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100111210110220 = 225232696311282163
BaseRepresentation
bin10110110000110011110101…
…000111011101110100001100
3111010110112112100202110210211
4112300303311013131310030
5101110210224242011340
6552530242141212204
730041540053366651
oct2660636507356414
9433415470673724
10100111210110220
1129997a20238a81
12b28a281861064
1343b25a62670aa
141aa15a09d7c28
15b891c7c4d5ea
hex5b0cf51ddd0c

100111210110220 has 96 divisors (see below), whose sum is σ = 220538772679680. Its totient is φ = 38100520846080.

The previous prime is 100111210110217. The next prime is 100111210110251. The reversal of 100111210110220 is 22011012111001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111210110220.

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, 77438859 + ... + 78721021.

It is an arithmetic number, because the mean of its divisors is an integer number (2297278882080).

Almost surely, 2100111210110220 is an apocalyptic number.

100111210110220 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 100111210110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110269386339840).

100111210110220 is an abundant number, since it is smaller than the sum of its proper divisors (120427562569460).

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

100111210110220 is a wasteful number, since it uses less digits than its factorization.

100111210110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283095 (or 1283093 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111210110220 its reverse (22011012111001), we get a palindrome (122122222221221).

The spelling of 100111210110220 in words is "one hundred trillion, one hundred eleven billion, two hundred ten million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 269 460 538 631 1076 1262 1345 2524 2690 3155 5380 6187 6310 12374 12620 14513 24748 29026 30935 58052 61870 72565 123740 145130 169739 290260 339478 678956 848695 1282163 1697390 2564326 3394780 3903997 5128652 6410815 7807994 12821630 15615988 19519985 25643260 29489749 39039970 58979498 78079940 117958996 147448745 294897490 344901847 589794980 689803694 809044853 1379607388 1618089706 1724509235 3236179412 3449018470 4045224265 6898036940 7932742481 8090448530 15865484962 16180897060 18608031619 31730969924 37216063238 39663712405 74432126476 79327424810 93040158095 158654849620 186080316190 217633065457 372160632380 435266130914 870532261828 1088165327285 2176330654570 4352661309140 5005560505511 10011121011022 20022242022044 25027802527555 50055605055110 100111210110220