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101106056524 = 2211219472231049
BaseRepresentation
bin101111000101001100…
…0111111110101001100
3100122222020212211120011
41132022120333311030
53124031122302044
6114240353403004
710206334205044
oct1361230776514
9318866784504
10101106056524
1139973807800
1217718269464
1396c3a01065
144c71cd8724
15296b3ba134
hex178a63fd4c

101106056524 has 144 divisors (see below), whose sum is σ = 210212352000. Its totient is φ = 42380616960.

The previous prime is 101106056423. The next prime is 101106056531. The reversal of 101106056524 is 425650601101.

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, 96382752 + ... + 96383800.

It is an arithmetic number, because the mean of its divisors is an integer number (1459808000).

Almost surely, 2101106056524 is an apocalyptic number.

It is an amenable number.

101106056524 is an abundant number, since it is smaller than the sum of its proper divisors (109106295476).

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

101106056524 is a wasteful number, since it uses less digits than its factorization.

101106056524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 101106056524 its reverse (425650601101), we get a palindrome (526756657625).

The spelling of 101106056524 in words is "one hundred one billion, one hundred six million, fifty-six thousand, five hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 47 76 94 121 188 209 223 242 418 446 484 517 836 892 893 1034 1049 1786 2068 2098 2299 2453 3572 4196 4237 4598 4906 5687 8474 9196 9812 9823 10481 11374 11539 16948 19646 19931 20962 22748 23078 26983 39292 39862 41924 46156 46607 49303 53966 79724 93214 98606 107932 108053 115291 126929 186428 197212 199139 216106 219241 230582 233927 253858 398278 432212 438482 461164 467854 507716 512677 542333 796556 876964 935708 936757 1025354 1084666 1268201 1873514 2050708 2169332 2190529 2411651 2536402 2573197 3747028 4381058 4444613 4823302 5072804 5146394 5965663 8762116 8889226 9646604 10292788 10304327 10994569 11931326 17778452 20608654 21989138 23862652 24095819 28305167 41217308 43978276 48191638 48890743 56610334 96383276 97781486 113220668 113347597 120940259 195562972 208896811 226695194 241880518 417793622 453390388 483761036 537798173 835587244 1075596346 1330342849 2151192692 2297864921 2660685698 4595729842 5321371396 9191459684 25276514131 50553028262 101106056524