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123011020320 = 2535797321547
BaseRepresentation
bin111001010010000000…
…1110011011000100000
3102202111211221021212120
41302210001303120200
54003411310122240
6132302133024240
711613220264206
oct1624401633040
9382454837776
10123011020320
1148194572271
121ba10185080
13b7a4c599b6
145d4d1bb076
1532ee4c4ad0
hex1ca4073620

123011020320 has 96 divisors (see below), whose sum is σ = 387972099648. Its totient is φ = 32761678848.

The previous prime is 123011020289. The next prime is 123011020333. The reversal of 123011020320 is 23020110321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1230110203202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123011020320.

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, 221787 + ... + 543333.

It is an arithmetic number, because the mean of its divisors is an integer number (4041376038).

Almost surely, 2123011020320 is an apocalyptic number.

123011020320 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 123011020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193986049824).

123011020320 is an abundant number, since it is smaller than the sum of its proper divisors (264961079328).

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

123011020320 is a wasteful number, since it uses less digits than its factorization.

123011020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322362 (or 322354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123011020320 its reverse (23020110321), we get a palindrome (146031130641).

Subtracting from 123011020320 its reverse (23020110321), we obtain a palindrome (99990909999).

The spelling of 123011020320 in words is "one hundred twenty-three billion, eleven million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 797 1594 2391 3188 3985 4782 6376 7970 9564 11955 12752 15940 19128 23910 25504 31880 38256 47820 63760 76512 95640 127520 191280 321547 382560 643094 964641 1286188 1607735 1929282 2572376 3215470 3858564 4823205 5144752 6430940 7717128 9646410 10289504 12861880 15434256 19292820 25723760 30868512 38585640 51447520 77171280 154342560 256272959 512545918 768818877 1025091836 1281364795 1537637754 2050183672 2562729590 3075275508 3844094385 4100367344 5125459180 6150551016 7688188770 8200734688 10250918360 12301102032 15376377540 20501836720 24602204064 30752755080 41003673440 61505510160 123011020320