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21110021000196 = 22317261831202269
BaseRepresentation
bin1001100110011000011110…
…10011011000110000000100
32202202002122122210211100220
410303030033103120300010
510231331310334001241
6112521450524304340
74306101666604302
oct463141723306004
982662578724326
1021110021000196
1167a9789576877
12244b31b3a20b0
13ba188821cc0b
1452da32593272
152691c0492166
hex13330f4d8c04

21110021000196 has 144 divisors (see below), whose sum is σ = 53823184887360. Its totient is φ = 6435692513280.

The previous prime is 21110021000149. The next prime is 21110021000209. The reversal of 21110021000196 is 69100012001112.

It is a happy number.

It is a super-2 number, since 2×211100210001962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16957350 + ... + 18159618.

Almost surely, 221110021000196 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 21110021000196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26911592443680).

21110021000196 is an abundant number, since it is smaller than the sum of its proper divisors (32713163887164).

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

21110021000196 is a wasteful number, since it uses less digits than its factorization.

21110021000196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202454 (or 1202435 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 21110021000196 in words is "twenty-one trillion, one hundred ten billion, twenty-one million, one hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17 34 51 61 68 83 102 122 166 183 204 244 249 289 332 366 498 578 732 867 996 1037 1156 1411 1734 2074 2822 3111 3468 4148 4233 5063 5644 6222 8466 10126 12444 15189 16932 17629 20252 23987 30378 35258 47974 52887 60756 70516 71961 86071 95948 105774 143922 172142 211548 258213 287844 344284 516426 1032852 1202269 1463207 2404538 2926414 3606807 4389621 4809076 5852828 7213614 8779242 14427228 17558484 20438573 40877146 61315719 73338409 81754292 99788327 122631438 146676818 199576654 220015227 245262876 293353636 299364981 347455741 399153308 440030454 598729962 694911482 880060908 1042367223 1197459924 1246752953 1389822964 1696401559 2084734446 2493505906 3392803118 3740258859 4169468892 4987011812 5089204677 6087087947 6785606236 7480517718 10178409354 12174175894 14961035436 18261263841 20356818708 21194800201 24348351788 28838826503 36522527682 42389600402 57677653006 63584400603 73045055364 84779200804 86516479509 103480495099 115355306012 127168801206 173032959018 206960990198 254337602412 310441485297 346065918036 413921980396 620882970594 1241765941188 1759168416683 3518336833366 5277505250049 7036673666732 10555010500098 21110021000196