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123314410543400 = 23526755911645961
BaseRepresentation
bin11100000010011101011111…
…101000101101100100101000
3121011121202001021221210101022
4130002131133220231210220
5112130340403044342100
61114133505205312012
734655113023025646
oct3402353750554450
9534552037853338
10123314410543400
1136323390a5178a
12119b71aa705608
1353a666445a91b
142264640ccc196
15e3ca56733e85
hex70275fa2d928

123314410543400 has 96 divisors (see below), whose sum is σ = 291037420716480. Its totient is φ = 48580838592000.

The previous prime is 123314410543367. The next prime is 123314410543421. The reversal of 123314410543400 is 4345014413321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74096420 + ... + 75742380.

It is an arithmetic number, because the mean of its divisors is an integer number (3031639799130).

Almost surely, 2123314410543400 is an apocalyptic number.

123314410543400 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 123314410543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145518710358240).

123314410543400 is an abundant number, since it is smaller than the sum of its proper divisors (167723010173080).

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

123314410543400 is a wasteful number, since it uses less digits than its factorization.

123314410543400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651635 (or 1651626 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 123314410543400 its reverse (4345014413321), we get a palindrome (127659424956721).

The spelling of 123314410543400 in words is "one hundred twenty-three trillion, three hundred fourteen billion, four hundred ten million, five hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 5591 6700 11182 13400 22364 27955 44728 55910 111820 139775 223640 279550 374597 559100 749194 1118200 1498388 1645961 1872985 2996776 3291922 3745970 6583844 7491940 8229805 9364925 13167688 14983880 16459610 18729850 32919220 37459700 41149025 65838440 74919400 82298050 110279387 164596100 220558774 329192200 441117548 551396935 882235096 1102793870 2205587740 2756984675 4411175480 5513969350 9202567951 11027938700 18405135902 22055877400 36810271804 46012839755 73620543608 92025679510 184051359020 230064198775 368102718040 460128397550 616572052717 920256795100 1233144105434 1840513590200 2466288210868 3082860263585 4932576421736 6165720527170 12331441054340 15414301317925 24662882108680 30828602635850 61657205271700 123314410543400