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103132202240 = 285614992647
BaseRepresentation
bin110000000001100101…
…0001000010100000000
3100212012110102200222002
41200003022020110000
53142203320432430
6115213413003132
710310466153314
oct1400312102400
9325173380862
10103132202240
113a813491aa1
1217ba29234a8
139957700c52
144dc503bb44
152a391e4845
hex1803288500

103132202240 has 144 divisors (see below), whose sum is σ = 251681808000. Its totient is φ = 40479989760.

The previous prime is 103132202233. The next prime is 103132202291. The reversal of 103132202240 is 42202231301.

It is a super-2 number, since 2×1031322022402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38960597 + ... + 38963243.

Almost surely, 2103132202240 is an apocalyptic number.

103132202240 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 103132202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125840904000).

103132202240 is an abundant number, since it is smaller than the sum of its proper divisors (148549605760).

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

103132202240 is an equidigital number, since it uses as much as digits as its factorization.

103132202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103132202240 its reverse (42202231301), we get a palindrome (145334433541).

The spelling of 103132202240 in words is "one hundred three billion, one hundred thirty-two million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 499 610 640 976 998 1220 1280 1952 1996 2440 2495 2647 3904 3992 4880 4990 5294 7808 7984 9760 9980 10588 13235 15616 15968 19520 19960 21176 26470 30439 31936 39040 39920 42352 52940 60878 63872 78080 79840 84704 105880 121756 127744 152195 159680 161467 169408 211760 243512 304390 319360 322934 338816 423520 487024 608780 638720 645868 677632 807335 847040 974048 1217560 1291736 1320853 1614670 1694080 1948096 2435120 2583472 2641706 3229340 3388160 3896192 4870240 5166944 5283412 6458680 6604265 7792384 9740480 10333888 10566824 12917360 13208530 19480960 20667776 21133648 25834720 26417060 38961920 41335552 42267296 51669440 52834120 80572033 84534592 103338880 105668240 161144066 169069184 206677760 211336480 322288132 338138368 402860165 422672960 644576264 805720330 845345920 1289152528 1611440660 1690691840 2578305056 3222881320 5156610112 6445762640 10313220224 12891525280 20626440448 25783050560 51566101120 103132202240