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102220033301103 = 317231076431266611
BaseRepresentation
bin10111001111011111110100…
…110001100001101001101111
3111101221010202212122012112010
4113033133310301201221233
5101344233112011113403
61001223122433012303
730350103500636064
oct2717376461415157
9441833685565463
10102220033301103
112a6302aaa22853
12b56ab163b4093
1345064002637b3
141b35694256c6b
15bc3e9e869603
hex5cf7f4c61a6f

102220033301103 has 64 divisors (see below), whose sum is σ = 152228847439872. Its totient is φ = 60681521978880.

The previous prime is 102220033301063. The next prime is 102220033301147. The reversal of 102220033301103 is 301103330022201.

It is not a de Polignac number, because 102220033301103 - 242 = 97821986789999 is a prime.

It is a super-2 number, since 2×1022200333011032 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102220033301103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220033306103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80070268 + ... + 81336878.

It is an arithmetic number, because the mean of its divisors is an integer number (2378575741248).

Almost surely, 2102220033301103 is an apocalyptic number.

102220033301103 is a deficient number, since it is larger than the sum of its proper divisors (50008814138769).

102220033301103 is a wasteful number, since it uses less digits than its factorization.

102220033301103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267404.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102220033301103 its reverse (301103330022201), we get a palindrome (403323363323304).

The spelling of 102220033301103 in words is "one hundred two trillion, two hundred twenty billion, thirty-three million, three hundred one thousand, one hundred three".

Divisors: 1 3 17 23 51 69 107 321 391 643 1173 1819 1929 2461 5457 7383 10931 14789 32793 41837 44367 68801 125511 206403 251413 754239 1169617 1266611 1582423 3508851 3799833 4747269 21532387 26901191 29132053 64597161 80703573 87396159 135527377 406582131 495244901 814430873 1485734703 2303965409 2443292619 3117129671 6911896227 9351389013 13845324841 18731910079 41535974523 52991204407 56195730237 87144103411 158973613221 261432310233 318442471343 955327414029 1481449757987 2004314378453 4444349273961 6012943135359 34073344433701 102220033301103