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103020120 = 23335713627
BaseRepresentation
bin1100010001111…
…11011001011000
321011211222001000
412020333121120
5202333120440
614120025000
72360441130
oct610773130
9234758030
10103020120
11531745a5
122a602160
1318460368
14d979ac0
15909e730
hex623f658

103020120 has 128 divisors (see below), whose sum is σ = 392486400. Its totient is φ = 23545728.

The previous prime is 103020107. The next prime is 103020149. The reversal of 103020120 is 21020301.

It is a happy number.

It is a super-2 number, since 2×1030201202 = 21226290249628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 747 + ... + 14373.

It is an arithmetic number, because the mean of its divisors is an integer number (3066300).

Almost surely, 2103020120 is an apocalyptic number.

103020120 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 103020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196243200).

103020120 is an abundant number, since it is smaller than the sum of its proper divisors (289466280).

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

103020120 is a wasteful number, since it uses less digits than its factorization.

103020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13654 (or 13644 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103020120 is about 10149.8827579436. The cubic root of 103020120 is about 468.7853349363.

Adding to 103020120 its reverse (21020301), we get a palindrome (124040421).

The spelling of 103020120 in words is "one hundred three million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 13627 27254 40881 54508 68135 81762 95389 109016 122643 136270 163524 190778 204405 245286 272540 286167 327048 367929 381556 408810 476945 490572 545080 572334 613215 735858 763112 817620 858501 953890 981144 1144668 1226430 1430835 1471716 1635240 1717002 1839645 1907780 2289336 2452860 2575503 2861670 2943432 3434004 3679290 3815560 4292505 4905720 5151006 5723340 6868008 7358580 8585010 10302012 11446680 12877515 14717160 17170020 20604024 25755030 34340040 51510060 103020120