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123314023310200 = 23526710739856927
BaseRepresentation
bin11100000010011101001000…
…100011100010001101111000
3121011121201001022022022021221
4130002131020203202031320
5112130334104431411300
61114133402533441424
734655100311426122
oct3402351043421570
9534551038268257
10123314023310200
1136323202406748
12119b7100aa0274
1353a6602169358
1422646056cc212
15e3ca3274331a
hex7027488e2378

123314023310200 has 96 divisors (see below), whose sum is σ = 291011720486400. Its totient is φ = 48584824928640.

The previous prime is 123314023310171. The next prime is 123314023310227. The reversal of 123314023310200 is 2013320413321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143474137 + ... + 144331063.

It is an arithmetic number, because the mean of its divisors is an integer number (3031372088400).

Almost surely, 2123314023310200 is an apocalyptic number.

123314023310200 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 123314023310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145505860243200).

123314023310200 is an abundant number, since it is smaller than the sum of its proper divisors (167697697176200).

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

123314023310200 is a wasteful number, since it uses less digits than its factorization.

123314023310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867749 (or 867740 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 123314023310200 its reverse (2013320413321), we get a palindrome (125327343723521).

The spelling of 123314023310200 in words is "one hundred twenty-three trillion, three hundred fourteen billion, twenty-three million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6700 10739 13400 21478 42956 53695 85912 107390 214780 268475 429560 536950 719513 856927 1073900 1439026 1713854 2147800 2878052 3427708 3597565 4284635 5756104 6855416 7195130 8569270 14390260 17138540 17987825 21423175 28780520 34277080 35975650 42846350 57414109 71951300 85692700 114828218 143902600 171385400 229656436 287070545 459312872 574141090 1148282180 1435352725 2296564360 2870705450 5741410900 9202539053 11482821800 18405078106 36810156212 46012695265 73620312424 92025390530 184050781060 230063476325 368101562120 460126952650 616570116551 920253905300 1233140233102 1840507810600 2466280466204 3082850582755 4932560932408 6165701165510 12331402331020 15414252913775 24662804662040 30828505827550 61657011655100 123314023310200