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106201134204 = 22311329229283
BaseRepresentation
bin110001011101000010…
…1001011010001111100
3101011010100011121011220
41202322011023101330
53214444442243304
6120442122513340
710446522513654
oct1427205132174
9334110147156
10106201134204
1141048854000
12186ba665850
13a02646bb19
1451d6869364
152b68852ad9
hex18ba14b47c

106201134204 has 96 divisors (see below), whose sum is σ = 281964291840. Its totient is φ = 31072296640.

The previous prime is 106201134203. The next prime is 106201134229. The reversal of 106201134204 is 402431102601.

It is a super-2 number, since 2×1062011342042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106201134203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348547 + ... + 577829.

It is an arithmetic number, because the mean of its divisors is an integer number (2937128040).

Almost surely, 2106201134204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106201134204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140982145920).

106201134204 is an abundant number, since it is smaller than the sum of its proper divisors (175763157636).

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

106201134204 is a wasteful number, since it uses less digits than its factorization.

106201134204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229352 (or 229328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 106201134204 its reverse (402431102601), we get a palindrome (508632236805).

The spelling of 106201134204 in words is "one hundred six billion, two hundred one million, one hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 957 1276 1331 1452 1914 2662 3509 3828 3993 5324 7018 7986 10527 14036 15972 21054 38599 42108 77198 115797 154396 229283 231594 458566 463188 687849 917132 1375698 2522113 2751396 5044226 6649207 7566339 10088452 13298414 15132678 19947621 26596828 27743243 30265356 39895242 55486486 73141277 79790484 83229729 110972972 146282554 166459458 219423831 292565108 305175673 332918916 438847662 610351346 804554047 877695324 915527019 1220702692 1609108094 1831054038 2413662141 3218216188 3662108076 4827324282 8850094517 9654648564 17700189034 26550283551 35400378068 53100567102 106201134204