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300121140 = 223511267617
BaseRepresentation
bin10001111000110…
…111110000110100
3202220201201210210
4101320313300310
51103312334030
645440345420
710302662514
oct2170676064
9686651723
10300121140
11144457500
1284615270
134a240c97
142bc05844
151b534bb0
hex11e37c34

300121140 has 144 divisors (see below), whose sum is σ = 938984256. Its totient is φ = 71554560.

The previous prime is 300121127. The next prime is 300121219. The reversal of 300121140 is 41121003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486112 + ... + 486728.

It is an arithmetic number, because the mean of its divisors is an integer number (6520724).

Almost surely, 2300121140 is an apocalyptic number.

300121140 is a gapful number since it is divisible by the number (30) 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 300121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469492128).

300121140 is an abundant number, since it is smaller than the sum of its proper divisors (638863116).

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

300121140 is a wasteful number, since it uses less digits than its factorization.

300121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 300121140 is about 17324.0047333173. The cubic root of 300121140 is about 669.5230436317.

Adding to 300121140 its reverse (41121003), we get a palindrome (341242143).

The spelling of 300121140 in words is "three hundred million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 121 132 134 165 201 220 242 268 330 335 363 402 484 605 617 660 670 726 737 804 1005 1210 1234 1340 1452 1474 1815 1851 2010 2211 2420 2468 2948 3085 3630 3685 3702 4020 4422 6170 6787 7260 7370 7404 8107 8844 9255 11055 12340 13574 14740 16214 18510 20361 22110 24321 27148 32428 33935 37020 40535 40722 41339 44220 48642 67870 74657 81070 81444 82678 97284 101805 121605 124017 135740 149314 162140 165356 203610 206695 223971 243210 248034 298628 373285 407220 413390 447942 454729 486420 496068 620085 746570 826780 895884 909458 1119855 1240170 1364187 1493140 1818916 2239710 2273645 2480340 2728374 4479420 4547290 5002019 5456748 6820935 9094580 10004038 13641870 15006057 20008076 25010095 27283740 30012114 50020190 60024228 75030285 100040380 150060570 300121140