Search a number
-
+
10101121020 = 2232556117339
BaseRepresentation
bin10010110100001001…
…01101111111111100
3222001222001010002100
421122010231333330
5131141341333040
64350154025100
7505213053264
oct113204557774
928058033070
1010101121020
114313901801
121b5aa18190
13c4c9342b3
146bb7667a4
153e1bd4b30
hex25a12dffc

10101121020 has 36 divisors (see below), whose sum is σ = 30640067640. Its totient is φ = 2693632224.

The previous prime is 10101121001. The next prime is 10101121021. The reversal of 10101121020 is 2012110101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 10101120993 and 10101121011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101121021) 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, 28058490 + ... + 28058849.

It is an arithmetic number, because the mean of its divisors is an integer number (851112990).

Almost surely, 210101121020 is an apocalyptic number.

10101121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101121020 is an abundant number, since it is smaller than the sum of its proper divisors (20538946620).

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

10101121020 is a wasteful number, since it uses less digits than its factorization.

10101121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56117354 (or 56117349 counting only the distinct ones).

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

Adding to 10101121020 its reverse (2012110101), we get a palindrome (12113231121).

The spelling of 10101121020 in words is "ten billion, one hundred one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56117339 112234678 168352017 224469356 280586695 336704034 505056051 561173390 673408068 841760085 1010112102 1122346780 1683520170 2020224204 2525280255 3367040340 5050560510 10101121020