Search a number
-
+
101221022010012 = 223149131942919871
BaseRepresentation
bin10111000000111101011011…
…000011111000101010011100
3111021101122011001122101200120
4113000331123003320222130
5101231401123113310022
6555140143501554540
730214656200033232
oct2700753303705234
9437348131571616
10101221022010012
112a28565a109563
12b42938b575a50
134463141a80a18
141add1a325c952
15ba7eced03d5c
hex5c0f5b0f8a9c

101221022010012 has 48 divisors (see below), whose sum is σ = 237947770368000. Its totient is φ = 33488486086720.

The previous prime is 101221022009993. The next prime is 101221022010013. The reversal of 101221022010012 is 210010220122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221022009973 and 101221022010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221022010013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19101564 + ... + 23818307.

It is an arithmetic number, because the mean of its divisors is an integer number (4957245216000).

Almost surely, 2101221022010012 is an apocalyptic number.

101221022010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221022010012 is an abundant number, since it is smaller than the sum of its proper divisors (136726748357988).

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

101221022010012 is a wasteful number, since it uses less digits than its factorization.

101221022010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42921346 (or 42921344 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101221022010012 its reverse (210010220122101), we get a palindrome (311231242132113).

The spelling of 101221022010012 in words is "one hundred one trillion, two hundred twenty-one billion, twenty-two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 149 298 447 596 894 1319 1788 2638 3957 5276 7914 15828 196531 393062 589593 786124 1179186 2358372 42919871 85839742 128759613 171679484 257519226 515038452 6395060779 12790121558 19185182337 25580243116 38370364674 56611309849 76740729348 113222619698 169833929547 226445239396 339667859094 679335718188 8435085167501 16870170335002 25305255502503 33740340670004 50610511005006 101221022010012