Search a number
-
+
101001321222030 = 2355291433252749
BaseRepresentation
bin10110111101110000110011…
…110111111000111110001110
3111020121122001201211222200000
4112331300303313320332032
5101214301201213101110
6554451211051345130
730163050616120455
oct2675606367707616
9436548051758600
10101001321222030
112a2004688047a9
12b3b28961521a6
1344484cb06a168
141ad26c0901b9c
15ba24220191c0
hex5bdc33df8f8e

101001321222030 has 96 divisors (see below), whose sum is σ = 281720160540000. Its totient is φ = 26004937859712.

The previous prime is 101001321222017. The next prime is 101001321222041. The reversal of 101001321222030 is 30222123100101.

101001321222030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101001321221994 and 101001321222012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716555905 + ... + 716696844.

It is an arithmetic number, because the mean of its divisors is an integer number (2934585005625).

Almost surely, 2101001321222030 is an apocalyptic number.

101001321222030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001321222030 is an abundant number, since it is smaller than the sum of its proper divisors (180718839317970).

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

101001321222030 is a wasteful number, since it uses less digits than its factorization.

101001321222030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433252800 (or 1433252788 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101001321222030 its reverse (30222123100101), we get a palindrome (131223444322131).

The spelling of 101001321222030 in words is "one hundred one trillion, one billion, three hundred twenty-one million, two hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 435 486 522 783 810 870 1215 1305 1566 2349 2430 2610 3915 4698 7047 7830 11745 14094 23490 35235 70470 1433252749 2866505498 4299758247 7166263745 8599516494 12899274741 14332527490 21498791235 25798549482 38697824223 41564329721 42997582470 64496373705 77395648446 83128659442 116093472669 124692989163 128992747410 193489121115 207821648605 232186945338 249385978326 348280418007 374078967489 386978242230 415643297210 580467363345 623464945815 696560836014 748157934978 1122236902467 1160934726690 1246929891630 1741402090035 1870394837445 2244473804934 3366710707401 3482804180070 3740789674890 5611184512335 6733421414802 10100132122203 11222369024670 16833553537005 20200264244406 33667107074010 50500660611015 101001321222030