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110002221020104 = 237293119111439851
BaseRepresentation
bin11001000000101111100011…
…010011101111001111001000
3112102111002221220210021220221
4121000233203103233033020
5103404234022040120404
61025542153411555424
732112253404054040
oct3100574323571710
9472432856707827
10110002221020104
11320607530174a6
12104072012bbb74
13494c21b48263a
141d241c8cd0720
15cab6246d2954
hex640be34ef3c8

110002221020104 has 128 divisors (see below), whose sum is σ = 253031222476800. Its totient is φ = 43819201440000.

The previous prime is 110002221020099. The next prime is 110002221020113. The reversal of 110002221020104 is 401020122200011.

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, 3895779 + ... + 15335629.

It is an arithmetic number, because the mean of its divisors is an integer number (1976806425600).

Almost surely, 2110002221020104 is an apocalyptic number.

110002221020104 is a gapful number since it is divisible by the number (14) 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 110002221020104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126515611238400).

110002221020104 is an abundant number, since it is smaller than the sum of its proper divisors (143029001456696).

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

110002221020104 is a wasteful number, since it uses less digits than its factorization.

110002221020104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440115 (or 11440111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110002221020104 its reverse (401020122200011), we get a palindrome (511022343220115).

The spelling of 110002221020104 in words is "one hundred ten trillion, two billion, two hundred twenty-one million, twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 29 31 56 58 62 116 124 191 203 217 232 248 382 406 434 764 812 868 899 1337 1528 1624 1736 1798 2674 3596 5348 5539 5921 6293 7192 10696 11078 11842 12586 22156 23684 25172 38773 41447 44312 47368 50344 77546 82894 155092 165788 171709 310184 331576 343418 686836 1201963 1373672 2403926 4807852 9615704 11439851 22879702 45759404 80078957 91518808 160157914 320315828 331755679 354635381 640631656 663511358 709270762 1327022716 1418541524 2185011541 2322289753 2482447667 2654045432 2837083048 4370023082 4644579506 4964895334 8740046164 9289159012 9929790668 10284426049 15295080787 17480092328 18578318024 19859581336 20568852098 30590161574 41137704196 61180323148 63365334689 67735357771 71990982343 82275408392 122360646296 126730669378 135470715542 143981964686 253461338756 270941431084 287963929372 443557342823 474147504397 506922677512 541882862168 575927858744 887114685646 948295008794 1774229371292 1896590017588 1964325375359 3548458742584 3793180035176 3928650750718 7857301501436 13750277627513 15714603002872 27500555255026 55001110510052 110002221020104