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12213310101102 = 23211414333474533
BaseRepresentation
bin1011000110111010001000…
…0000101001011001101110
31121020120200120122222111100
42301232202000221121232
53100100324341213402
641550414525503530
72400245131654005
oct261564200513156
947216616588440
1012213310101102
1139896aa173a60
121453030a11ba6
136a7930407116
143031ad6abc3c
15162a69b4d71c
hexb1ba202966e

12213310101102 has 96 divisors (see below), whose sum is σ = 29640221091936. Its totient is φ = 3602394777600.

The previous prime is 12213310101077. The next prime is 12213310101151. The reversal of 12213310101102 is 20110101331221.

12213310101102 is a `hidden beast` number, since 1 + 221 + 331 + 0 + 1 + 0 + 110 + 2 = 666.

It is a super-2 number, since 2×122133101011022 (a number of 27 digits) contains 22 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, 1777828 + ... + 5252360.

It is an arithmetic number, because the mean of its divisors is an integer number (308752303041).

Almost surely, 212213310101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213310101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820110545968).

12213310101102 is an abundant number, since it is smaller than the sum of its proper divisors (17426910990834).

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

12213310101102 is a wasteful number, since it uses less digits than its factorization.

12213310101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475026 (or 3475023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12213310101102 its reverse (20110101331221), we get a palindrome (32323411432323).

The spelling of 12213310101102 in words is "twelve trillion, two hundred thirteen billion, three hundred ten million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 433 451 738 866 902 1299 1353 2598 2706 3897 4059 4763 7794 8118 9526 14289 17753 28578 35506 42867 53259 85734 106518 159777 195283 319554 390566 585849 1171698 1757547 3474533 3515094 6949066 10423599 20847198 31270797 38219863 62541594 76439726 114659589 142455853 229319178 284911706 343978767 427367559 687957534 854735118 1282102677 1504472789 1567014383 2564205354 3008945578 3134028766 4513418367 4701043149 9026836734 9402086298 13540255101 14103129447 16549200679 27080510202 28206258894 33098401358 49647602037 61683384349 99295204074 123366768698 148942806111 185050153047 297885612222 370100306094 555150459141 678517227839 1110300918282 1357034455678 2035551683517 4071103367034 6106655050551 12213310101102