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111314221000 = 23534110126881
BaseRepresentation
bin110011110101011011…
…0000011011111001000
3101122022200100022122221
41213222312003133020
53310432420033000
6123045334023424
711020320160363
oct1475266033710
9348280308587
10111314221000
1143231a80874
12196a6aa7b74
13a65c873a78
14555d9670da
152d6769661a
hex19ead837c8

111314221000 has 128 divisors (see below), whose sum is σ = 269480221920. Its totient is φ = 43008000000.

The previous prime is 111314220991. The next prime is 111314221003. The reversal of 111314221000 is 122413111.

It can be written as a sum of positive squares in 16 ways, for example, as 343954116 + 110970266884 = 18546^2 + 333122^2 .

It is not an unprimeable number, because it can be changed into a prime (111314221003) 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, 4127560 + ... + 4154440.

Almost surely, 2111314221000 is an apocalyptic number.

111314221000 is a gapful number since it is divisible by the number (10) 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 111314221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134740110960).

111314221000 is an abundant number, since it is smaller than the sum of its proper divisors (158166000920).

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

111314221000 is a wasteful number, since it uses less digits than its factorization.

111314221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27044 (or 27030 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 111314221000 its reverse (122413111), we get a palindrome (111436634111).

The spelling of 111314221000 in words is "one hundred eleven billion, three hundred fourteen million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 101 125 164 200 202 205 250 328 404 410 500 505 808 820 1000 1010 1025 1640 2020 2050 2525 4040 4100 4141 5050 5125 8200 8282 10100 10250 12625 16564 20200 20500 20705 25250 26881 33128 41000 41410 50500 53762 82820 101000 103525 107524 134405 165640 207050 215048 268810 414100 517625 537620 672025 828200 1035250 1075240 1102121 1344050 2070500 2204242 2688100 2714981 3360125 4141000 4408484 5376200 5429962 5510605 6720250 8816968 10859924 11021210 13440500 13574905 21719848 22042420 26881000 27149810 27553025 44084840 54299620 55106050 67874525 108599240 110212100 111314221 135749050 137765125 220424200 222628442 271498100 275530250 339372625 445256884 542996200 551060500 556571105 678745250 890513768 1102121000 1113142210 1357490500 2226284420 2714981000 2782855525 4452568840 5565711050 11131422100 13914277625 22262844200 27828555250 55657110500 111314221000