072050 34647620 43309525 44900870 64144100 86619050 89801740 112252175 168698983 173238100 224504350 337397966 449008700 603595981 674795932 843494915 1180892881 1207191962 1686989830 2361785762 2414383924 3017979905 3373979660 4217474575 4225171867 4723571524 5904464405 6035959810 8434949150 8450343734 11808928810 12071919620 15089899525 16869898300 16900687468 21125859335 23617857620 29522322025 30179799050 42251718670 59044644050 60359598100 84503437340 105629296675 118089288100 158745743003 211258593350 317491486006 422517186700 634982972012 793728715015 1111220201021 1587457430030 2222440402042 3174914860060 3968643575075 4444880804084 5556101005105 7937287150150 11112202010210 15874574300300 22224404020420 27780505025525 55561010051050 111122020102100