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2101130213301 = 327832671150439
BaseRepresentation
bin11110100100110101000…
…111101011011110110101
321102212101101011222101200
4132210311013223132311
5233411103313311201
64245125040243113
7304541652064050
oct36446507533665
97385341158350
102101130213301
117400a2257969
1229b268310499
1312319c272882
14739a3a75a97
15399c656a386
hex1e9351eb7b5

2101130213301 has 48 divisors (see below), whose sum is σ = 3511659540480. Its totient is φ = 1185728245920.

The previous prime is 2101130213291. The next prime is 2101130213309. The reversal of 2101130213301 is 1033120311012.

2101130213301 is a `hidden beast` number, since 21 + 0 + 1 + 130 + 213 + 301 = 666.

It is not a de Polignac number, because 2101130213301 - 25 = 2101130213269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101130213309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13891440 + ... + 14041878.

It is an arithmetic number, because the mean of its divisors is an integer number (73159573760).

Almost surely, 22101130213301 is an apocalyptic number.

2101130213301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101130213301 is a deficient number, since it is larger than the sum of its proper divisors (1410529327179).

2101130213301 is a wasteful number, since it uses less digits than its factorization.

2101130213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153206 (or 153203 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2101130213301 its reverse (1033120311012), we get a palindrome (3134250524313).

The spelling of 2101130213301 in words is "two trillion, one hundred one billion, one hundred thirty million, two hundred thirteen thousand, three hundred one".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 2671 5229 8013 18697 24039 56091 150439 168273 221693 451317 665079 1053073 1353951 1551851 1995237 3159219 4655553 9477657 12486437 13966659 37459311 87405059 112377933 262215177 401822569 786645531 1205467707 2812757983 3616403121 8438273949 25314821847 33351273227 100053819681 233458912589 300161459043 700376737767 2101130213301