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101234040 = 23352343853
BaseRepresentation
bin1100000100010…
…11010101111000
321001111012222220
412002023111320
5201403442130
614013444040
72336321655
oct602132570
9231435886
10101234040
11521646a6
1229aa0620
1317c863cb
14d632c2c
158d4a410
hex608b578

101234040 has 128 divisors (see below), whose sum is σ = 324656640. Its totient is φ = 25191936.

The previous prime is 101234039. The next prime is 101234057. The reversal of 101234040 is 40432101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 118254 + ... + 119106.

It is an arithmetic number, because the mean of its divisors is an integer number (2536380).

Almost surely, 2101234040 is an apocalyptic number.

101234040 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 101234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162328320).

101234040 is an abundant number, since it is smaller than the sum of its proper divisors (223422600).

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

101234040 is a wasteful number, since it uses less digits than its factorization.

101234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 101234040 is about 10061.5128087182. The cubic root of 101234040 is about 466.0603850107.

Adding to 101234040 its reverse (40432101), we get a palindrome (141666141).

The spelling of 101234040 in words is "one hundred one million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 43 46 60 69 86 92 115 120 129 138 172 184 215 230 258 276 344 345 430 460 516 552 645 690 853 860 920 989 1032 1290 1380 1706 1720 1978 2559 2580 2760 2967 3412 3956 4265 4945 5118 5160 5934 6824 7912 8530 9890 10236 11868 12795 14835 17060 19619 19780 20472 23736 25590 29670 34120 36679 39238 39560 51180 58857 59340 73358 78476 98095 102360 110037 117714 118680 146716 156952 183395 196190 220074 235428 293432 294285 366790 392380 440148 470856 550185 588570 733580 784760 843617 880296 1100370 1177140 1467160 1687234 2200740 2354280 2530851 3374468 4218085 4401480 5061702 6748936 8436170 10123404 12654255 16872340 20246808 25308510 33744680 50617020 101234040