Search a number
-
+
112103100240 = 24353137407233
BaseRepresentation
bin110100001100111011…
…1011000111101010000
3101201100122202112112120
41220121313120331100
53314041343201430
6123255514254240
711046006426015
oct1503167307520
9351318675476
10112103100240
11435a730648a
1219887127380
13a757131c11
1455d663970c
152db1a73610
hex1a19dd8f50

112103100240 has 160 divisors (see below), whose sum is σ = 368426228736. Its totient is φ = 28147875840.

The previous prime is 112103100233. The next prime is 112103100257. The reversal of 112103100240 is 42001301211.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71664 + ... + 478896.

Almost surely, 2112103100240 is an apocalyptic number.

112103100240 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 112103100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184213114368).

112103100240 is an abundant number, since it is smaller than the sum of its proper divisors (256323128496).

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

112103100240 is a wasteful number, since it uses less digits than its factorization.

112103100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407317 (or 407311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 112103100240 its reverse (42001301211), we get a palindrome (154104401451).

The spelling of 112103100240 in words is "one hundred twelve billion, one hundred three million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 37 40 48 60 62 74 80 93 111 120 124 148 155 185 186 222 240 248 296 310 370 372 444 465 496 555 592 620 740 744 888 930 1110 1147 1240 1480 1488 1776 1860 2220 2294 2480 2960 3441 3720 4440 4588 5735 6882 7440 8880 9176 11470 13764 17205 18352 22940 27528 34410 45880 55056 68820 91760 137640 275280 407233 814466 1221699 1628932 2036165 2443398 3257864 4072330 4886796 6108495 6515728 8144660 9773592 12216990 12624223 15067621 16289320 19547184 24433980 25248446 30135242 32578640 37872669 45202863 48867960 50496892 60270484 63121115 75338105 75745338 90405726 97735920 100993784 120540968 126242230 150676210 151490676 180811452 189363345 201987568 226014315 241081936 252484460 301352420 302981352 361622904 378726690 452028630 467096251 504968920 602704840 605962704 723245808 757453380 904057260 934192502 1009937840 1205409680 1401288753 1514906760 1808114520 1868385004 2335481255 2802577506 3029813520 3616229040 3736770008 4670962510 5605155012 7006443765 7473540016 9341925020 11210310024 14012887530 18683850040 22420620048 28025775060 37367700080 56051550120 112103100240