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340210121221120 = 2105411116163291
BaseRepresentation
bin100110101011010110101011…
…1011011001010010000000000
31122121120202210022000120220111
41031112231113123022100000
5324043000312013033440
63203322212211321104
7131442240645461113
oct11526552733122000
91577522708016814
10340210121221120
1199446336195a47
12321a70012b0194
13117aa8a4b3c887
1460023872ac57a
15294e9a53554ea
hex1356b576ca400

340210121221120 has 88 divisors (see below), whose sum is σ = 816304175238528. Its totient is φ = 136050937651200.

The previous prime is 340210121221081. The next prime is 340210121221129. The reversal of 340210121221120 is 21122121012043.

It is a junction number, because it is equal to n+sod(n) for n = 340210121221091 and 340210121221100.

It is not an unprimeable number, because it can be changed into a prime (340210121221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12966675 + ... + 29129965.

Almost surely, 2340210121221120 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 340210121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408152087619264).

340210121221120 is an abundant number, since it is smaller than the sum of its proper divisors (476094054017408).

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

340210121221120 is a wasteful number, since it uses less digits than its factorization.

340210121221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16167427 (or 16167409 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 340210121221120 its reverse (21122121012043), we get a palindrome (361332242233163).

The spelling of 340210121221120 in words is "three hundred forty trillion, two hundred ten billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 4111 5120 8222 16444 20555 32888 41110 65776 82220 131552 164440 263104 328880 526208 657760 1052416 1315520 2104832 2631040 4209664 5262080 10524160 16163291 21048320 32326582 64653164 80816455 129306328 161632910 258612656 323265820 517225312 646531640 1034450624 1293063280 2068901248 2586126560 4137802496 5172253120 8275604992 10344506240 16551209984 20689012480 41378024960 66447289301 82756049920 132894578602 265789157204 332236446505 531578314408 664472893010 1063156628816 1328945786020 2126313257632 2657891572040 4252626515264 5315783144080 8505253030528 10631566288160 17010506061056 21263132576320 34021012122112 42526265152640 68042024244224 85052530305280 170105060610560 340210121221120