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100112020021111 = 71723318338337117
BaseRepresentation
bin10110110000110100100101…
…011001000001111101110111
3111010110121121210202012200111
4112300310211121001331313
5101110213404111133421
6552530454352323451
730041566116462130
oct2660644531017567
9433417553665614
10100112020021111
11299982a642901a
12b28a468b43587
1343b26a4caa0c7
141aa163a3c2c87
15b89223dd1ee1
hex5b0d25641f77

100112020021111 has 128 divisors (see below), whose sum is σ = 132409391579136. Its totient is φ = 73663703562240.

The previous prime is 100112020021109. The next prime is 100112020021147. The reversal of 100112020021111 is 111120020211001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100112020021111 - 21 = 100112020021109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112020021091 and 100112020021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112020021171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2697182725 + ... + 2697219841.

It is an arithmetic number, because the mean of its divisors is an integer number (1034448371712).

Almost surely, 2100112020021111 is an apocalyptic number.

100112020021111 is a deficient number, since it is larger than the sum of its proper divisors (32297371558025).

100112020021111 is a wasteful number, since it uses less digits than its factorization.

100112020021111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37661.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112020021111 its reverse (111120020211001), we get a palindrome (211232040232112).

The spelling of 100112020021111 in words is "one hundred trillion, one hundred twelve billion, twenty million, twenty-one thousand, one hundred eleven".

Divisors: 1 7 17 23 31 83 119 161 217 383 391 527 581 713 1411 1909 2573 2681 2737 3689 4991 6511 8809 9877 11873 12121 13363 18011 31789 32453 37117 43741 45577 59179 61663 83111 84847 149753 201841 222523 227171 259819 273079 306187 414253 540413 630989 731147 853691 985459 1006043 1048271 1150627 1412887 1911553 3080711 3782891 4416923 4642343 5118029 5975837 6898213 7042301 8054389 12429499 14215811 14512747 16752803 19560659 21564977 22665557 26464421 32496401 52372087 70856353 87006493 95502041 99510677 101589229 117269621 136924613 158658899 185250947 241668787 326963653 366604609 385314469 440690141 449895157 495994471 668514287 1179912313 1204558001 1623534697 1691681509 2196546943 2288745571 2697201283 3084830987 3149266099 5558382101 7491732397 8259386191 8431906007 10135873243 11364742879 15375828601 20058509321 27137983199 36577281703 37341298031 38908674707 52442126779 70951112701 140409565247 172309845131 189965882393 256040971921 261389086217 461345714383 621813788951 841277479169 1206168915917 3229420000681 4352696522657 5888942354183 14301717145873 100112020021111