Search a number
-
+
101210010101020 = 22543469125087627
BaseRepresentation
bin10111000000110011001010…
…101100110010010100011100
3111021100120201121210110101101
4113000303022230302110130
5101231211100041213040
6555131123050322444
730214116254250262
oct2700631254622434
9437316647713341
10101210010101020
112a280a19187327
12b427217729424
1344620a8546942
141adc83a96c432
15ba7a881b109a
hex5c0ccab3251c

101210010101020 has 48 divisors (see below), whose sum is σ = 217530206264448. Its totient is φ = 39534084555840.

The previous prime is 101210010100943. The next prime is 101210010101021. The reversal of 101210010101020 is 20101010012101.

It is a super-2 number, since 2×1012100101010202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101210010100988 and 101210010101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210010101021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8509554 + ... + 16578073.

It is an arithmetic number, because the mean of its divisors is an integer number (4531879297176).

Almost surely, 2101210010101020 is an apocalyptic number.

101210010101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210010101020 is an abundant number, since it is smaller than the sum of its proper divisors (116320196163428).

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

101210010101020 is a wasteful number, since it uses less digits than its factorization.

101210010101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25092370 (or 25092368 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101210010101020 its reverse (20101010012101), we get a palindrome (121311020113121).

The spelling of 101210010101020 in words is "one hundred one trillion, two hundred ten billion, ten million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 4691 9382 18764 23455 46910 93820 201713 403426 806852 1008565 2017130 4034260 25087627 50175254 100350508 125438135 250876270 501752540 1078767961 2157535922 4315071844 5393839805 10787679610 21575359220 117686058257 235372116514 470744233028 588430291285 1176860582570 2353721165140 5060500505051 10121001010102 20242002020204 25302502525255 50605005050510 101210010101020