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10111223100 = 22352113782811
BaseRepresentation
bin10010110101010110…
…10000010100111100
3222002200001100112110
421122223100110330
5131201433114400
64351154334020
7505364656356
oct113253202474
928080040473
1010111223100
114319581630
121b6228a310
13c51a60464
146bcc360d6
153e2a2ce50
hex25aad053c

10111223100 has 144 divisors (see below), whose sum is σ = 32777652096. Its totient is φ = 2384928000.

The previous prime is 10111222987. The next prime is 10111223107. The reversal of 10111223100 is 132211101.

It is a super-2 number, since 2×101112231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111223107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80695 + ... + 163505.

It is an arithmetic number, because the mean of its divisors is an integer number (227622584).

Almost surely, 210111223100 is an apocalyptic number.

10111223100 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 10111223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16388826048).

10111223100 is an abundant number, since it is smaller than the sum of its proper divisors (22666428996).

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

10111223100 is a wasteful number, since it uses less digits than its factorization.

10111223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82876 (or 82869 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10111223100 its reverse (132211101), we get a palindrome (10243434201).

The spelling of 10111223100 in words is "ten billion, one hundred eleven million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 82811 122100 165622 248433 331244 414055 496866 828110 910921 993732 1242165 1656220 1821842 2070275 2484330 2732763 3064007 3643684 4140550 4554605 4968660 5465526 6128014 6210825 8281100 9109210 9192021 10931052 12256028 12421650 13663815 15320035 18218420 18384042 22773025 24843300 27327630 30640070 33704077 36768084 45546050 45960105 54655260 61280140 67408154 68319075 76600175 91092100 91920210 101112231 134816308 136638150 153200350 168520385 183840420 202224462 229800525 273276300 306400700 337040770 404448924 459601050 505561155 674081540 842601925 919202100 1011122310 1685203850 2022244620 2527805775 3370407700 5055611550 10111223100