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120803314000 = 2453232938963
BaseRepresentation
bin111000010000001110…
…0000100100101010000
3102112210222202012010211
41300200130010211100
53434401122022000
6131255110133504
711504422140505
oct1604034044520
9375728665124
10120803314000
1147261359896
121b4b4951294
13b51275a7b5
145bbdcd54ac
1532207847ba
hex1c20704950

120803314000 has 160 divisors (see below), whose sum is σ = 305876922624. Its totient is φ = 46057510400.

The previous prime is 120803313919. The next prime is 120803314039. The reversal of 120803314000 is 413308021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13473519 + ... + 13482481.

Almost surely, 2120803314000 is an apocalyptic number.

120803314000 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 120803314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152938461312).

120803314000 is an abundant number, since it is smaller than the sum of its proper divisors (185073608624).

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

120803314000 is a wasteful number, since it uses less digits than its factorization.

120803314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 120803314000 in words is "one hundred twenty billion, eight hundred three million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 293 368 400 460 500 575 586 920 1000 1150 1172 1465 1840 2000 2300 2344 2875 2930 4600 4688 5750 5860 6739 7325 8963 9200 11500 11720 13478 14650 17926 23000 23440 26956 29300 33695 35852 36625 44815 46000 53912 58600 67390 71704 73250 89630 107824 117200 134780 143408 146500 168475 179260 206149 224075 269560 293000 336950 358520 412298 448150 539120 586000 673900 717040 824596 842375 896300 1030745 1120375 1347800 1649192 1684750 1792600 2061490 2240750 2626159 2695600 3298384 3369500 3585200 4122980 4481500 5153725 5252318 6739000 8245960 8963000 10307450 10504636 13130795 13478000 16491920 17926000 20614900 21009272 25768625 26261590 41229800 42018544 51537250 52523180 60401657 65653975 82459600 103074500 105046360 120803314 131307950 206149000 210092720 241606628 262615900 302008285 328269875 412298000 483213256 525231800 604016570 656539750 966426512 1050463600 1208033140 1313079500 1510041425 2416066280 2626159000 3020082850 4832132560 5252318000 6040165700 7550207125 12080331400 15100414250 24160662800 30200828500 60401657000 120803314000