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2401020221112 = 2334291103115837
BaseRepresentation
bin100010111100000111111…
…101010001011010111000
322111112110020010211020000
4202330013331101122320
5303314242134033422
65035002524033000
7335316343066452
oct42740775213270
98445406124200
102401020221112
118462a3358427
12329400992760
1314555236c836
14842d23452d2
15426c924dcac
hex22f07f516b8

2401020221112 has 160 divisors (see below), whose sum is σ = 6963346526400. Its totient is φ = 772034893056.

The previous prime is 2401020221071. The next prime is 2401020221113. The reversal of 2401020221112 is 2111220201042.

2401020221112 is a `hidden beast` number, since 240 + 1 + 0 + 202 + 211 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401020221113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20669658 + ... + 20785494.

It is an arithmetic number, because the mean of its divisors is an integer number (43520915790).

Almost surely, 22401020221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401020221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481673263200).

2401020221112 is an abundant number, since it is smaller than the sum of its proper divisors (4562326305288).

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

2401020221112 is a wasteful number, since it uses less digits than its factorization.

2401020221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116987 (or 116974 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2401020221112 its reverse (2111220201042), we get a palindrome (4512240422154).

The spelling of 2401020221112 in words is "two trillion, four hundred one billion, twenty million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1103 1566 2088 2206 2349 3132 3309 4412 4698 6264 6618 8824 9396 9927 13236 18792 19854 26472 29781 31987 39708 59562 63974 79416 89343 95961 115837 119124 127948 178686 191922 231674 238248 255896 287883 347511 357372 383844 463348 575766 695022 714744 767688 863649 926696 1042533 1151532 1390044 1727298 2085066 2303064 2590947 2780088 3127599 3359273 3454596 4170132 5181894 6255198 6718546 6909192 8340264 9382797 10077819 10363788 12510396 13437092 18765594 20155638 20727576 25020792 26874184 30233457 37531188 40311276 60466914 75062376 80622552 90700371 120933828 127768211 181400742 241867656 255536422 272101113 362801484 383304633 511072844 544202226 725602968 766609266 1022145688 1088404452 1149913899 1533218532 2176808904 2299827798 3066437064 3449741697 3705278119 4599655596 6899483394 7410556238 9199311192 10349225091 11115834357 13798966788 14821112476 20698450182 22231668714 27597933576 29642224952 33347503071 41396900364 44463337428 66695006142 82793800728 88926674856 100042509213 133390012284 200085018426 266780024568 300127527639 400170036852 600255055278 800340073704 1200510110556 2401020221112