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101340120 = 23357223541
BaseRepresentation
bin1100000101001…
…01001111011000
321001200121111210
412002211033120
5201420340440
614020023120
72340243150
oct602451730
9231617453
10101340120
1152227372
1229b31aa0
1317cc278b
14d65d760
158d6ba80
hex60a53d8

101340120 has 128 divisors (see below), whose sum is σ = 349655040. Its totient is φ = 23016960.

The previous prime is 101340119. The next prime is 101340137. The reversal of 101340120 is 21043101.

It is a happy number.

It is a super-2 number, since 2×1013401202 = 20539639843228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101340096 and 101340105.

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, 187050 + ... + 187590.

It is an arithmetic number, because the mean of its divisors is an integer number (2731680).

Almost surely, 2101340120 is an apocalyptic number.

101340120 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 101340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174827520).

101340120 is an abundant number, since it is smaller than the sum of its proper divisors (248314920).

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

101340120 is a wasteful number, since it uses less digits than its factorization.

101340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 781 counting only the distinct ones).

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

The square root of 101340120 is about 10066.7830015353. The cubic root of 101340120 is about 466.2231182407.

Adding to 101340120 its reverse (21043101), we get a palindrome (122383221).

The spelling of 101340120 in words is "one hundred one million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 223 280 420 446 541 669 840 892 1082 1115 1338 1561 1623 1784 2164 2230 2676 2705 3122 3246 3345 3787 4328 4460 4683 5352 5410 6244 6492 6690 7574 7805 8115 8920 9366 10820 11361 12488 12984 13380 15148 15610 16230 18732 18935 21640 22722 23415 26760 30296 31220 32460 37464 37870 45444 46830 56805 62440 64920 75740 90888 93660 113610 120643 151480 187320 227220 241286 361929 454440 482572 603215 723858 844501 965144 1206430 1447716 1689002 1809645 2412860 2533503 2895432 3378004 3619290 4222505 4825720 5067006 6756008 7238580 8445010 10134012 12667515 14477160 16890020 20268024 25335030 33780040 50670060 101340120