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101001002200110 = 232510310895469493
BaseRepresentation
bin10110111101110000100000…
…110110111010110000101110
3111020121121020111112222212100
4112331300200312322300232
5101214300023030400420
6554451115253515530
730163036663354425
oct2675604066726056
9436547214488770
10101001002200110
112a200314718921
12b3b2807342ba6
134448479c3c1ac
141ad26903ba2bc
15ba2403eee190
hex5bdc20dbac2e

101001002200110 has 48 divisors (see below), whose sum is σ = 265152145605984. Its totient is φ = 26672109316416.

The previous prime is 101001002199949. The next prime is 101001002200117. The reversal of 101001002200110 is 11002200100101.

It is a happy number.

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 = 101001002200092 and 101001002200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001002200117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5447725477 + ... + 5447744016.

It is an arithmetic number, because the mean of its divisors is an integer number (5524003033458).

Almost surely, 2101001002200110 is an apocalyptic number.

101001002200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001002200110 is an abundant number, since it is smaller than the sum of its proper divisors (164151143405874).

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

101001002200110 is a wasteful number, since it uses less digits than its factorization.

101001002200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10895469609 (or 10895469606 counting only the distinct ones).

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

Adding to 101001002200110 its reverse (11002200100101), we get a palindrome (112003202300211).

The spelling of 101001002200110 in words is "one hundred one trillion, one billion, two million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 10895469493 21790938986 32686408479 54477347465 65372816958 98059225437 108954694930 163432042395 196118450874 326864084790 490296127185 980592254370 1122233357779 2244466715558 3366700073337 5611166788895 6733400146674 10100100220011 11222333577790 16833500366685 20200200440022 33667000733370 50500501100055 101001002200110