Search a number
-
+
123103111212320 = 25515711689419249
BaseRepresentation
bin11011111111011000101101…
…001101101110110100100000
3121010212112122110222121121012
4123333120231031232310200
5112113410132432243240
61113452442155320052
734633622566243511
oct3377305515566440
9533775573877535
10123103111212320
1136251810a95938
121198225aa50028
13538c75c1bb935
14225831829ca08
15e372db2e4b65
hex6ff62d36ed20

123103111212320 has 96 divisors (see below), whose sum is σ = 292709265030000. Its totient is φ = 48923303510016.

The previous prime is 123103111212293. The next prime is 123103111212383. The reversal of 123103111212320 is 23212111301321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 79545064790416 + 43558046421904 = 8918804^2 + 6599852^2 .

It is a super-2 number, since 2×1231031112123202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293418056 + ... + 293837304.

Almost surely, 2123103111212320 is an apocalyptic number.

123103111212320 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 123103111212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146354632515000).

123103111212320 is an abundant number, since it is smaller than the sum of its proper divisors (169606153817680).

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

123103111212320 is a wasteful number, since it uses less digits than its factorization.

123103111212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431110 (or 431102 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 123103111212320 its reverse (23212111301321), we get a palindrome (146315222513641).

The spelling of 123103111212320 in words is "one hundred twenty-three trillion, one hundred three billion, one hundred eleven million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 11689 12560 23378 25120 46756 58445 93512 116890 187024 233780 374048 419249 467560 838498 935120 1676996 1835173 1870240 2096245 3353992 3670346 4192490 6707984 7340692 8384980 9175865 13415968 14681384 16769960 18351730 29362768 33539920 36703460 58725536 65822093 67079840 73406920 131644186 146813840 263288372 293627680 329110465 526576744 658220930 1053153488 1316441860 2106306976 2632883720 4900601561 5265767440 9801203122 10531534880 19602406244 24503007805 39204812488 49006015610 78409624976 98012031220 156819249952 196024062440 392048124880 769394445077 784096249760 1538788890154 3077577780308 3846972225385 6155155560616 7693944450770 12310311121232 15387888901540 24620622242464 30775777803080 61551555606160 123103111212320