Search a number
-
+
101221112220020 = 225133192111219607
BaseRepresentation
bin10111000000111101100000…
…011100000000100101110100
3111021101122101100101112112222
4113000331200130000211310
5101231401314212020040
6555140200443301512
730214661343562202
oct2700754034004564
9437348340345488
10101221112220020
112a2856a6023691
12b4293b581a898
134463157677420
141add1b1222072
15ba7ed7bc2bb5
hex5c0f60700974

101221112220020 has 48 divisors (see below), whose sum is σ = 228916343230848. Its totient is φ = 37373801400960.

The previous prime is 101221112220013. The next prime is 101221112220023. The reversal of 101221112220020 is 20022211122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221112220023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82385057 + ... + 83604663.

It is an arithmetic number, because the mean of its divisors is an integer number (4769090483976).

Almost surely, 2101221112220020 is an apocalyptic number.

101221112220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221112220020 is an abundant number, since it is smaller than the sum of its proper divisors (127695231010828).

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

101221112220020 is a wasteful number, since it uses less digits than its factorization.

101221112220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538840 (or 1538838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101221112220020 its reverse (20022211122101), we get a palindrome (121243323342121).

The spelling of 101221112220020 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 319211 638422 1219607 1276844 1596055 2439214 3192110 4149743 4878428 6098035 6384220 8299486 12196070 15854891 16598972 20748715 24392140 31709782 41497430 63419564 79274455 82994860 158548910 317097820 389311970077 778623940154 1557247880308 1946559850385 3893119700770 5061055611001 7786239401540 10122111222002 20244222444004 25305278055005 50610556110010 101221112220020