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123013100320 = 25511411704727
BaseRepresentation
bin111001010010000100…
…1101111001100100000
3102202111222211222002121
41302210021233030200
54003412323202240
6132302245354024
711613244046305
oct1624411571440
9382458758077
10123013100320
1148195762a80
121ba10a08914
13b7a5507676
145d4d59d0ac
1532ee78604a
hex1ca426f320

123013100320 has 96 divisors (see below), whose sum is σ = 324771140736. Its totient is φ = 43640985600.

The previous prime is 123013100293. The next prime is 123013100339. The reversal of 123013100320 is 23001310321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 123013100294 and 123013100303.

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, 780204 + ... + 924523.

It is an arithmetic number, because the mean of its divisors is an integer number (3383032716).

Almost surely, 2123013100320 is an apocalyptic number.

123013100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123013100320 is an abundant number, since it is smaller than the sum of its proper divisors (201758040416).

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

123013100320 is a wasteful number, since it uses less digits than its factorization.

123013100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704794 (or 1704786 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 123013100320 its reverse (23001310321), we get a palindrome (146014410641).

The spelling of 123013100320 in words is "one hundred twenty-three billion, thirteen million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 160 164 176 205 220 328 352 410 440 451 656 820 880 902 1312 1640 1760 1804 2255 3280 3608 4510 6560 7216 9020 14432 18040 36080 72160 1704727 3409454 6818908 8523635 13637816 17047270 18751997 27275632 34094540 37503994 54551264 68189080 69893807 75007988 93759985 136378160 139787614 150015976 187519970 272756320 279575228 300031952 349469035 375039940 559150456 600063904 698938070 750079880 768831877 1118300912 1397876140 1500159760 1537663754 2236601824 2795752280 3000319520 3075327508 3844159385 5591504560 6150655016 7688318770 11183009120 12301310032 15376637540 24602620064 30753275080 61506550160 123013100320