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221120222211112 = 23761112960919413
BaseRepresentation
bin110010010001101110010000…
…010011000010110000101000
31001222220212221110211002112211
4302101232100103002300220
5212440313203341223422
62102141121105214504
764401260145123610
oct6221562023026050
91058825843732484
10221120222211112
1164501617933944
12209726b7031434
13964c716a88773
143c863c0d55a40
151a86c9edd7577
hexc91b904c2c28

221120222211112 has 128 divisors (see below), whose sum is σ = 482153659833600. Its totient is φ = 93104528025600.

The previous prime is 221120222211061. The next prime is 221120222211127. The reversal of 221120222211112 is 211112222021122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23490935718 + ... + 23490945130.

It is an arithmetic number, because the mean of its divisors is an integer number (3766825467450).

Almost surely, 2221120222211112 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 221120222211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241076829916800).

221120222211112 is an abundant number, since it is smaller than the sum of its proper divisors (261033437622488).

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

221120222211112 is a wasteful number, since it uses less digits than its factorization.

221120222211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16707 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 221120222211112 its reverse (211112222021122), we get a palindrome (432232444232234).

The spelling of 221120222211112 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1129 1708 2258 3416 4516 6091 7903 9032 9413 12182 15806 18826 24364 31612 37652 42637 48728 63224 65891 68869 75304 85274 131782 137738 170548 263564 275476 341096 371551 482083 527128 550952 574193 743102 964166 1148386 1486204 1928332 2296772 2600857 2972408 3856664 4019351 4593544 5201714 6876739 8038702 10403428 10627277 13753478 16077404 20806856 21254554 27506956 32154808 42509108 48137173 55013912 57334583 74390939 85018216 96274346 114669166 148781878 192548692 229338332 297563756 385097384 401342081 419481079 458676664 595127512 648263897 802684162 838962158 1296527794 1605368324 1677924316 2593055588 2936367553 3210736648 3355848632 3497409563 4537847279 5186111176 5872735106 6994819126 9075694558 11745470212 13989638252 18151389116 23490940424 24481866941 27979276504 36302778232 48963733882 64730744207 97927467764 129461488414 195854935528 258922976828 453115209449 517845953656 906230418898 1812460837796 3624921675592 3948575396627 7897150793254 15794301586508 27640027776389 31588603173016 55280055552778 110560111105556 221120222211112