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101423340 = 2235541509
BaseRepresentation
bin1100000101110…
…01100011101100
321001211211200000
412002321203230
5201431021330
614021504300
72341040604
oct602714354
9231754600
10101423340
1152283947
1229b72090
1318021615
14d681c04
158d86560
hex60b98ec

101423340 has 144 divisors (see below), whose sum is σ = 327468960. Its totient is φ = 26334720.

The previous prime is 101423317. The next prime is 101423341. The reversal of 101423340 is 43324101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101423341) 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, 199006 + ... + 199514.

It is an arithmetic number, because the mean of its divisors is an integer number (2274090).

Almost surely, 2101423340 is an apocalyptic number.

101423340 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 101423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163734480).

101423340 is an abundant number, since it is smaller than the sum of its proper divisors (226045620).

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

101423340 is a wasteful number, since it uses less digits than its factorization.

101423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101423340 is about 10070.9155492438. The cubic root of 101423340 is about 466.3507033544.

Adding to 101423340 its reverse (43324101), we get a palindrome (144747441).

The spelling of 101423340 in words is "one hundred one million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 243 246 270 324 369 405 410 486 492 509 540 615 738 810 820 972 1018 1107 1215 1230 1476 1527 1620 1845 2036 2214 2430 2460 2545 3054 3321 3690 4428 4581 4860 5090 5535 6108 6642 7380 7635 9162 9963 10180 11070 13284 13743 15270 16605 18324 19926 20869 22140 22905 27486 30540 33210 39852 41229 41738 45810 49815 54972 62607 66420 68715 82458 83476 91620 99630 104345 123687 125214 137430 164916 187821 199260 206145 208690 247374 250428 274860 313035 375642 412290 417380 494748 563463 618435 626070 751284 824580 939105 1126926 1236870 1252140 1690389 1878210 2253852 2473740 2817315 3380778 3756420 5071167 5634630 6761556 8451945 10142334 11269260 16903890 20284668 25355835 33807780 50711670 101423340