Search a number
-
+
101020000010022 = 232172991131103699
BaseRepresentation
bin10110111110000010001101…
…001101110011111100100110
3111020200102021111021201202200
4112332002031031303330212
5101220102430000310042
6554503540342515330
730164311526156352
oct2676021515637446
9436612244251680
10101020000010022
112a208383468675
12b3b6429735b46
13444a1b6ac0b32
141ad3573544462
15ba2b66ca4c4c
hex5be08d373f26

101020000010022 has 48 divisors (see below), whose sum is σ = 231752749503600. Its totient is φ = 31692414352896.

The previous prime is 101020000010021. The next prime is 101020000010047. The reversal of 101020000010022 is 220010000020101.

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 = 101020000009986 and 101020000010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020000010021) 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, 90976729 + ... + 92080427.

It is an arithmetic number, because the mean of its divisors is an integer number (4828182281325).

Almost surely, 2101020000010022 is an apocalyptic number.

101020000010022 is an abundant number, since it is smaller than the sum of its proper divisors (130732749493578).

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

101020000010022 is a wasteful number, since it uses less digits than its factorization.

101020000010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402837 (or 1402834 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101020000010022 its reverse (220010000020101), we get a palindrome (321030000030123).

The spelling of 101020000010022 in words is "one hundred one trillion, twenty billion, ten thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 299113 598226 897339 1103699 1794678 2207398 2692017 3311097 5084921 5384034 6622194 9933291 10169842 15254763 18762883 19866582 30509526 37525766 45764289 56288649 91528578 112577298 168865947 337731894 330130718987 660261437974 990392156961 1980784313922 2971176470883 5612222222779 5942352941766 11224444445558 16836666668337 33673333336674 50510000005011 101020000010022