Search a number
-
+
100121100000120 = 23325278114166667
BaseRepresentation
bin10110110000111101000010…
…100110011001101101111000
3111010111111001121022221021100
4112300331002212121231320
5101110341003100000440
6552534555352011400
730042340123151133
oct2660750246315570
9433444047287240
10100121100000120
11299a1135886701
12b290181990b60
1343b34c11b1054
141aa1c5c29721a
15b895a610b230
hex5b0f42999b78

100121100000120 has 48 divisors (see below), whose sum is σ = 325393575001560. Its totient is φ = 26698959999936.

The previous prime is 100121100000113. The next prime is 100121100000121. The reversal of 100121100000120 is 21000001121001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121100000121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139057082974 + ... + 139057083693.

Almost surely, 2100121100000120 is an apocalyptic number.

100121100000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121100000120 is an abundant number, since it is smaller than the sum of its proper divisors (225272475001440).

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

100121100000120 is a wasteful number, since it uses less digits than its factorization.

100121100000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278114166684 (or 278114166677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100121100000120 its reverse (21000001121001), we get a palindrome (121121101121121).

The spelling of 100121100000120 in words is "one hundred trillion, one hundred twenty-one billion, one hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 278114166667 556228333334 834342500001 1112456666668 1390570833335 1668685000002 2224913333336 2503027500003 2781141666670 3337370000004 4171712500005 5006055000006 5562283333340 6674740000008 8343425000010 10012110000012 11124566666680 12515137500015 16686850000020 20024220000024 25030275000030 33373700000040 50060550000060 100121100000120