Search a number
-
+
101202201000120 = 2335111129523712967
BaseRepresentation
bin10111000000101011111001…
…001111011011100010111000
3111021022211120101121000211010
4113000223321033123202320
5101231044101424000440
6555123352130233520
730213421612061253
oct2700537117334270
9437284511530733
10101202201000120
112a278681146230
12b4257b84258a0
13446143272258c
141adc2d979809a
15ba777c823580
hex5c0af93db8b8

101202201000120 has 256 divisors, whose sum is σ = 331589436134400. Its totient is φ = 24505565736960.

The previous prime is 101202201000083. The next prime is 101202201000143. The reversal of 101202201000120 is 21000102202101.

It is a super-3 number, since 3×1012022010001203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101202201000096 and 101202201000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7804589877 + ... + 7804602843.

It is an arithmetic number, because the mean of its divisors is an integer number (1295271234900).

Almost surely, 2101202201000120 is an apocalyptic number.

101202201000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202201000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165794718067200).

101202201000120 is an abundant number, since it is smaller than the sum of its proper divisors (230387235134280).

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

101202201000120 is a wasteful number, since it uses less digits than its factorization.

101202201000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19358 (or 19354 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101202201000120 its reverse (21000102202101), we get a palindrome (122202303202221).

The spelling of 101202201000120 in words is "one hundred one trillion, two hundred two billion, two hundred one million, one hundred twenty", and thus it is an aban number.