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121100320234304 = 269792930016997
BaseRepresentation
bin11011100010001111011101…
…100100011101101101000000
3120212210002002112102101112222
4123202033131210131231000
5111333101423434444204
61105320415154110212
734336131553644335
oct3342173544355500
9525702075371488
10121100320234304
113564a3a2769a54
12116ba07827b368
1352759326689a8
1421c9402c9698c
15e0016d2b0abe
hex6e23dd91db40

121100320234304 has 112 divisors (see below), whose sum is σ = 243162931940880. Its totient is φ = 59832926208000.

The previous prime is 121100320234273. The next prime is 121100320234307. The reversal of 121100320234304 is 403432023001121.

It can be written as a sum of positive squares in 8 ways, for example, as 20309804089600 + 100790516144704 = 4506640^2 + 10039448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100320234307) 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, 17307459734 + ... + 17307466730.

It is an arithmetic number, because the mean of its divisors is an integer number (2171097606615).

Almost surely, 2121100320234304 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 121100320234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121581465970440).

121100320234304 is an abundant number, since it is smaller than the sum of its proper divisors (122062611706576).

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

121100320234304 is an equidigital number, since it uses as much as digits as its factorization.

121100320234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 121100320234304 its reverse (403432023001121), we get a palindrome (524532343235425).

The spelling of 121100320234304 in words is "one hundred twenty-one trillion, one hundred billion, three hundred twenty million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 929 1552 1858 3001 3104 3716 6002 6208 6997 7432 12004 13994 14864 24008 27988 29728 48016 55976 59456 90113 96032 111952 180226 192064 223904 291097 360452 447808 582194 678709 720904 1164388 1357418 1441808 2328776 2714836 2787929 2883616 4657552 5429672 5575858 5767232 6500213 9315104 10859344 11151716 13000426 18630208 20997997 21718688 22303432 26000852 41995994 43437376 44606864 52001704 83991988 89213728 104003408 167983976 178427456 208006816 270429113 335967952 416013632 540858226 630520661 671935904 1081716452 1261041322 1343871808 2036805709 2163432904 2522082644 4073611418 4326865808 5044165288 8147222836 8653731616 10088330576 16294445672 17307463232 19507139213 20176661152 32588891344 39014278426 40353322304 65177782688 78028556852 130355565376 156057113704 312114227408 624228454816 1248456909632 1892192503661 3784385007322 7568770014644 15137540029288 30275080058576 60550160117152 121100320234304