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123233313120 = 25351991290131
BaseRepresentation
bin111001011000101000…
…1110010000101100000
3102210002100012221021020
41302301101302011200
54004340212004440
6132340153325440
711621556610161
oct1626121620540
9383070187236
10123233313120
1148298aa1125
121ba72706880
13b80c01abb8
145d70923768
153313c843d0
hex1cb1472160

123233313120 has 96 divisors (see below), whose sum is σ = 390135916800. Its totient is φ = 32697054720.

The previous prime is 123233313107. The next prime is 123233313143. The reversal of 123233313120 is 21313332321.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 549546 + ... + 740585.

It is an arithmetic number, because the mean of its divisors is an integer number (4063915800).

Almost surely, 2123233313120 is an apocalyptic number.

123233313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123233313120 is an abundant number, since it is smaller than the sum of its proper divisors (266902603680).

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

123233313120 is a wasteful number, since it uses less digits than its factorization.

123233313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290348 (or 1290340 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123233313120 its reverse (21313332321), we get a palindrome (144546645441).

The spelling of 123233313120 in words is "one hundred twenty-three billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 6368 7960 9552 11940 15920 19104 23880 31840 47760 95520 1290131 2580262 3870393 5160524 6450655 7740786 10321048 12901310 15481572 19351965 20642096 25802620 30963144 38703930 41284192 51605240 61926288 77407860 103210480 123852576 154815720 206420960 256736069 309631440 513472138 619262880 770208207 1026944276 1283680345 1540416414 2053888552 2567360690 3080832828 3851041035 4107777104 5134721380 6161665656 7702082070 8215554208 10269442760 12323331312 15404164140 20538885520 24646662624 30808328280 41077771040 61616656560 123233313120