Search a number
-
+
100241324211120 = 2435461581904873
BaseRepresentation
bin10110110010101101000000…
…100001010111101110110000
3111010220222101020101122102220
4112302231000201113232300
5101114323212444223440
6553110121214041040
730054124314116001
oct2662550041275660
9433828336348386
10100241324211120
1129a3811a25a874
12b2ab5347a9180
1343c194097b741
141aa79c52c51a8
15b8c790aee8d0
hex5b2b40857bb0

100241324211120 has 80 divisors (see below), whose sum is σ = 310749121696992. Its totient is φ = 26730932336640.

The previous prime is 100241324211113. The next prime is 100241324211211. The reversal of 100241324211120 is 21112423142001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 110327004 + ... + 111231876.

Almost surely, 2100241324211120 is an apocalyptic number.

100241324211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100241324211120 is an abundant number, since it is smaller than the sum of its proper divisors (210507797485872).

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

100241324211120 is a wasteful number, since it uses less digits than its factorization.

100241324211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366470 (or 1366464 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100241324211120 its reverse (21112423142001), we get a palindrome (121353747353121).

The spelling of 100241324211120 in words is "one hundred trillion, two hundred forty-one billion, three hundred twenty-four million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 461581 904873 923162 1384743 1809746 1846324 2307905 2714619 2769486 3619492 3692648 4524365 4615810 5429238 5538972 6923715 7238984 7385296 9048730 9231620 10858476 11077944 13573095 13847430 14477968 18097460 18463240 21716952 22155888 27146190 27694860 36194920 36926480 43433904 54292380 55389720 72389840 108584760 110779440 217169520 417672184213 835344368426 1253016552639 1670688736852 2088360921065 2506033105278 3341377473704 4176721842130 5012066210556 6265082763195 6682754947408 8353443684260 10024132421112 12530165526390 16706887368520 20048264842224 25060331052780 33413774737040 50120662105560 100241324211120