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100200012011022 = 23711795641486679
BaseRepresentation
bin10110110010000110100010…
…000111110101011000001110
3111010210000202010012102210210
4112302012202013311120032
5101113134111033323042
6553035130002143250
730051132464162640
oct2662064207653016
9433700663172723
10100200012011022
1129a2164a631440
12b2a3525351b26
1343baa88aac121
141aa59c673c890
15b8b673d17a9c
hex5b21a21f560e

100200012011022 has 128 divisors (see below), whose sum is σ = 253057403289600. Its totient is φ = 25691926291200.

The previous prime is 100200012011003. The next prime is 100200012011063. The reversal of 100200012011022 is 220110210002001.

It is a junction number, because it is equal to n+sod(n) for n = 100200012010989 and 100200012011007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205641879 + ... + 206128557.

It is an arithmetic number, because the mean of its divisors is an integer number (1977010963200).

Almost surely, 2100200012011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200012011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126528701644800).

100200012011022 is an abundant number, since it is smaller than the sum of its proper divisors (152857391278578).

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

100200012011022 is a wasteful number, since it uses less digits than its factorization.

100200012011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492422.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200012011022 its reverse (220110210002001), we get a palindrome (320310222013023).

The spelling of 100200012011022 in words is "one hundred trillion, two hundred billion, twelve million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2607 3318 5214 5641 6083 11282 12166 16923 18249 33846 36498 39487 62051 78974 118461 124102 186153 236922 372306 434357 445639 486679 868714 891278 973358 1303071 1336917 1460037 2606142 2673834 2920074 3119473 3406753 4902029 5353469 6238946 6813506 9358419 9804058 10220259 10706938 14706087 16060407 18716838 20440518 29412174 32120814 34314203 37474283 38447641 68628406 74948566 76895282 102942609 112422849 115342923 205885218 224845698 230685846 269133487 422924051 538266974 807400461 845848102 1268772153 1614800922 2537544306 2745356239 2960468357 5490712478 5920936714 8236068717 8881405071 16472137434 17762810142 19217493673 30198918629 38434987346 57652481019 60397837258 90596755887 115304962038 181193511774 211392430403 216883142881 422784860806 433766285762 634177291209 650649428643 1268354582418 1301298857286 1518182000167 2385714571691 3036364000334 4554546000501 4771429143382 7157143715073 9109092001002 14314287430146 16700002001837 33400004003674 50100006005511 100200012011022