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202101122202102 = 23517152171607513
BaseRepresentation
bin101101111100111101010101…
…100110001111100111110110
3222111120200022200202000200000
4231330331111212033213312
5202442211044240431402
61553455550202132130
760366216132334404
oct5574752546174766
9874520280660600
10202101122202102
1159439671799292
121a800674ab1046
1388a00919881a6
1437c9a645b2474
1518571a9a75c1c
hexb7cf5598f9f6

202101122202102 has 96 divisors (see below), whose sum is σ = 480847638110112. Its totient is φ = 63400067518464.

The previous prime is 202101122202041. The next prime is 202101122202103. The reversal of 202101122202102 is 201202221101202.

It is a happy number.

202101122202102 is a `hidden beast` number, since 20 + 210 + 1 + 1 + 2 + 220 + 210 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101122202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124919098 + ... + 126526610.

It is an arithmetic number, because the mean of its divisors is an integer number (5008829563647).

Almost surely, 2202101122202102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101122202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240423819055056).

202101122202102 is an abundant number, since it is smaller than the sum of its proper divisors (278746515908010).

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

202101122202102 is a wasteful number, since it uses less digits than its factorization.

202101122202102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622764 (or 1622752 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202101122202102 its reverse (201202221101202), we get a palindrome (403303343303304).

The spelling of 202101122202102 in words is "two hundred two trillion, one hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 15217 30434 45651 91302 136953 258689 273906 410859 517378 776067 821718 1232577 1552134 1607513 2328201 2465154 3215026 3697731 4656402 4822539 6984603 7395462 9645078 13969206 14467617 20953809 27327721 28935234 41907618 43402851 54655442 62861427 81983163 86805702 125722854 130208553 163966326 245949489 260417106 390625659 491898978 737848467 781251318 1475696934 2213545401 4427090802 6640636203 13281272406 24461525321 48923050642 73384575963 146769151926 220153727889 415845930457 440307455778 660461183667 831691860914 1247537791371 1320922367334 1981383551001 2495075582742 3742613374113 3962767102002 5944150653003 7485226748226 11227840122339 11888301306006 22455680244678 33683520367017 67367040734034 101050561101051 202101122202102