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120402100 = 2252713101131
BaseRepresentation
bin1110010110100…
…11000010110100
322101120001122001
413023103002310
5221310331400
615540345044
72661254350
oct713230264
9271501561
10120402100
1161a66975
12343a5184
131bc37c60
1411dc2460
15a884a6a
hex72d30b4

120402100 has 144 divisors (see below), whose sum is σ = 327229056. Its totient is φ = 37440000.

The previous prime is 120402097. The next prime is 120402101. The reversal of 120402100 is 1204021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120402101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919035 + ... + 919165.

It is an arithmetic number, because the mean of its divisors is an integer number (2272424).

Almost surely, 2120402100 is an apocalyptic number.

120402100 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 120402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614528).

120402100 is an abundant number, since it is smaller than the sum of its proper divisors (206826956).

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

120402100 is a wasteful number, since it uses less digits than its factorization.

120402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 120402100 is about 10972.7890711523. The cubic root of 120402100 is about 493.7927250322.

Adding to 120402100 its reverse (1204021), we get a palindrome (121606121).

Multiplying 120402100 by its reverse (1204021), we get a square (144966656844100 = 120402102).

120402100 divided by its reverse (1204021) gives a square (100 = 102).

The spelling of 120402100 in words is "one hundred twenty million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 101 130 131 140 175 182 202 260 262 325 350 364 404 455 505 524 650 655 700 707 910 917 1010 1300 1310 1313 1414 1703 1820 1834 2020 2275 2525 2620 2626 2828 3275 3406 3535 3668 4550 4585 5050 5252 6550 6565 6812 7070 8515 9100 9170 9191 10100 11921 13100 13130 13231 14140 17030 17675 18340 18382 22925 23842 26260 26462 32825 34060 35350 36764 42575 45850 45955 47684 52924 59605 65650 66155 70700 85150 91700 91910 92617 119210 131300 132310 170300 172003 183820 185234 229775 238420 264620 298025 330775 344006 370468 459550 463085 596050 661550 688012 860015 919100 926170 1192100 1204021 1323100 1720030 1852340 2315425 2408042 3440060 4300075 4630850 4816084 6020105 8600150 9261700 12040210 17200300 24080420 30100525 60201050 120402100