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101200120 = 23573189131
BaseRepresentation
bin1100000100000…
…11000011111000
321001102111110121
412002003003320
5201401400440
614013023024
72336121040
oct602030370
9231374417
10101200120
115214116a
1229a84a74
1317c73b38
14d624720
158d4034a
hex60830f8

101200120 has 128 divisors (see below), whose sum is σ = 273715200. Its totient is φ = 32947200.

The previous prime is 101200117. The next prime is 101200139. The reversal of 101200120 is 21002101.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 772455 + ... + 772585.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400).

Almost surely, 2101200120 is an apocalyptic number.

101200120 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 101200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136857600).

101200120 is an abundant number, since it is smaller than the sum of its proper divisors (172515080).

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

101200120 is a wasteful number, since it uses less digits than its factorization.

101200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 101200120 is about 10059.8270362865. The cubic root of 101200120 is about 466.0083256631.

Adding to 101200120 its reverse (21002101), we get a palindrome (122202221).

The spelling of 101200120 in words is "one hundred one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 89 124 131 140 155 178 217 248 262 280 310 356 434 445 524 620 623 655 712 868 890 917 1048 1085 1240 1246 1310 1736 1780 1834 2170 2492 2620 2759 3115 3560 3668 4061 4340 4585 4984 5240 5518 6230 7336 8122 8680 9170 11036 11659 12460 13795 16244 18340 19313 20305 22072 23318 24920 27590 28427 32488 36680 38626 40610 46636 55180 56854 58295 77252 81220 81613 93272 96565 110360 113708 116590 142135 154504 162440 163226 193130 227416 233180 284270 326452 361429 386260 408065 466360 568540 652904 722858 772520 816130 1137080 1445716 1632260 1807145 2530003 2891432 3264520 3614290 5060006 7228580 10120012 12650015 14457160 20240024 25300030 50600060 101200120