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221011000102112 = 25112887645133713
BaseRepresentation
bin110010010000001000100010…
…001001110000110011100000
31001222112110000121011002000112
4302100020202021300303200
5212432021012011231422
62102015015104310452
764360342420405133
oct6220104211606340
91058473017132015
10221011000102112
116446a2698a3860
12209554b4912428
13964232b7a03bc
143c80dbd1c421a
151a8400b24aee2
hexc90222270ce0

221011000102112 has 96 divisors (see below), whose sum is σ = 474923462678784. Its totient is φ = 100406202624000.

The previous prime is 221011000102111. The next prime is 221011000102121. The reversal of 221011000102112 is 211201000110122.

It is a super-2 number, since 2×2210110001021122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011000102111) 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, 6555644168 + ... + 6555677880.

It is an arithmetic number, because the mean of its divisors is an integer number (4947119402904).

Almost surely, 2221011000102112 is an apocalyptic number.

221011000102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221011000102112 is an abundant number, since it is smaller than the sum of its proper divisors (253912462576672).

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

221011000102112 is a wasteful number, since it uses less digits than its factorization.

221011000102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43072 (or 43064 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221011000102112 its reverse (211201000110122), we get a palindrome (432212000212234).

The spelling of 221011000102112 in words is "two hundred twenty-one trillion, eleven billion, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 2887 5774 6451 11548 12902 23096 25804 31757 33713 46192 51608 63514 67426 70961 92384 103216 127028 134852 141922 206432 254056 269704 283844 370843 508112 539408 567688 741686 1016224 1078816 1135376 1483372 2270752 2966744 5933488 11866976 18624037 37248074 74496148 97329431 148992296 194658862 204864407 217482563 297984592 389317724 409728814 434965126 595969184 778635448 819457628 869930252 1070623741 1557270896 1638915256 1739860504 2141247482 2392308193 3114541792 3277830512 3479721008 4282494964 4784616386 6555661024 6959442016 8564989928 9569232772 17129979856 19138465544 34259959712 38276931088 76553862176 627872159381 1255744318762 2511488637524 5022977275048 6906593753191 10045954550096 13813187506382 20091909100192 27626375012764 55252750025528 110505500051056 221011000102112