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21212101311102 = 23213283652149121
BaseRepresentation
bin1001101001010110100111…
…10000110111101001111110
32210002212010210220220200200
410310223103300313221332
510240014340413423402
6113040412123504330
74316344434124212
oct464532360675176
983085123826620
1021212101311102
116839002212289
1224670699880a6
13bab3a5a15750
14534957a16942
1526bb9715521c
hex134ad3c37a7e

21212101311102 has 96 divisors (see below), whose sum is σ = 49678424935776. Its totient is φ = 6502607769600.

The previous prime is 21212101311091. The next prime is 21212101311119. The reversal of 21212101311102 is 20111310121212.

It is a happy number.

21212101311102 is a `hidden beast` number, since 21 + 21 + 210 + 1 + 311 + 102 = 666.

It is a super-3 number, since 3×212121013111023 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 431809102 + ... + 431858222.

It is an arithmetic number, because the mean of its divisors is an integer number (517483593081).

Almost surely, 221212101311102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212101311102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24839212467888).

21212101311102 is an abundant number, since it is smaller than the sum of its proper divisors (28466323624674).

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

21212101311102 is a wasteful number, since it uses less digits than its factorization.

21212101311102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55946 (or 55943 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21212101311102 its reverse (20111310121212), we get a palindrome (41323411432314).

The spelling of 21212101311102 in words is "twenty-one trillion, two hundred twelve billion, one hundred one million, three hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 283 566 849 1698 2547 3679 5094 6521 7358 11037 13042 19563 22074 33111 39126 49121 58689 66222 84773 98242 117378 147363 169546 254319 294726 442089 508638 638573 762957 884178 1277146 1525914 1845443 1915719 3690886 3831438 5536329 5747157 11072658 11494314 13901243 16608987 23990759 27802486 33217974 41703729 47981518 71972277 83407458 125111187 143944554 180716159 215916831 250222374 320318041 361432318 431833662 542148477 640636082 960954123 1084296954 1626445431 1921908246 2882862369 3252890862 4164134533 5765724738 8328269066 12492403599 24984807198 37477210797 74954421594 90650005603 181300011206 271950016809 543900033618 815850050427 1178450072839 1631700100854 2356900145678 3535350218517 7070700437034 10606050655551 21212101311102