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1102002210012 = 22311127239275047
BaseRepresentation
bin10000000010010100011…
…100110100010011011100
310220100110102120120112010
4100002110130310103130
5121023400031210022
62202130335511220
7142421433142344
oct20022434642334
93810412516463
101102002210012
113953a1578010
121596aa388510
137cbc2847522
143b4a1379d24
151d9eb64d50c
hex100947344dc

1102002210012 has 96 divisors (see below), whose sum is σ = 2839023452160. Its totient is φ = 329923177920.

The previous prime is 1102002210007. The next prime is 1102002210019. The reversal of 1102002210012 is 2100122002011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1102002210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102002210019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3869073 + ... + 4144119.

It is an arithmetic number, because the mean of its divisors is an integer number (29573160960).

Almost surely, 21102002210012 is an apocalyptic number.

1102002210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102002210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419511726080).

1102002210012 is an abundant number, since it is smaller than the sum of its proper divisors (1737021242148).

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

1102002210012 is a wasteful number, since it uses less digits than its factorization.

1102002210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275431 (or 275429 counting only the distinct ones).

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

Adding to 1102002210012 its reverse (2100122002011), we get a palindrome (3202124212023).

The spelling of 1102002210012 in words is "one trillion, one hundred two billion, two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 239 254 381 478 508 717 762 956 1397 1434 1524 2629 2794 2868 4191 5258 5588 7887 8382 10516 15774 16764 30353 31548 60706 91059 121412 182118 275047 333883 364236 550094 667766 825141 1001649 1100188 1335532 1650282 2003298 3025517 3300564 4006596 6051034 9076551 12102068 18153102 34930969 36306204 65736233 69861938 104792907 131472466 139723876 197208699 209585814 262944932 384240659 394417398 419171628 723098563 768481318 788834796 1152721977 1446197126 1536962636 2169295689 2305443954 2892394252 4338591378 4610887908 8348501591 8677182756 16697003182 25045504773 33394006364 50091009546 91833517501 100182019092 183667035002 275500552503 367334070004 551001105006 1102002210012