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221012210211040 = 2553144558913349
BaseRepresentation
bin110010010000001001101010…
…010001111101100011100000
31001222112120010221011222101201
4302100021222101331203200
5212432031001303223130
62102015335133210544
764360414413225403
oct6220115221754340
91058476127158351
10221012210211040
116446a82a984586
1220955792030a54
1396424923c3ba1
143c81095bc5d3a
151a8407c5d1bca
hexc9026a47d8e0

221012210211040 has 48 divisors (see below), whose sum is σ = 538984615881600. Its totient is φ = 85553113628160.

The previous prime is 221012210210993. The next prime is 221012210211041. The reversal of 221012210211040 is 40112012210122.

It is a junction number, because it is equal to n+sod(n) for n = 221012210210999 and 221012210211017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012210211041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22279451715 + ... + 22279461634.

It is an arithmetic number, because the mean of its divisors is an integer number (11228846164200).

Almost surely, 2221012210211040 is an apocalyptic number.

221012210211040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012210211040 is an abundant number, since it is smaller than the sum of its proper divisors (317972405670560).

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

221012210211040 is a wasteful number, since it uses less digits than its factorization.

221012210211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44558913395 (or 44558913387 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221012210211040 its reverse (40112012210122), we get a palindrome (261124222421162).

The spelling of 221012210211040 in words is "two hundred twenty-one trillion, twelve billion, two hundred ten million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 44558913349 89117826698 178235653396 222794566745 356471306792 445589133490 712942613584 891178266980 1381326313819 1425885227168 1782356533960 2762652627638 3564713067920 5525305255276 6906631569095 7129426135840 11050610510552 13813263138190 22101221021104 27626526276380 44202442042208 55253052552760 110506105105520 221012210211040